363:
distributions are normal. In 1943 Bhattacharyya introduced the family of normal conditional distributions further he derived the probability density function of the normal conditional distribution. In the same work, Bhattacharyya has given nine sets of sufficient conditions under which normal conditional distribution becomes classical bivariate normal distributions.
376:
Bhattacharyya's other research concern was the setting of lower bounds to the variance of an unbiased estimator. His information lower bound is popularly known in the
Statistical literature as the Bhattacharyya Bound. Bhattacharyya's bound was extended for sequential samples as well. The convergence
315:
Bhattacharyya has made contributions to the statistics in four directions. They are: (a) Measuring the divergence between two statistical populations (b) Characterisation of bivariate normal distributions through normal conditional distribution (c) setting up information bounds for the mean square
362:
One of
Bhattacharyya's research concerns towards mathematical probability was the characterization of classical bivariate normal distribution through normal conditional distributions. Normal conditional distributions are bivariate continuous probability distributions whose both conditional
367:
noted
Bhattacharyya's remarkable contribution way back in 1943 by introducing the family of normal conditional densities and has called the normal conditional distribution through various terms such as "Bhattacharyya's normal conditionals distribution", "Bhattacharyya distribution", and
295:. After the post was created, Bhattacharyya was made a full-time Senior Professor and Head of the Department in 1949. He occupied the post of Senior Professor until his retirement in March 1974, but in 1967 he stepped down from the leadership, apparently piqued by certain moves of the
316:
error of estimators (not necessarily unbiased) that may not attain Fréchet-Cramér–Rao lower bound. (d) Unbiased statistics with minimum variance. Bhattacharyya also worked towards finding the distributional representations of dependent chi-square random variables.
346:. Progress toward more general results, which defines the distance metric between two probability distributions which are absolutely continuous with respect to the Lebesgue measure, has been done by Bhattacharyya, which has come in 1942, at Proceedings of the
1289:
216:. His birth name was Anilkumar Bhattacharyya (does not have any middle name, his entire first name was Anilkumar, thus in all of his works his name appeared as A. Bhattacharyya). He passed the
2801:
546:., 46th Session (1959). An abridged form of the aforementioned presidential address (statistical section) is also available and appeared in the Calcutta Statistical Association Bulletin.
2831:
2561:
1434:
Page 10 of this supporting document shows that a paper on divergence named 'On discrimination and divergence' was submitted to the proceedings of the Indian
Science Congress.
2111:
1807:
2836:
2541:
2328:
2503:
2556:
1706:
Summary of Prof. A Bhattacharyya's presidential address at the
Statistics Section of the Indian Science Congress Association Meeting in Delhi, 1959
2593:. A.M. Gun on behalf of the Organising Committee, Golden Jubilee Celebrations, Dept. of Statistics, Presidency College, Calcutta, Calcutta, 1994.
669:. A.M. Gun on behalf of the Organising Committee, Golden Jubilee Celebrations, Dept. of Statistics, Presidency College, Calcutta, Calcutta, 1994.
300:
1767:
Essays on probability and statistics: Festschrift in honour of
Professor Anil Kumar Bhattacharyya. There are multiple reviews of this book, viz
2826:
2566:
291:
as
Superintending Statistician (in charge of training). Mahalanobis requested him to concurrently take classes in the Statistics Department of
586:
900:
The article: "On a measure of divergence between two statistical populations defined by their probability distributions" is on Pages: 99-109
2841:
2081:
347:
2551:
2061:
299:
Government's
Education Department. Almost since his retirement from Government service, he had been associated with the Narendrapur
2846:
1800:
1768:
2301:
2151:
1573:
232:. In 1936 he ranked first in the First Class at the B.A./B.Sc. examination from the same college and went over to the renowned
330:
Distance between statistical distributions had been addressed in 1936 by
Mahalanobis, who proposed the D metric, now known as
2536:
1905:
304:
292:
1945:
2821:
2806:
1824:
351:
2526:
288:
264:
256:
173:
145:
2796:
2546:
2531:
1793:
192:. This measure is widely used in comparing statistical samples in biology, genetics, physics, computer science, etc.
2041:
2409:
2374:
2051:
233:
225:
217:
181:
97:
2341:
2056:
542:"Some uses of the 'amount of information' in the statistical inference", (address of the Sectional President),
435:
339:
267:
as an honorary worker. In 1941, he was made a part-time lecturer in the newly formed
Statistics Department of
2746:"Review of Essays on Probability and Statistics. Festschrift in Honour of Professor Anil Kumar Bhattacharyya"
2652:"Review of Essays on Probability and Statistics: Festschrift in Honour of Professor Anil Kumar Bhattacharyya"
2614:"Review of Essays on Probability and Statistics: Festschrift in Honour of Professor Anil Kumar Bhattacharyya"
412:"On a measure of divergence between two statistical populations defined by their probability distributions",
382:
2467:
2349:
1940:
177:
1545:
Bhattacharyya, A (1951). "The problem of regression in statistical population admitting local parameters".
872:"On a measure of divergence between two statistical populations defined by their probability distributions"
2586:
2508:
2488:
2415:
2228:
1633:
Bhattacharyya, A (1954). "Notes on the use of unbiased and biased statistics in the binomial population".
