74:
53:
257:
163:
142:
173:
1257:"The fact that these models incorporate uncertainty in their conceptualization doesn't mean that the phenomenon - the forest, the aquifer, the mineral deposit - has resulted from a random process, but solely allows to build a methodological basis for the spatial inference of quantities in unobserved locations and to the quantification of the uncertainty associated with the estimator."
22:
665:
1341:
Both the capitalised 'Kriging' and non-capitalised 'kriging' words are found in the literature, however I have found the non-capitalisation instance more widespread in primary publications. Therefore it seems appropriate to restore this to what the article had pre-March 2016. Feel free to jump in and
1302:
Adams, B.M., Bauman, L.E., Bohnhoff, W.J., Dalbey, K.R., Ebeida, M.S., Eddy, J.P., Eldred, M.S., Hough, P.D., Hu, K.T., Jakeman, J.D., Swiler, L.P., and Vigil, D.M., "DAKOTA, A Multilevel
Parallel Object-Oriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and
1366:
It is not appropriate to redirect
Gaussian Process Regression (GPR) to Kriging. When the random field is stationary Gaussian, Kriging and GPR have similarities, but Kriging (OK and its variants) is in general builts on the top of intrinsically stationary random fields (not Gaussian random fields).
1294:
I think the explanation given in the Dakota User Manual version 6, chapter 8.4.3.5 is a bit better than the wiki article's. For instance equation 8.20 in the user manual is insightful from the background of function approximation. This wiki article lacks anything as clear and simple as the
1447:
First, the tack-on is unclear whether it references Krige or his thesis. Second, is "pioneering plotter of" merely an elegant variation of the staid "which considers the"? If so, I prescribe woodshed, bullet, gun, hasty grave. I think "pioneering" is already implied here. —
1492:
We need to add a pronunciation of this word as I have heard in the industry three different pronunciations. Danie G. Krige was South
African. So, Krige is pronounced Kreeg-a, Therefore, the correct pronunciation for Kriging is Kreeg-ing not Kryg-ing nor Kry-jing.
382:
In section "Geostatistical estimator" prior to the first set of equations of the section, the article says: "the correlation between two random variables solely depends on the spatial distance...", and then proceeds to introduce several expressions in terms of
1577:
The proof that in simple kriging the sum of weights equals 1 is wrong. It implicitly assumes that the means are non zero. If the means are zero, the equation can't be divided by it. I'm not a professional so I don't know what the right thing to do is.
476:
1260:
This sentence, while admirably attempting to explain the concept in simple
English, adds nothing pertinent; in my opinion, it adds confusion. The idea that something results from a random process or not is ambiguous, given the
124:
1507:
Remove this sentence "The
English verb is to krige and the most common noun is kriging; both are often pronounced with a hard "g", following an Anglicized pronunciation of the name "Krige"."
1117:
848:
1234:
983:
1050:
781:
448:
952:
879:
921:
1626:
1183:
1157:
1137:
899:
696:
468:
660:{\displaystyle C(\mathbf {h} )={\frac {1}{N(\mathbf {h} )}}\sum _{i=1}^{N(\mathbf {h} )}\left(Z(x_{i})Z(x_{i}+\mathbf {h} )\right)-m(x_{i})m(x_{i}+\mathbf {h} )}
1606:
1477:
114:
1439:
The theoretical basis for the method was developed by the French mathematician
Georges Matheron in 1960, based on the Master's thesis of Danie G. Krige,
1621:
1611:
232:
222:
1631:
1373:
1330:
This article says, "The first step in geostatistical modulation is to create a random process that best describes the set of observed data."
90:
1601:
1579:
1616:
1310:
81:
58:
1268:
1423:
353:
198:
189:
147:
1514:) in first line after first instance of kriging. (Please note that I'm not an expert on IPA but I think this is correct)
1272:
33:
1473:
300:
1469:
330:
This means that, when the samples are farther away from {\displaystyle x_{0}}x_{0}, the estimation becomes worse.
