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Jarl Waldemar Lindeberg

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met Lindeberg in 1922. He later recalled this story about Lindeberg and the beautiful farm he owned. "When he was reproached for not being sufficiently active in his scientific work, he said 'Well, I am really a farmer.' And if somebody happened to say that his farm was not properly cultivated, his
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and at an early age showed mathematical talent and interest. The family was well off and later Jarl Waldemar would prefer to be a reader than a full professor. Lindeberg's career centred on the
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answer was 'Of course my real job is to be a professor.' I was very fond of him and saw him often during the following years."
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whose work he did not then know. However, their approaches were quite different; Lindeberg's was based on a
55: 47: 84: 67: 31: 88:. His work on probability led to him becoming involved in applied fields. He developed what we know as 407: 402: 93: 377: 101: 362: 100:, and when in 1926 determining the necessary number of transects to obtain a sufficiently precise 199: 154: 71: 366: 312: 256: 219: 283: 189: 146: 112: 240: 211: 82:. Two years later Lindeberg used his method to obtain a stronger result: the so-called 386: 248: 173: 158: 135:"Eine neue Herleitung des Exponentialgesetzes in der Wahrscheinlichkeitsrechnung" 334: 244: 120: 92:
and he found the first two moments of its sampling distribution. Lindeberg used
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Journal Électronique d'Histoire des Probabilités et de la Statistique
272:"Half a Century with Probability Theory: Some Personal Recollections" 134: 123:, who proved the central limit theorem in his dissertation in 1935. 335:"England and Continental Probability in the Inter-War Years" 378:
Tore Schweder: Early Statistics in the Nordic Countries
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ISI: Milestones of the history of statistics in Finland
70:. His result was similar to that obtained earlier by 216:The History of Mathematics in Finland 1828–1918 66:. In 1920 he published his first paper on the 8: 218:. Helsinki: Societas Scientarium Fennica. 287: 193: 255:. New York: Springer. pp. 318–321. 303: 178:"The Central Limit Theorem around 1935" 243:(2001). "Jarl Waldemar Lindeberg". In 42:Lindeberg was son of a teacher at the 7: 30:mathematician known for work on the 26:– 24 December 1932, Helsinki) was a 14: 78:argument while Lyapunov used the 119:Lindeberg's work was unknown to 104:, he seems to have rediscovered 44:Helsinki Polytechnical Institute 253:Statisticians of the Centuries 52:partial differential equations 50:. His early interests were in 1: 311:"Lindeberg, Jarl Waldemar". 127:Writing available on the web 58:but from 1920 he worked in 434: 367:Portraits of Statisticians 111:The Swedish mathematician 139:Mathematische Zeitschrift 133:Lindeberg, J. W. (1922). 418:Scientists from Helsinki 106:Student's t-distribution 363:Photograph of Lindeberg 270:Cramér, Harald (1976). 80:characteristic function 20:Jarl Waldemar Lindeberg 393:Finnish mathematicians 319:Who was Who in Finland 289:10.1214/aop/1176996025 56:calculus of variations 48:University of Helsinki 413:Probability theorists 398:Finnish statisticians 276:Annals of Probability 195:10.1214/ss/1177013818 94:line transect methods 68:central limit theorem 32:central limit theorem 16:Finnish mathematician 321:] (in Finnish). 182:Statistical Science 102:confidence interval 85:Lindeberg condition 151:10.1007/BF01494395 331:See Section 3 of 425: 350: 349: 339: 329: 323: 322: 308: 293: 291: 266: 229: 207: 197: 162: 22:(4 August 1876, 433: 432: 428: 427: 426: 424: 423: 422: 383: 382: 359: 354: 353: 337: 333:Aldrich, John. 332: 330: 326: 310: 309: 305: 300: 269: 263: 239: 236: 226: 212:Elfving, Gustav 210: 172: 169: 132: 129: 40: 17: 12: 11: 5: 431: 429: 421: 420: 415: 410: 405: 400: 395: 385: 384: 381: 380: 375: 370: 358: 357:External links 355: 352: 351: 324: 314:Kuka kukin oli 302: 301: 299: 296: 295: 294: 282:(4): 509–546. 267: 261: 235: 232: 231: 230: 224: 208: 168: 165: 164: 163: 145:(1): 211–225. 128: 125: 39: 36: 15: 13: 10: 9: 6: 4: 3: 2: 430: 419: 416: 414: 411: 409: 406: 404: 401: 399: 396: 394: 391: 390: 388: 379: 376: 374: 371: 368: 364: 361: 360: 356: 347: 343: 336: 328: 325: 320: 316: 315: 307: 304: 297: 290: 285: 281: 277: 273: 268: 264: 262:0-387-95283-7 258: 254: 250: 246: 242: 238: 237: 233: 227: 225:951-653-098-2 221: 217: 213: 209: 205: 201: 196: 191: 187: 183: 179: 175: 171: 170: 166: 160: 156: 152: 148: 144: 140: 136: 131: 130: 126: 124: 122: 117: 114: 113:Harald Cramér 109: 107: 103: 99: 95: 91: 87: 86: 81: 77: 73: 69: 65: 61: 57: 53: 49: 45: 38:Life and work 37: 35: 33: 29: 25: 21: 345: 341: 327: 318: 313: 306: 279: 275: 252: 245:Heyde, C. C. 215: 188:(1): 78–91. 185: 181: 142: 138: 118: 110: 83: 41: 19: 18: 408:1932 deaths 403:1876 births 241:Elfving, G. 121:Alan Turing 90:Kendall's τ 76:convolution 60:probability 387:Categories 348:(2): 1–24. 298:References 249:Seneta, E. 174:Le Cam, L. 167:Commentary 64:statistics 234:Biography 159:119730242 251:(eds.). 214:(1981). 176:(1986). 98:forestry 72:Lyapunov 54:and the 24:Helsinki 365:on the 204:2245503 28:Finnish 259:  222:  202:  157:  338:(PDF) 317:[ 200:JSTOR 155:S2CID 369:page 257:ISBN 220:ISBN 62:and 284:doi 190:doi 147:doi 96:in 389:: 344:. 340:. 278:. 274:. 247:; 198:. 184:. 180:. 153:. 143:15 141:. 137:. 108:. 34:. 346:5 292:. 286:: 280:4 265:. 228:. 206:. 192:: 186:1 161:. 149::

Index

Helsinki
Finnish
central limit theorem
Helsinki Polytechnical Institute
University of Helsinki
partial differential equations
calculus of variations
probability
statistics
central limit theorem
Lyapunov
convolution
characteristic function
Lindeberg condition
Kendall's τ
line transect methods
forestry
confidence interval
Student's t-distribution
Harald Cramér
Alan Turing
"Eine neue Herleitung des Exponentialgesetzes in der Wahrscheinlichkeitsrechnung"
doi
10.1007/BF01494395
S2CID
119730242
Le Cam, L.
"The Central Limit Theorem around 1935"
doi
10.1214/ss/1177013818

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