662:
325:
252:
241:
229:
189:
141:
113:
102:
303:
as a guest teacher. In 1994, on the occasion of its golden jubilee celebration Department of Statistics,
2345:
2337:
1839:
1486:
1661:
2270:
2193:
1930:
2816:
2811:
2427:
2138:
2106:
446:
331:
200:
Bhattacharyya was born to Bhavanath and Lilavati, sometime in March–April 1915 (in the month Chaitra
185:
1126:"On Some Analogues of the Amount of Information and Their Use in Statistical Estimation (Concluded)"
551:"On a geometrical representation of probability distribution and its use in statistical inference",
434:, 7 (1945), 27 - 28. In this paper, an expression of the distribution function of sum two dependent
2493:
2462:
2386:
2256:
2086:
2031:
2026:
1980:
1720:"On a Geometrical Representation of Probability Distributions and its use in Statistical Inference"
268:
237:
221:
871:
2773:
2726:
2679:
2633:
2591:
Essays on probability and statistics: Festschrift in honour of Professor Anil Kumar Bhattacharyya
1995:
1816:
1747:
1697:
1607:
1527:
1459:
1425:
1379:
1345:
Essays on Probability and Statistics: Festschrift in Honour of Professor Anil Kumar Bhattacharyya
1325:
1317:
1192:
1137:
1095:
1084:"On Some Analogues of the Amount of Information and Their Use in Statistical Estimation (Contd.)"
1053:
1016:
Essays on Probability and Statistics: Festschrift in Honour of Professor Anil Kumar Bhattacharyya
996:
930:
891:
816:
740:
Essays on Probability and Statistics: Festschrift in Honour of Professor Anil Kumar Bhattacharyya
720:
667:
Essays on probability and statistics: Festschrift in honour of Professor Anil Kumar Bhattacharyya
639:
342:, this work despite being submitted for publication in 1941, appeared almost five years later in
180:, particularly for his measure of similarity between two multinomial distributions, known as the
1677:
846:
762:
248:
as his teachers and passed the M.A. Examination in 1938 with the first rank in the First Class.
2433:
488:"On some analogues of the amount of information and their uses in statistical estimation" III,
2765:
2718:
2671:
2625:
2594:
2498:
2380:
2200:
1975:
1970:
1844:
1417:
1348:
1309:
1270:
1231:
1184:
1019:
980:
782:
743:
712:
670:
631:
623:
582:
472:"On some analogues of the amount of information and their uses in statistical estimation" II,
442:
343:
335:
51:
2179:
463:"On some analogues of the amount of information and their uses in statistical estimation" I,
2757:
2710:
2663:
2214:
2096:
2066:
2036:
1950:
1731:
1689:
1511:
1301:
1262:
1223:
1176:
972:
774:
704:
615:
260:
245:
201:
161:
2698:
1743:
1646:
1619:
1558:
1523:
1471:
1391:
1149:
1107:
1065:
992:
960:
942:
887:
828:
692:
2421:
2368:
2296:
2242:
2091:
1960:
1739:
1642:
1615:
1554:
1519:
1467:
1387:
1145:
1103:
1061:
988:
938:
883:
824:
438:
2207:
2000:
1920:
1849:
1042:"On Some Analogues of the Amount of Information and Their Use in Statistical Estimation"
307:(then Presidency College), released a Festschrift in honour of Professor Bhattacharyya.
2392:
2312:
2249:
2172:
2158:
2076:
2071:
2005:
1900:
1859:
1343:
Sen, P. K. (1994). "A Bhattacharyya detour of MSE bounds for some censoring schemes".
1250:
421:"On some sets of sufficient conditions leading to the normal bivariate distribution",
2790:
2730:
2472:
2404:
2333:
2235:
1895:
1780:
1751:
1701:
1531:
1329:
1000:
895:
724:
378:
364:
55:
1985:
919:"On Some Sets of Sufficient Conditions Leading to the Normal Bivariate Distribution"
643:
2439:
2277:
2221:
2165:
1965:
1890:
169:
131:
506:"The problem of regression in statistical population admitting local parameters",
576:
533:"Notes on the use of unbiased and biased statistics in the binomial population",
350:. The final work towards this direction appeared in 1943, in the Bulletin of the
2445:
2398:
2186:
2132:
1915:
1869:
296:
213:
209:
59:
2144:
2101:
1955:
1935:
1910:
1515:
1227:
1180:
604:"Bhattacharyya's distance measure as a precursor of genetic distance measures"
603:
2769:
2722:
2714:
2675:
2629:
2598:
1776:
1735:
1719:
1693:
1421:
1352:
1313:
1274:
1235:
1188:
1023:
1014:
Arnold, Barry C. (1994). "Bhattacharyya's normal conditionals distribution".
984:
976:
786:
747:
716:
708:
674:
627:
2263:
1925:
1885:
1266:
1251:"On the convergence of the Bhattacharyya bounds in the multiparametric case"
272:
1678:"Forty Sixth Indian Science Congress Proceedings of the Statistics Section"
778:
635:
602:
Chattopadhyay, Aparna; Chattopadhyay, Asis Kumar; B-Rao, Chandrika (2004).
1211:
2046:
2010:
1990:
479:"Some analogues of the amount of information in statistical estimation",
284:
205:
44:
2637:
2613:
1611:
1595:
1463:
1447:
1429:
1405:
1383:
1367:
1141:
1125:
1099:
1083:
1057:
1041:
934:
918:
820:
804:
2777:
2745:
2683:
2651:
1864:
1502:
Bhattacharyya, A. (1950). "Unbiased Statistics with Minimum Variance".
1321:
1196:
1164:
619:
377:
property of Bhattacharyya Bound was well studied by other researchers.
48:
1854:
1785:
1504:
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics
2761:
2667:
1305:
454:"On a measure of divergence between two multinomial populations",
381:
has studied the effectiveness of the Bhattacharyya Bound over the
280:
276:
87:
63:
176:
in the 1930s and early 40s. He made fundamental contributions to
2112:
Shanti Swarup Bhatnagar Prize recipients in Mathematical Science
805:"On a Measure of Divergence between Two Multinomial Populations"
275:, H. K. Nandi, and T. P. Choudhury, as his students. He went to
2618:
Sankhyā: The Indian Journal of Statistics, Series A (1961-2002)
1789:
1406:"Indian Statistical Institute: Eleventh Annual Report: 1942-43"
524:"On some uses of the t-distribution in multivariate analysis",
738:
Gun, A. M. (1994). "Truly a teacher in the Indian tradition".