279:
1521:), the pronunciation of the process named after him should be consistent with the pronunciation of his name. -
1055:
786:
338:
This means that, the farther the samples are away from {\displaystyle x_{0}}x_{0}, the worse the estimation.
1583:
319:
This means that, when the samples are farther away from {\displaystyle x_{0}}x_{0}, the worse the estimation.
706:
1518:
1511:
1374:
https://www.researchgate.net/post/Why_should_data_follow_normal_distribution_for_ordinary_kriging_analysis
1188:
957:
270:
988:
719:
386:
1419:
1314:
1262:
1243:
368:
349:
39:
702:
73:
52:
1465:
1411:
1306:
1303:
Sensitivity
Analysis: Version 5.4 User's Manual," Sandia Technical Report SAND2014-4633, July 2014.
341:
926:
853:
21:
1415:
1276:
364:
345:
89:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
1280:
904:
716:
I second this opinion. This section is confusing in several places as it doesn't define symbols.
285:
470:
refers to correlation. Going further with the explanation, however, one finds that the formula:
1563:
1545:
1526:
1350:
197:
resource. If you would like to participate, you can choose to edit this article, or visit the
1265:
678:. Though both concepts are related, but since there is no explanation as to what the symbol
281:
256:
1443:
distance-weighted average gold grades at the
Witwatersrand reef complex in South Africa.
1162:
1497:
178:
1142:
1122:
884:
681:
453:
1595:
1333:
What does "modulation" here mean? Is this supposed to say "geostatistical modeling"?
1239:
193:, an attempt at creating a standardized, informative, comprehensive and easy-to-use
1559:
1541:
1522:
1345:
172:
162:
141:
1449:
675:
671:
168:
86:
985:
are said to be variograms and co-variograms, but these are not the same as
901:
is supposed to be a constant, the number of samples, and not a function of
698:
means, this section is confusing to someone novel in the matter as me.
194:
1296:
1540:
I plan to update the pronunciation to /kri:gɪŋ/ which is KREE-ging -
1537:
1295:
explanation given in the user manual. The manual is available from
283:
1587:
1567:
1549:
1530:
1481:
1452:
1427:
1356:
1318:
1284:
1247:
710:
372:
357:
286:
250:
15:
1408:
5. Application (potentially with R/ArcGIS/Python modules)
1139:
cannot be the covariance since a few equations later,
1555:
1191:
1165:
1145:
1125:
1058:
991:
960:
929:
907:
887:
856:
789:
722:
684:
479:
456:
389:
378:
Geostatistical estimator: correlation or covariance?
85:, a collaborative effort to improve the coverage of
1290:Kriging for use in interpolation needs improvement
1228:
1177:
1151:
1131:
1111:
1044:
977:
946:
915:
893:
873:
842:
775:
690:
659:
462:
442:
670:is more related to the covariance, as defined in
1370:can look at D. Myers' responds on researchgate
1500:, Krige (ˈkriχə). (2 syllables like Kreeg-a).
294:This page has archives. Sections older than
8:
1558:has the IPA pronunciation as /ˌˈkɹiːɡɪŋ/ -
1462:Article needs to be rewritten for clarity.
1378:Also a suggestion regarding the structure:
1463:
1409:
1253:Explanation of the use of random processes
1112:{\displaystyle \gamma (Z(x_{1}),Z(x_{2}))}
843:{\displaystyle \gamma (Z(x_{1}),Z(x_{2}))}
339:
136:
47:
1214:
1190:
1164:
1144:
1124:
1097:
1075:
1057:
1030:
1008:
990:
967:
959:
936:
928:
908:
906:
886:
863:
855:
828:
806:
788:
761:
739:
721:
683:
649:
640:
621:
595:
586:
567:
542:
535:
524:
509:
497:
486:
478:
455:
428:
406:
388:
1573:Sum of weights equals one proof is wrong
1362:Kriging v.s. Gaussian Process Regression
1627:Mid-importance C-Class Geology articles
1517:Add footnote: To honor Danie G. Krige (
304:when more than 10 sections are present.
