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J V Uspensky

Introduction to mathematical probability /J V Uspensky - New York; London, McGraw-Hill Book Company, Inc. , 1937. - ix, 411 pages ;24 cm

Computation of probability by direct enumeration of cases --
Theorems of total and compound probability --
Repeated trials --
Probabilities of hypotheses and Bayes' theorem --
Use of difference equations in solving problems of probability --
Bernoulli's theorem --
Approximate evaluation of probabilities in Bernoullian case --
Further considerations on games of chance --
Mathematical expectation --
The law of large numbers --
Application of the law of large numbers --
Probabilities in continuum --
The general concept of distribution --
Fundamental limit theorems --
Normal distribution in two dimensions. Limit theorem for sums of independent vectors. Origin of normal correlation --
Distribution of certain functions of normally distributed variables --
Appendix I. Euler's summation formula--Stirling's formula--some definite integrals --
Appendix II. Method of moments and its applications --
Appendix III. On a Gaussian problem.

Publisher. No.: Donated by Mathematics Department

Subjects--Topical Terms:
Mathematics

Index Terms--Genre/Form:
;Probabilities

Dewey Class. No.: 519 USP