693:"Anil Kumar Bhattacharyya (1915-1996): A Reverent Remembrance"
1777:
Anil Kumar Bhattacharyya (1915-1996): A Reverent Remembrance
1596:"On the Uses of the t-Distribution in Multivariate Analysis"
2313:
Infinite series expansions for the trigonometric functions
283:
Government, in December 1943 and, in 1946, he returned to
204:: চৈত্র of the year 1321, the exact date is not known) at
2307:
1290:"Some characterizations based on the Bhattacharya matrix"
515:"Some uses of the t-statistic in multivariate analysis",
1488:
Proceedings Of The Thirty Fourth Indian Science Congress
430:"A note on the distribution of the sum of chi-squares",
1574:"Some uses of the t-statistic in multivariate analysis"
1448:"A Note on the Distribution of the Sum of Chi-Squares"
2562:
Ramanujan Institute for Advanced Study in Mathematics
1410:
Sankhyā: The Indian Journal of Statistics (1933-1960)
767:
Biographical Memoirs of Fellows of the Royal Society
168:) (1 April 1915 – 17 July 1996) was an Indian
2517:
2481:
2455:
2359:
2321:
2287:
2124:
2019:
1878:
1832:
1823:
1547:
Bulletin of the International Statistical Institute
358:
Deriving the PDF of Normal Conditional Distribution
137:
127:
109:
93:
83:
71:
30:
23:
2802:Academic staff of the Indian Statistical Institute
2589:; Chaudhuri, Arijit; Basu, Sujit K., eds. (1994).
665:; Chaudhuri, Arijit; Basu, Sujit K., eds. (1994).
394:"A note on Ramamurti's problem of maximal sets",
1666:. INDIAN SCIENCE CONGRESS ASSOCIATION, CALCUTTA.
2750:Journal of the American Statistical Association
1368:"A Note on Ramamurti's Problem of Maximal Sets"
1801:
876:Bulletin of the Calcutta Mathematical Society
497:"Unbiased statistics with minimum variance",
279:to take up the job of Statistical Officer of
8:
2832:Academic staff of the University of Calcutta
2329:Kerala school of astronomy and mathematics
1829:
1808:
1794:
1786:
1663:INDIAN SCIENCE CONGRESS ASSOCIATION PART-2
1578:Proceedings of the Indian Science Congress
851:Proceedings of the Indian Science Congress
763:"Prasantha Chandra Mahalanobis, 1893-1972"
578:The Oxford Dictionary of Statistical Terms
20:
2703:Calcutta Statistical Association Bulletin
1724:Calcutta Statistical Association Bulletin
1682:Calcutta Statistical Association Bulletin
1635:Calcutta Statistical Association Bulletin
1582:Abstract portion of the work (on page 65)
1212:"The convergence of Bhattacharyya bounds"
965:Calcutta Statistical Association Bulletin
697:Calcutta Statistical Association Bulletin
240:for an M.Sc. in Mathematics. Here he had
2557:Homi Bhabha Centre for Science Education
334:. Subsequently, Bhattacharyya defined a
2578:
1485:Indian Science Congress, Delhi (1947).
564:
301:Ramakrishna Mission Residential College
1210:BLIGHT, B. J. N.; RAO, P. V. (1974).
1169:The Annals of Mathematical Statistics
1119:
1117:
1077:
1075:
1035:
1033:
961:"Variations on a Bhattacharyya Theme"
954:
952:
912:
910:
908:
570:
568:
385:lower bound in the censoring scheme.
271:, headed by Mahalanobis. Here he had
7:
865:
863:
840:
838:
798:
796:
686:
684:
657:
655:
653:
403:"On discrimination and divergence",
2082:Subbayya Sivasankaranarayana Pillai
2837:20th-century Indian mathematicians
2542:Institute of Mathematical Sciences
847:"On discrimination and divergence"
14:
2552:Harish-Chandra Research Institute
2062:K. R. Parthasarathy (probabilist)
255:'s suggestion, Bhattacharyya met
1660:Indian Science Congress (1959).
368:"Bhattacharyya's density" etc.
2537:Chennai Mathematical Institute
1906:Melpathur Narayana Bhattathiri
1294:Journal of Applied Probability
1165:"On the Variance of Estimates"
510:, 33, Part II (1951), 29 - 54.
184:, based on which he defined a
1:
2827:University of Calcutta alumni
352:Calcutta Mathematical Society
2527:Indian Statistical Institute
1769:review by Prof S. Das. Gupta
1249:Alharbi, Abdulghani (1994).
855:Abstract portion of the work
289:Indian Statistical Institute
265:Indian Statistical Institute
174:Indian Statistical Institute
146:Indian Statistical Institute
2842:Scientists from West Bengal
2547:Indian Institute of Science
2532:Bhaskaracharya Pratishthana
2410:A. A. Krishnaswamy Ayyangar
2375:Shankar Balakrishna Dikshit
2302:Hindu–Arabic numeral system
581:. Oxford University Press.
441:was given in the form of a
311:Contributions to Statistics
2863:
2042:Subrahmanyan Chandrasekhar
1718:Bhattacharyya, A. (1990).
1594:Bhattacharyya, A. (1952).
1446:Bhattacharyya, A. (1945).
1366:Bhattacharyya, A. (1942).
1255:Applicationes Mathematicae
1124:Bhattacharyya, A. (1948).
1082:Bhattacharyya, A. (1947).
1040:Bhattacharyya, A. (1946).
917:Bhattacharyya, A. (1943).
803:Bhattacharyya, A. (1946).