138:
49:
19:
1402:3.3 Hybrid (regression-K, Bayesian K)
1229:{\displaystyle Var(\epsilon (x_{0}))}
978:{\displaystyle \gamma (\mathbf {h} )}
7:
1045:{\displaystyle C(Z(x_{1}),Z(x_{2}))}
776:{\displaystyle C(Z(x_{1}),Z(x_{2}))}
443:{\displaystyle C(Z(x_{1}),Z(x_{2}))}
79:This article is within the scope of
1607:High-importance Statistics articles
1396:3.1 OK (with SK as a special case)
1297:http://dakota.sandia.gov/index.html
38:It is of interest to the following
14:
1556:https://en.wiktionary.org/kriging
1458:Convoluted, inaccessible language
298:may be automatically archived by
1538:https://languagehat.com/kriging/
968:
937:
909:
864:
650:
596:
543:
510:
487:
255:
171:
161:
140:
99:Knowledge:WikiProject Statistics
72:
51:
20:
1622:Mid-importance Geology articles
1612:WikiProject Statistics articles
947:{\displaystyle C(\mathbf {h} )}
874:{\displaystyle N(\mathbf {h} )}
227:This article has been rated as
119:This article has been rated as
102:Template:WikiProject Statistics
1399:3.2 Variants (UK, CoK, DK/IK)
1299:, and may be cited similar to
1223:
1220:
1207:
1201:
1106:
1103:
1090:
1081:
1068:
1062:
1039:
1036:
1023:
1014:
1001:
995:
972:
964:
941:
933:
868:
860:
837:
834:
821:
812:
799:
793:
770:
767:
754:
745:
732:
726:
654:
633:
627:
614:
600:
579:
573:
560:
547:
539:
514:
506:
491:
483:
437:
434:
421:
412:
399:
393:
311:Unclear phrasing of a sentence
1:
711:05:53, 28 November 2013 (UTC)
450:, giving the impression that
207:Knowledge:WikiProject Geology
93:and see a list of open tasks.
1632:WikiProject Geology articles
1550:15:11, 24 October 2022 (UTC)
1428:17:24, 19 October 2018 (UTC)
1357:21:49, 11 January 2017 (UTC)
1159:appears at the same time as
916:{\displaystyle \mathbf {h} }
210:Template:WikiProject Geology
1602:C-Class Statistics articles
1536:Based on the discussion at
1387:2.1 Intrinsic Stationarity
1648:
1319:02:21, 8 August 2014 (UTC)
1285:17:31, 26 March 2014 (UTC)
233:project's importance scale
1588:15:58, 25 June 2022 (UTC)
1568:20:21, 20 June 2023 (UTC)
1482:16:05, 16 June 2019 (UTC)
1441:the pioneering plotter of
1342:discuss more, if needed.
373:19:52, 19 June 2020 (UTC)
358:19:50, 19 June 2020 (UTC)
226:
156:
118:
67:
46:
1617:C-Class Geology articles
1531:13:23, 13 May 2021 (UTC)
1453:21:05, 30 May 2019 (UTC)
1248:15:50, 9 May 2017 (UTC)
323:sounds a bit strange.
1470:Archimedes of Syracuse
1445:
1230:
1185:(in the expression of
1179:
1153:
1133:
1113:
1046:
979:
948:
917:
895:
875:
844:
777:
692:
661:
551:
464:
444:
301:Lowercase sigmabot III
82:WikiProject Statistics
28:This article is rated
1437:
1231:
1180:
1154:
1134:
1114:
1047:
980:
949:
918:
896:
876:
845:
778:
693:
662:
520:
465:
445:
326:It should be either:
315:I think the sentence
201:for more information.
