The Theory of Probability and the Elements of Statistics

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American Mathematical Soc., 2005 - Science - 529 pages
This classic book is intended to be the first introduction to probability and statistics written with an emphasis on the analytic approach to the problems discussed. Topics of this book include the axiomatic setup of probability theory, polynomial distribution, finite Markov chains, distribution functions and convolution, the laws of large numbers (weak and strong), characteristic functions, the central limit theorem, infinitely divisible distributions, and Markov processes. Written in a clear and concise style, this book by Gnedenko can serve as a textbook for undergraduate and graduate courses in probability.
 

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Contents

I
15
II
21
III
88
IV
135
V
155
VI
201
VII
236
VIII
266
IX
302
X
319
XI
341
XII
400
XIII
441
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