691:Sen, Pranab Kumar (1996).
323:
2052:Veeravalli S. Varadarajan
1572:Bhattacharyya, A (1951).
1516:10.1017/S0080454100006993
959:Arnold, Barry C. (1999).
870:Bhattacharyya, A (1943).
845:Bhattacharyya, A (1942).
340:multinomial distributions
338:for the distance between
218:Matriculation Examination
182:Bhattacharyya coefficient
165:
151:
120:
98:Rajabazar Science College
2715:10.1177/0008068319950110
2468:Henry Thomas Colebrooke
2057:S. R. Srinivasa Varadhan
1736:10.1177/0008068319900504
1694:10.1177/0008068319590103
1288:Shanbhag, D. N. (1972).
977:10.1177/0008068319990102
709:10.1177/0008068319960301
555:, 40 (1990–91), 23 - 49.
501:, A, 63 (1950), 69 - 77.
158:Anil kumar Bhattacharyya
25:Anil Kumar Bhattacharyya
2847:Anil Kumar Bhattacharya
2697:Senroy, Sugata (1995).
1941:Mādhava of Saṅgamagrāma
1267:10.4064/am-22-3-339-349
1228:10.1093/biomet/61.1.137
1181:10.1214/aoms/1177730088
575:Dodge, Yadolah (2003).
553:Cal. Stat. Assoc. Bull.
537:., 5 (1954), 149 - 164.
348:Indian Science Congress
178:multivariate statistics
166:অনিল কুমার ভট্টাচার্য্য
2612:Gupta, S. Das (1995).
1771:, review by RBL, etc.
779:10.1098/rsbm.1973.0017
608:Journal of Biosciences
535:Cal. Stat. Assoc. Bull
528:, 12 (1952), 89 - 104.
519:, 38th Session (1951).
508:Bull. Int. Stat. Inst.
483:, 34th Session (1947).
458:, 7 (1946), 401 - 406.
407:, 29th Session (1942).
326:Bhattacharyya distance
320:Bhattacharyya distance
230:Hooghly Mohsin College
190:Bhattacharyya distance
142:University of Calcutta
114:Bhattacharyya distance
103:University of Calcutta
2152:Brāhmasphuṭasiddhānta
499:Proc. Roy. Soc. Edin.
492:, 8 (1948) 315 - 328.
476:, 8 (1947) 201 - 218.
425:, 6 (1943) 399 - 406.
416:, 35 (1943) 99 - 109.
398:, 6 (1942) 189 - 192.
305:Presidency University
116:, Bhattacharyya bound
2822:People from Bhatpara
2807:Indian statisticians
2428:T. A. Saraswati Amma
2139:Bakhshali manuscript
2107:Kannan Soundararajan
1688:(1–2): 29–45. 1959.
1416:(4): 431–441. 1943.
1163:Seth, G. R. (1949).
517:Proc. Ind. Sc. Cong.
481:Proc. Ind. Sc. Cong.
447:Laguerre polynomials
414:Bull. Cal. Math. Soc
405:Proc. Ind. Sc. Cong.
332:Mahalanobis distance
2504:Islamic mathematics
2463:Walter Eugene Clark
2257:Vasishtha Siddhanta
2229:Siddhānta Shiromani
2208:Paitamaha Siddhanta
2087:Tilak Raj Prabhakar
2032:Satyendra Nath Bose
2027:Srinivasa Ramanujan
1981:Nilakantha Somayaji
761:Rao, C. R. (1973).
544:Proc. Ind. Sc. Cong
372:Bhattacharyya Bound
269:Calcutta University
238:Calcutta University
222:Calcutta University
208:in the district of
16:Indian statistician
2797:Bengali scientists
1996:Gangesha Upadhyaya
1817:Indian mathematics
620:10.1007/BF02703410
467:, 8 (1946) 1 - 14.
383:Fréchet-Cramér–Rao
293:Presidency College
226:I. Sc. Examination
172:who worked at the
2662:(3): 1163. 1996.
2575:
2574:
2381:Sudhakara Dvivedi
2201:Paulisa Siddhanta
2120:
2119:
1976:Jagannatha Samrat
1971:Achyuta Pisharati
588:978-0-19-920613-1
443:convergent series
257:P. C. Mahalanobis
155:
154:
122:Scientific career
52:Bengal Presidency
2854:
2782:
2781:
2741:
2735:
2734:
2709:(1–2): 131–136.
2694:
2688:
2687:
2648:
2642:
2641:
2609:
2603:
2602:
2587:Mukherjee, S. P.
2583:
2215:Romaka Siddhanta
2097:Akshay Venkatesh
2067:M. S. Narasimhan
2037:P.C. Mahalanobis
1830:
1810:
1803:
1796:
1787:
1756:
1755:
1715:
1709:
1708:
1674:
1668:
1667:
1657:
1651:
1650:
1630:
1624:
1623:
1591:
1585:
1584:
1569:
1563:
1562:
1542:
1536:
1535:
1499:
1493:
1492:
1482:
1476:
1475:
1443:
1437:
1436:
1402:
1396:
1395:
1363:
1357:
1356:
1340:
1334:
1333:
1285:
1279:
1278:
1246:
1240:
1239:
1207:
1201:
1200:
1160:
1154:
1153:
1121:
1112:
1111:
1079:
1070:
1069:
1037:
1028:
1027:
1011:
1005:
1004:
956:
947:
946:
914:
903:
902:
867:
858:
857:
842:
833:
832:
800:
791:
790:
758:
752:
751:
735:
729:
728:
703:(3–4): 151–158.
688:
679:
678:
663:Mukherjee, S. P.