1189:
1163:
1143:
1123:
1056:
989:
958:
927:
905:
885:
854:
787:
720:
682:
477:
454:
387:
1510:Add pronunciation (
1178:{\displaystyle Cov}
190:WikiProject Geology
105:Statistics articles
1434:Pioneering plotter
1390:2.2 Spatial BLUP
1325:modulation --: -->
1226:
1175:
1149:
1129:
1109:
1042:
975:
944:
913:
891:
871:
840:
773:
688:
657:
460:
440:
34:content assessment
1484:
1468:comment added by
1430:
1414:comment added by
1309:comment added by
1152:{\displaystyle C}
1132:{\displaystyle C}
894:{\displaystyle N}
691:{\displaystyle C}
518:
463:{\displaystyle C}
360:
344:comment added by
308:
307:
247:
246:
243:
242:
239:
238:
135:
134:
131:
130:
1639:
1520:
1513:
1355:
1353:
1348:
1321:
1235:
1233:
1232:
1227:
1219:
1218:
1184:
1182:
1181:
1176:
1158:
1156:
1155:
1150:
1138:
1136:
1135:
1130:
1118:
1116:
1115:
1110:
1102:
1101:
1080:
1079:
1051:
1049:
1048:
1043:
1035:
1034:
1013:
1012:
984:
982:
981:
976:
971:
953:
951:
950:
945:
940:
922:
920:
919:
914:
912:
900:
898:
897:
892:
880:
878:
877:
872:
867:
849:
847:
846:
841:
833:
832:
811:
810:
783:is not defined,
782:
780:
779:
774:
766:
765:
744:
743:
697:
695:
694:
689:
666:
664:
663:
658:
653:
645:
644:
626:
625:
607:
603:
599:
591:
590:
572:
571:
550:
546:
534:
519:
517:
513:
498:
490:
469:
467:
466:
461:
449:
447:
446:
441:
433:
432:
411:
410:
303:
287:
259:
251:
215:
214:
213:Geology articles
211:
208:
205:
181:
176:
175:
165:
158:
157:
152:
144:
137:
125:importance scale
107:
106:
103:
100:
97:
76:
69:
68:
63:
55:
48:
31:
25:
24:
16:
1647:
1646:
1642:
1641:
1640:
1638:
1637:
1636:
1592:
1591:
1575:
1490:
1460:
1436:
1405:4. Proprieties
1364:
1351:
1346:
1343:
1339:
1328:
1304:
1292:
1255:
1210:
1187:
1186:
1161:
1160:
1141:
1140:
1121:
1120:
1093:
1071:
1054:
1053:
1026:
1004:
987:
986:
956:
955:
925:
924:
903:
902:
883:
882:
852:
851:
824:
802:
785:
784:
757:
735:
718:
717:
680:
679:
636:
617:
582:
563:
556:
552:
502:
475:
474:
452:
451:
424:
402:
385:
384:
380:
313:
299:
288:
282:
264:
212:
209:
206:
203:
202:
177:
170:
150:
121:High-importance
104:
101:
98:
95:
94:
62:High‑importance
61:
32:on Knowledge's
29:
12:
11:
5:
1645:
1643:
1635:
1634:
1629:
1624:
1619:
1614:
1609:
1604:
1594:
1593:
1574:
1571:
1534:
1533:
1515:
1508:
1498:Danie G. Krige
1489:
1486:
1459:
1456:
1435:
1432:
1381:1. Background
1363:
1360:
1338:
1337:Capitalisation
1335:
1327:
1323:
1291:
1288:
1254:
1251:
1225:
1222:
1217:
1213:
1209:
1206:
1203:
1200:
1197:
1194:
1174:
1171:
1168:
1148:
1128:
1108:
1105:
1100:
1096:
1092:
1089:
1086:
1083:
1078:
1074:
1070:
1067:
1064:
1061:
1041:
1038:
1033:
1029:
1025:
1022:
1019:
1016:
1011:
1007:
1003:
1000:
997:
994:
974:
970:
966:
963:
943:
939:
935:
932:
911:
890:
870:
866:
862:
859:
839:
836:
831:
827:
823:
820:
817:
814:
809:
805:
801:
798:
795:
792:
772:
769:
764:
760:
756:
753:
750:
747:
742:
738:
734:
731:
728:
725:
715:
687:
668:
667:
656:
652:
648:
643:
639:
