000 01526nam a22002057a 4500
999 _c56274
_d56274
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008 200121b ||||| |||| 00| 0 eng d
028 _aDonated by Mathematics Department
082 _a519 USP
100 _aJ V Uspensky
245 _aIntroduction to mathematical probability
_c/J V Uspensky
260 _aNew York; London,
_bMcGraw-Hill Book Company, Inc.
_c, 1937.
300 _aix, 411 pages
_c;24 cm
365 _b00
505 _aComputation 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.
650 _aMathematics
655 _a;Probabilities
700 _aJ V Uspensky
942 _cMDL