659:
648:
647:
599:
593:
592:
572:
439:random variables
246:Raj Chandra Bose
167:
78:
40:
38:
21:
2862:
2861:
2857:
2856:
2855:
2853:
2852:
2851:
2787:
2786:
2785:
2762:10.2307/2291500
2743:
2742:
2738:
2696:
2695:
2691:
2668:10.2307/2533086
2650:
2649:
2645:
2611:
2610:
2606:
2585:
2584:
2580:
2576:
2571:
2519:
2513:
2477:
2451:
2422:C. T. Rajagopal
2369:Bapudeva Sastri
2361:
2355:
2317:
2297:Brahmi numerals
2289:
2283:
2243:Surya Siddhanta
2116:
2092:Manjul Bhargava
2015:
1874:
1819:
1814:
1764:
1759:
1717:
1716:
1712:
1676:
1675:
1671:
1659:
1658:
1654:
1632:
1631:
1627:
1606:(1/2): 89–104.
1593:
1592:
1588:
1571:
1570:
1566:
1544:
1543:
1539:
1501:
1500:
1496:
1484:
1483:
1479:
1445:
1444:
1440:
1404:
1403:
1399:
1365:
1364:
1360:
1342:
1341:
1337:
1306:10.2307/3212327
1287:
1286:
1282:
1248:
1247:
1243:
1209:
1208:
1204:
1162:
1161:
1157:
1123:
1122:
1115:
1081:
1080:
1073:
1039:
1038:
1031:
1013:
1012:
1008:
958:
957:
950:
916:
915:
906:
869:
868:
861:
844:
843:
836:
802:
801:
794:
760:
759:
755:
737:
736:
732:
690:
689:
682:
661:
660:
651:
601:
600:
596:
589:
574:
573:
566:
562:
391:
374:
365:Barry C. Arnold
360:
328:
322:
313:
263:and joined the
234:Science College
198:
100:
94:Alma mater
76:
67:
42:
36:
34:
26:
17:
12:
11:
5:
2860:
2858:
2850:
2849:
2844:
2839:
2834:
2829:
2824:
2819:
2814:
2809:
2804:
2799:
2789:
2788:
2784:
2783:
2736:
2689:
2643:
2604:
2577:
2573:
2572:
2570:
2569:
2564:
2559:
2554:
2549:
2544:
2539:
2534:
2529:
2523:
2521:
2515:
2514:
2512:
2511:
2506:
2501:
2496:
2491:
2485:
2483:
2479:
2478:
2476:
2475:
2470:
2465:
2459:
2457:
2453:
2452:
2450:
2449:
2443:
2437:
2431:
2425:
2419:
2413:
2407:
2402:
2396:
2393:P. C. Sengupta
2390:
2384:
2378:
2372:
2365:
2363:
2357:
2356:
2354:
2353:
2331:
2325:
2323:
2319:
2318:
2316:
2315:
2310:
2304:
2299:
2293:
2291:
2285:
2284:
2282:
2281:
2274:
2267:
2260:
2253:
2250:Tantrasamgraha
2246:
2239:
2232:
2225:
2218:
2211:
2204:
2197:
2190:
2183:
2176:
2173:Karanapaddhati
2169:
2162:
2159:Ganita Kaumudi
2155:
2148:
2141:
2136:
2128:
2126:
2122:
2121:
2118:
2117:
2115:
2114:
2109:
2104:
2099:
2094:
2089:
2084:
2079:
2077:Harish-Chandra
2074:
2072:C. S. Seshadri
2069:
2064:
2059:
2054:
2049:
2044:
2039:
2034:
2029:
2023:
2021:
2017:
2016:
2014:
2013:
2008:
2006:Sankara Variar
2003:
1998:
1993:
1988:
1983:
1978:
1973:
1968:
1963:
1958:
1953:
1948:
1943:
1938:
1933:
1928:
1923:
1918:
1913:
1908:
1903:
1898:
1893:
1888:
1882:
1880:
1876:
1875:
1873:
1872:
1867:
1862:
1857:
1852:
1847:
1842:
1836:
1834:
1827:
1825:Mathematicians
1821:
1820:
1815:
1813:
1812:
1805:
1798:
1790:
1784:
1783:
1773:
1772:
1763:
1762:External links
1760:
1758:
1757:
1730:(1–4): 23–49.
1710:
1669:
1652:
1625:
1586:
1564:
1537:
1494:
1477:
1438:
1397:
1378:(2): 189–192.
1358:
1335:
1300:(3): 580–587.
1280:
1261:(3): 339–349.
1241:
1222:(1): 137–142.
1202:
1155:
1136:(4): 315–328.
1113:
1094:(3): 201–218.
1071:
1029:
1006:
971:(1–2): 23–30.
948:
929:(4): 399–406.
904:
859:
834:
815:(4): 401–406.
792:
753:
730:
680:
649:
614:(2): 135–138.