635:
632:
629:
624:
620:
616:
613:
610:
606:
602:
598:
594:
589:
585:
581:
578:
575:
570:
566:
562:
559:
555:
549:
545:
541:
538:
533:
530:
527:
523:
516:
512:
508:
505:
501:
496:
493:
489:
485:
482:
459:
439:
436:
431:
427:
423:
420:
417:
414:
409:
405:
401:
398:
395:
392:
379:
376:
362:
361:
332:
331:
321:
320:
312:
309:
306:
305:
293:
290:
289:
284:
280:
278:
275:
274:
266:
265:
260:
254:
245:
244:
241:
240:
237:
236:
229:Mid-importance
225:
219:
218:
216:
183:
182:
179:Geology portal
166:
154:
153:
151:Mid‑importance
145:
133:
132:
129:
128:
117:
111:
110:
108:
91:the discussion
77:
65:
64:
56:
44:
43:
37:
26:
13:
10:
9:
6:
4:
3:
2:
1644:
1633:
1630:
1628:
1625:
1623:
1620:
1618:
1615:
1613:
1610:
1608:
1605:
1603:
1600:
1599:
1597:
1590:
1589:
1585:
1581:
1580:46.123.253.62
1572:
1570:
1569:
1565:
1561:
1557:
1552:
1551:
1547:
1543:
1539:
1532:
1528:
1524:
1516:
1509:
1506:
1505:
1504:
1501:
1499:
1494:
1488:Pronunciation
1487:
1485:
1483:
1479:
1475:
1471:
1467:
1457:
1455:
1454:
1451:
1444:
1442:
1433:
1431:
1429:
1425:
1421:
1417:
1413:
1406:
1403:
1400:
1397:
1394:
1393:3. Algorithm
1391:
1388:
1385:
1382:
1379:
1376:
1375:
1371:
1368:
1361:
1359:
1358:
1354:
1349:
1336:
1334:
1331:
1324:
1322:
1320:
1316:
1312:
1308:
1300:
1298:
1289:
1287:
1286:
1282:
1278:
1274:
1270:
1267:
1264:
1258:
1252:
1250:
1249:
1245:
1241:
1237:
1215:
1211:
1204:
1198:
1195:
1192:
1172:
1169:
1166:
1146:
1126:
1098:
1094:
1087:
1084:
1076:
1072:
1065:
1059:
1031:
1027:
1020:
1017:
1009:
1005:
998:
992:
961:
930:
888:
857:
829:
825:
818:
815:
807:
803:
796:
790:
762:
758:
751:
748:
740:
736:
729:
723:
713:
712:
708:
704:
699:
685:
677:
673:
646:
641:
637:
630:
622:
618:
611:
608:
604:
592:
587:
583:
576:
568:
564:
557:
553:
536:
531:
528:
525:
521:
503:
499:
494:
480:
473:
472:
471:
457:
429:
425:
418:
415:
407:
403:
396:
390:
377:
375:
374:
370:
366:
359:
355:
351:
347:
343:
337:
336:
335:
329:
328:
327:
324:
318:
317:
316:
310:
302:
297:
292:
291:
277:
276:
273:
272:
268:
267:
263:
258:
253:
252:
249:
234:
230:
224:
221:
220:
217:
200:
196:
192:
191:
186:
180:
174:
169:
167:
164:
160:
159:
155:
149:
146:
143:
139:
126:
122:
116:
113:
112:
109:
92:
88:
84:
83:
78:
75:
71:
70:
66:
60:
57:
54:
50:
45:
41:
35:
27:
23:
18:
17:
1576:
1553:
1535:
1502:
1495:
1491:
1464:— Preceding
1461:
1446:
1440:
1438:
1410:— Preceding
1407:
1404:
1401:
1398:
1395:
1392:
1389:
1386:
1383:
1380:
1377:
1372:
1369:
1365:
1340:
1332:
1329:
1305:— Preceding
1301:
1293:
1259:
1256:
1238:
714:
700:
669:
381:
363:
340:— Preceding
333:
325:
322:
314:
295:
269:
261:
248:
228:
199:project page
188:
185:Talk:Kriging
184:
120:
80:
40:WikiProjects
1554:Wiktionary
1311:67.1.255.84
1269:definitions
703:JulioSergio
676:Correlation
187:is part of
1596:Categories
1384:2. Theory
1273:randomness
674:, than to
672:Covariance
96:Statistics
87:statistics
59:Statistics
1503:Proposal
1326:modeling?
