Mathematical Methods of Statistics

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Princeton University Press, 12 avr. 1999 - 575 pages
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In this classic of statistical mathematical theory, Harald Cramér joins the two major lines of development in the field: while British and American statisticians were developing the science of statistical inference, French and Russian probabilitists transformed the classical calculus of probability into a rigorous and pure mathematical theory. The result of Cramér's work is a masterly exposition of the mathematical methods of modern statistics that set the standard that others have since sought to follow.


For anyone with a working knowledge of undergraduate mathematics the book is self contained. The first part is an introduction to the fundamental concept of a distribution and of integration with respect to a distribution. The second part contains the general theory of random variables and probability distributions while the third is devoted to the theory of sampling, statistical estimation, and tests of significance.

 

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Table des matières

II
3
IV
10
V
15
VI
19
VIII
33
IX
48
X
62
XI
76
XXX
260
XXXII
291
XXXIII
301
XXXIV
310
XXXV
317
XXXVI
321
XXXVII
323
XXXIX
332

XIII
85
XIV
89
XVI
103
XVII
122
XVIII
135
XX
137
XXII
151
XXIII
166
XXV
192
XXVI
208
XXVII
233
XXVIII
244
XXIX
255
XL
341
XLII
363
XLIII
378
XLIV
416
XLVI
452
XLVII
473
XLIX
497
L
507
LI
525
LIII
536
LIV
548
Droits d'auteur

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Mathematical Methods of Statistics
Harald Cramér
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Expressions et termes fréquents

according additive apply approximately assume asymptotically belonging bounded calculated called characteristic coefficient consider consists constant contains continuous converges correlation corresponding curve defined definition denote determined deviation difference elements equal equation estimate event exists experiment expression fact finite follows frequency function further given gives holds hypothesis important independent integral interval introduced joint known limit linear mass matrix mean measure method moments normal distribution observed obtain paragraph parameters particular population positive possible preceding probability problem properties proved quantity random variable regarded regression relation replaced respect result Riemann integral sample satisfied seen sequence shown shows simple space square statistical sufficient Suppose Table tends theorem theory tion transformation true unknown values variance write zero

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À propos de l'auteur (1999)

Harald Cramér was Professor of Actuarial Mathematics and Mathematical Statistics, and director of the Institute of Mathematical Statistics at the University of Stockholm.

Informations bibliographiques

QR code for Mathematical Methods of Statistics
TitreMathematical Methods of Statistics
Volume 43 de Princeton Landmarks in Mathematics and Physics
Volume 79 de Princeton Mathematical Series, ISSN 0079-5194
Princeton landmarks in mathematics
AuteurHarald Cramér
Éditionréimprimée, révisée
ÉditeurPrinceton University Press, 1999
ISBN0691005478, 9780691005478
Longueur575 pages
  
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