594:
587:
563:
561:
558:
557:
556:
548:
547:
539:
538:
530:
529:
521:
520:
512:
511:
503:
502:
494:
493:
485:
484:
477:
469:
468:
460:
459:
451:
450:
427:
426:
418:
417:
409:
408:
400:
399:
390:
387:
373:
370:
359:
356:
324:Main article:
321:
318:
312:
309:
259:together with
197:
194:
153:
152:
149:
148:
139:
135:
134:
129:
125:
124:
118:
117:
111:
110:Known for
107:
106:
95:
91:
90:
85:
81:
80:
79:(aged 81)
73:
69:
68:
43:
32:
28:
27:
24:
15:
13:
10:
9:
6:
4:
3:
2:
2859:
2848:
2845:
2843:
2840:
2838:
2835:
2833:
2830:
2828:
2825:
2823:
2820:
2818:
2815:
2813:
2810:
2808:
2805:
2803:
2800:
2798:
2795:
2794:
2792:
2779:
2775:
2771:
2767:
2763:
2759:
2755:
2751:
2747:
2740:
2737:
2732:
2728:
2724:
2720:
2716:
2712:
2708:
2704:
2700:
2699:"Book Review"
2693:
2690:
2685:
2681:
2677:
2673:
2669:
2665:
2661:
2657:
2653:
2647:
2644:
2639:
2635:
2631:
2627:
2623:
2619:
2615:
2608:
2605:
2600:
2596:
2592:
2588:
2582:
2579:
2568:
2565:
2563:
2560:
2558:
2555:
2553:
2550:
2548:
2545:
2543:
2540:
2538:
2535:
2533:
2530:
2528:
2525:
2524:
2522:
2516:
2510:
2507:
2505:
2502:
2500:
2497:
2495:
2492:
2490:
2487:
2486:
2484:
2482:Other regions
2480:
2474:
2473:David Pingree
2471:
2469:
2466:
2464:
2461:
2460:
2458:
2454:
2447:
2444:
2441:
2438:
2435:
2432:
2429:
2426:
2423:
2420:
2417:
2414:
2411:
2408:
2406:
2403:
2400:
2397:
2394:
2391:
2388:
2387:M. Rangacarya
2385:
2382:
2379:
2376:
2373:
2370:
2367:
2366:
2364:
2360:Historians of
2358:
2351:
2347:
2343:
2339:
2335:
2334:Jantar Mantar
2332:
2330:
2327:
2326:
2324:
2320:
2314:
2311:
2309:
2305:
2303:
2300:
2298:
2295:
2294:
2292:
2286:
2280:
2279:
2275:
2273:
2272:
2268:
2266:
2265:
2261:
2259:
2258:
2254:
2252:
2251:
2247:
2245:
2244:
2240:
2238:
2237:
2233:
2231:
2230:
2226:
2224:
2223:
2219:
2217:
2216:
2212:
2210:
2209:
2205:
2203:
2202:
2198:
2196:
2195:
2191:
2189:
2188:
2184:
2182:
2181:
2177:
2175:
2174:
2170:
2168:
2167:
2163:
2161:
2160:
2156:
2154:
2153:
2149:
2147:
2146:
2142:
2140:
2137:
2135:
2134:
2130:
2129:
2127:
2123:
2113:
2110:
2108:
2105:
2103:
2100:
2098:
2095:
2093:
2090:
2088:
2085:
2083:
2080:
2078:
2075:
2073:
2070:
2068:
2065:
2063:
2060:
2058:
2055:
2053:
2050:
2048:
2045:
2043:
2040:
2038:
2035:
2033:
2030:
2028:
2025:
2024:
2022:
2018:
2012:
2009:
2007:
2004:
2002:
1999:
1997:
1994:
1992:
1989:
1987:
1984:
1982:
1979:
1977:
1974:
1972:
1969:
1967:
1964:
1962:
1959:
1957:
1954:
1952:
1951:Mahendra Sūri
1949:
1947:
1944:
1942:
1939:
1937:
1934:
1932:
1929:
1927:
1924:
1922:
1919:
1917:
1914:
1912:
1909:
1907:
1904:
1902:
1899:
1897:
1894:
1892:
1889:
1887:
1884:
1883:
1881:
1877:
1871:
1868:
1866:
1863:
1861:
1858:
1856:
1853:
1851:
1848:
1846:
1843:
1841:
1838:
1837:
1835:
1831:
1828:
1826:
1822:
1818:
1811:
1806:
1804:
1799:
1797:
1792:
1791:
1788:
1782:
1781:Pranab K. Sen
1778:
1775:
1774:
1770:
1766:
1765:
1761:
1753:
1749:
1745:
1741:
1737:
1733:
1729:
1725:
1721:
1714:
1711:
1707:
1703:
1699:
1695:
1691:
1687:
1683:
1679:
1673:
1670:
1665:
1664:
1656:
1653:
1648:
1644:
1640:
1636:
1629:
1626:
1621:
1617:
1613:
1609:
1605:
1601:
1597:
1590:
1587:
1583:
1579:
1575:
1568:
1565:
1560:
1556:
1552:
1548:
1541:
1538:
1533:
1529:
1525:
1521:
1517:
1513:
1509:
1505:
1498:
1495:
1490:
1489:
1481:
1478:
1473:
1469:
1465:
1461:
1457:
1453:
1449:
1442:
1439:
1435:
1431:
1427:
1423:
1419:
1415:
1411:
1407:
1401:
1398:
1393:
1389:
1385:
1381:
1377:
1373:
1369:
1362:
1359:
1354:
1350:
1346:
1339:
1336:
1331:
1327:
1323:
1319:
1315:
1311:
1307:
1303:
1299:
1295:
1291:
1284:
1281:
1276:
1272:
1268:
1264:
1260:
1256:
1252:
1245:
1242:
1237:
1233:
1229:
1225:
1221:
1217:
1213:
1206:
1203:
1198:
1194:
1190:
1186:
1182:
1178:
1174:
1170:
1166:
1159:
1156:
1151:
1147:
1143:
1139:
1135:
1131:
1127:
1120:
1118:
1114:
1109:
1105:
1101:
1097:
1093:
1089:
1085:
1078:
1076:
1072:
1067:
1063:
1059:
1055:
1051:
1047:
1043:
1036:
1034:
1030:
1025:
1021:
1017:
1010:
1007:
1002:
998:
994:
990:
986:
982:
978:
974:
970:
966:
962:
955:
953:
949:
944:
940:
936:
932:
928:
924:
920:
913:
911:
909:
905:
901:
897:
893:
889:
885:
881:
877:
873:
866:
864:
860:
856:
852:
848:
841:
839:
835:
830:
826:
822:
818:
814:
810:
806:
799:
797:
793:
788:
784:
780:
776:
772:
768:
764:
757:
754:
749:
745:
741:
734:
731:
726:
722:
718:
714:
710:
706:
702:
698:
694:
687:
685:
681:
676:
672:
668:
664:
658:
656:
654:
650:
645:
641:
637:
633:
629:
625:
621:
617:
613:
609:
605:
598:
595:
590:
584:
580:
579:
571:
569:
565:
559:
554:
550:
549:
545:
541:
540:
536:
532:
531:
527:
523:
522:
518:
514:
513:
509:
505:
504:
500:
496:
495:
491:
487:
486:
482:
478:
475:
471:
470:
466:
462:
461:
457:
453:
452:
448:
444:
440:
437:
433:
429:
428:
424:
420:
419:
415:
411:
410:
406:
402:
401:
397:
393:
392:
388:
386:
384:
380:
371:
369:
366:
357:
355:
353:
349:
345:
341:
337:
336:cosine metric
333:
327:
319:
317:
310:
308:
306:
302:
298:
294:
290:
286:
282:
278:
274:
270:
266:
262:
258:
254:
249:
247:
243:
239:
235:
231:
228:in 1934 from
227:
223:
219:
215:
211:
207:
203:
195:
193:
191:
187:
183:
179:
175:
171:
163:
159:
150:
147:
143:
140:
136:
133:
130:
126:
123:
119:
115:
112:
108:
104:
99:
96:
92:
89:
86:
82:
74:
70:
65:
61:
57:
56:British India
53:
50:
46:
33:
29:
22:
19:
2756:(437): 390.