1266:different
881:neither (
850:neither,
1512:ˈkriχ:ɪŋ
1478:contribs
1466:unsigned
1424:contribs
1416:Kyle YKS
1412:unsigned
1307:unsigned
1277:Surement
1240:Nbonneel
1119:. Also,
365:Lehnekbn
354:contribs
346:Lehnekbn
342:unsigned
296:365 days
262:Archives
1560:Mrdvt92
1542:Mrdvt92
1523:Mrdvt92
231:on the
204:Geology
195:geology
148:Geology
123:on the
30:C-class
1519:ˈkriχə
1450:MaxEnt
36:scale.
1496:From
1584:talk
1564:talk
1546:talk
1527:talk
1474:talk
1420:talk
1315:talk
1281:talk
1263:many
1244:talk
1052:and
954:and
707:talk
369:talk
350:talk
334:or:
115:High
1271:of
1236:).
923:).
223:Mid
1598::
1586:)
1566:)
1548:)
1529:)
1480:)
1476:•
1426:)
1422:•
1317:)
1283:)
1275:.
1246:)
1205:ϵ
1060:γ
962:γ
791:γ
709:)
701:--
609:−
522:∑
371:)
356:)
352:•
1582:(
1562:(
1544:(
1525:(
1472:(
1418:(
1352:t
1347:m
1344:+
1313:(
1279:(
1242:(
1224:)
1221:)
1216:0
1212:x
1208:(
1202:(
1199:r
1196:a
1193:V
1173:v
1170:o
1167:C
1147:C
1127:C
1107:)
1104:)
1099:2
1095:x
1091:(
1088:Z
1085:,
1082:)
1077:1
1073:x
1069:(
1066:Z
1063:(
1040:)
1037:)
1032:2
1028:x
1024:(
1021:Z
1018:,
1015:)
1010:1
1006:x
1002:(
999:Z
996:(
993:C
973:)
969:h
965:(
942:)
938:h
934:(
931:C
910:h
889:N
869:)
865:h
861:(
858:N
838:)
835:)
830:2
826:x
822:(
819:Z
816:,
813:)
808:1
804:x
800:(
797:Z
794:(
771:)
768:)
763:2
759:x
755:(
752:Z
749:,
746:)
741:1
737:x
733:(
730:Z
727:(
724:C
705:(
686:C
655:)
651:h
647:+
642:i
638:x
634:(
631:m
628:)
623:i
619:x
615:(
612:m
605:)
601:)
597:h
593:+
588:i
584:x
580:(
577:Z
574:)
569:i
565:x
561:(
558:Z
554:(
548:)
544:h
540:(
537:N
532:1
529:=
526:i
515:)
511:h
507:(
504:N
500:1
495:=
492:)
488:h
484:(
481:C
458:C
438:)
435:)
430:2
426:x
422:(
419:Z
416:,
413:)
408:1
404:x
400:(
397:Z
394:(
391:C
367:(
348:(
271:1
235:.
127:.
42::
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.