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Introduction to mathematical probability /J V Uspensky

By: Contributor(s): Material type: TextTextPublisher number: Donated by Mathematics DepartmentPublication details: New York; London, McGraw-Hill Book Company, Inc. , 1937.Description: ix, 411 pages ;24 cmSubject(s): Genre/Form: DDC classification:
  • 519 USP
Contents:
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.
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Item type Current library Call number Status Barcode
Mathematics Departmental Library Mathematics Departmental Library Mathematics Departmental Library 519 USP (Browse shelf(Opens below)) Available M133
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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.

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