2753:
2749:
2744:Rbl (1997).
2739:
2706:
2702:
2692:
2659:
2655:
2646:
2621:
2617:
2607:
2590:
2581:
2520:institutions
2440:K. S. Shukla
2412:(1892– 1953)
2278:Yavanajataka
2276:
2269:
2262:
2255:
2248:
2241:
2236:Śulba Sūtras
2234:
2227:
2222:Sadratnamala
2220:
2213:
2206:
2199:
2192:
2185:
2178:
2171:
2166:Kanakkusaram
2164:
2157:
2150:
2143:
2131:
2001:Varāhamihira
1966:Parameshvara
1921:Govindasvāmi
1891:Āryabhaṭa II
1727:
1723:
1713:
1705:
1685:
1681:
1672:
1662:
1655:
1638:
1634:
1628:
1603:
1599:
1589:
1581:
1577:
1567:
1550:
1546:
1540:
1510:(1): 69–77.
1507:
1503:
1497:
1487:
1480:
1458:(1): 27–28.
1455:
1451:
1441:
1433:
1413:
1409:
1400:
1375:
1371:
1361:
1344:
1338:
1297:
1293:
1283:
1258:
1254:
1244:
1219:
1215:
1205:
1172:
1168:
1158:
1133:
1129:
1091:
1087:
1049:
1045:
1015:
1009:
968:
964:
926:
922:
899:
879:
875:
854:
850:
812:
808:
770:
766:
756:
739:
733:
700:
696:
666:
611:
607:
597:
577:
552:
543:
534:
525:
516:
507:
498:
489:
480:
473:
464:
455:
431:
422:
413:
404:
395:
375:
361:
329:
314:
251:In 1939, at
250:
224:in 1932 and
199:
170:statistician
157:
156:
138:Institutions
132:Statistician
121:
77:(1996-07-17)
75:17 July 1996
41:1 April 1915
18:
2817:1996 deaths
2812:1915 births
2456:Translators
2448:(1919–2005)
2446:K. V. Sarma
2442:(1918–2007)
2436:(1918–1992)
2430:(1918–2000)
2424:(1903–1978)
2418:(1901–1954)
2416:A. N. Singh
2401:(1888–1958)
2399:B. B. Datta
2395:(1876–1962)
2389:(1861–1916)
2383:(1855–1910)
2377:(1853–1898)
2371:(1821–1900)
2362:mathematics
2306:Symbol for
2290:innovations
2187:Lokavibhaga
2133:Aryabhatiya
1931:Jyeṣṭhadeva
1916:Brahmagupta
1901:Bhāskara II
1886:Āryabhaṭa I
1870:Yajnavalkya
1641:: 149–164.
1347:: 153–172.
1175:(1): 1–27.
1052:(1): 1–14.
773:: 455–492.
742:: vi–xxii.
297:West Bengal
214:West Bengal
210:24 Parganas
84:Citizenship
60:West Bengal
2791:Categories
2656:Biometrics
2624:(1): 166.
2405:T. Hayashi
2288:Pioneering
2271:Yuktibhāṣā
2194:Pātīgaṇita
2145:Bijaganita
2102:Ravi Vakil
1956:Munishvara
1936:Kamalakara
1911:Brahmadeva
1896:Bhāskara I
1845:Baudhayana
1216:Biometrika
882:: 99–109.
560:References
436:Chi-square
242:F. W. Levi
37:1915-04-01
2770:0162-1459
2731:220748897
2723:0008-0683
2676:0006-341X
2630:0581-572X
2599:230185222
2434:S. N. Sen
2342:New Delhi
2264:Veṇvāroha
2125:Treatises
1926:Halayudha
1879:Classical
1850:Katyayana
1840:Apastamba
1752:125793582
1702:220749750
1553:: 29–54.
1532:124275255
1422:0036-4452
1353:230185222
1330:123725201
1314:0021-9002
1275:1233-7234
1236:0006-3444
1189:0003-4851
1024:230185222
1001:125755221
985:0008-0683
896:235941388
787:0080-4606
748:230185222
725:164326977
717:0008-0683
675:230185222
628:0250-5991
379:P. K. Sen
273:C. R. Rao
2638:25051041
2350:Varanasi
2308:zero (0)
2180:Līlāvatī
2047:C.R. Rao
2011:Virasena
1991:Sridhara
1961:Narayana
1946:Mahāvīra
1612:25048117
1464:25047828
1430:25047812
1384:25047757
1142:25047897
1100:25047948
1058:25047921
1018:: 1–13.
935:25047806
821:25047882
644:18485884
636:15295209
287:to join
285:Calcutta
206:Bhatpara
45:Bhatpara
2778:2291500
2684:2533086
2489:Babylon
2322:Centres
1986:Śrīpati
1865:Pingala
1833:Ancient
1744:1172634
1647:0067422
1620:0058921
1600:Sankhyā
1559:0069464
1524:0035947
1472:0013271
1452:Sankhyā
1392:0008326
1372:Sankhyā
1322:3212327
1197:2236801
1150:0026302
1130:Sankhyā
1108:0023503
1088:Sankhyā
1066:0020242
1046:Sankhyā
993:1744884
943:0010360
923:Sankhyā
888:0010358
829:0018387
809:Sankhyā
526:Sankhya
490:Sankhya
474:Sankhya
465:Sankhya
456:Sankhya
432:Sankhya
423:Sankhya
396:Sankhya
344:Sankhya
202:Bengali
162:Bengali
49:Kolkata
2776:
2768:
2729:
2721:
2682:
2674:
2636:
2628:
2597:
2518:Modern
2509:Europe
2499:Greece
2346:Ujjain
2338:Jaipur
2020:Modern
1860:Pāṇini
1855:Manava
1750:
1742:
1700:
1645:
1618:
1610:
1557:
1530:
1522:
1470:
1462:
1428:
1420:
1390:
1382:
1351:
1328:
1320:
1312:
1273:
1234:
1195:
1187:
1148:
1140:
1106:
1098:
1064:
1056:
1022:
999:
991:
983:
941:
933:
894:
886:
827:
819:
785:
746:
723:
715:
673:
642:
634:
626:
585:
188:, the
186:metric
128:Fields
2774:JSTOR
2727:S2CID
2680:JSTOR
2634:JSTOR
2494:China
1748:S2CID
1698:S2CID
1608:JSTOR
1528:S2CID
1460:JSTOR
1426:JSTOR
1380:JSTOR
1326:S2CID
1318:JSTOR
1193:JSTOR
1138:JSTOR
1096:JSTOR
1054:JSTOR
997:S2CID
931:JSTOR
892:S2CID
817:JSTOR
721:S2CID
640:S2CID
389:Works
281:Bihar
277:Patna
88:India
64:India
58:(Now
2766:ISSN
2719:ISSN
2672:ISSN
2626:ISSN
2595:OCLC
2567:TIFR
1418:ISSN
1349:OCLC
1310:ISSN
1271:ISSN
1232:ISSN
1185:ISSN
1020:OCLC
981:ISSN
783:ISSN
744:OCLC
713:ISSN
671:OCLC
632:PMID
624:ISSN
583:ISBN
261:Bose
253:Levy
244:and
196:Life
72:Died
31:Born
2758:doi
2711:doi
2664:doi
1779:by
1732:doi
1690:doi
1512:doi
1302:doi
1263:doi
1224:doi
1177:doi
973:doi
775:doi
705:doi
616:doi
445:in
220:of
212:of
2793::
2772:.
2764:.
2754:92
2752:.
2748:.
2725:.
2717:.
2707:45
2705:.
2701:.
2678:.
2670:.
2660:52
2658:.
2654:.
2632:.
2622:57
2620:.
2616:.
2348:,
2344:,
2340:,
1746:.
1740:MR
1738:.
1728:40
1726:.
1722:.
1704:.
1696:.
1684:.
1680:.
1643:MR
1637:.
1616:MR
1614:.
1604:12
1602:.
1598:.
1580:.
1576:.
1555:MR
1551:33
1549:.
1526:.
1520:MR
1518:.
1508:63
1506:.
1468:MR
1466:.
1454:.
1450:.
1432:.
1424:.
1412:.
1408:.
1388:MR
1386:.
1374:.
1370:.
1324:.
1316:.
1308:.
1296:.
1292:.
1269:.
1259:22
1257:.
1253:.
1230:.
1220:61
1218:.
1214:.
1191:.
1183:.
1173:20
1171:.
1167:.
1146:MR
1144:.
1132:.
1128:.
1116:^
1104:MR
1102:.
1090:.
1086:.
1074:^
1062:MR
1060:.
1048:.
1044:.
1032:^
995:.
989:MR
987:.
979:.
969:49
967:.
963:.
951:^
939:MR
937:.
925:.
921:.
907:^
898:.
890:.
884:MR
880:35
878:.
874:.
862:^
853:.
849:.
837:^
825:MR
823:.
811:.
807:.
795:^
781:.
771:19
769:.
765:.
719:.
711:.
701:46
699:.
695:.
683:^
652:^
638:.
630:.
622:.
612:29
610:.
606:.
567:^
354:.
236:,
164::
144:,
62:,
54:,
47:,
2780:.
2760::
2733:.
2713::
2686:.
2666::
2640:.
2601:.
2352:)
2336:(
1809:e
1802:t
1795:v
1754:.
1734::
1692::
1686:9
1649:.
1639:5
1622:.
1561:.
1534:.
1514::
1491:.
1474:.
1456:7
1414:6
1394:.
1376:6
1355:.
1332:.
1304::
1298:9
1277:.
1265::
1238:.
1226::
1199:.
1179::
1152:.
1134:8
1110:.
1092:8
1068:.
1050:8
1026:.
1003:.
975::
945:.
927:6
831:.
813:7
789:.
777::
750:.
727:.
707::
677:.
646:.
618::
591:.
449:.
160:(
105:)
101:(
66:)
39:)
35:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.