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Elementary probability theory with stochastic processes.

Author: Kai Lai Chung
Publisher: New York, Springer-Verlag [1974]
Series: Undergraduate texts in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
In the past half-century the theory of probability has grown from a minor isolated theme into a broad and intensive discipline interacting with many other branches of mathematics. At the same time it is playing a central role in the mathematization of various applied sciences such as statistics, opera tions research, biology, economics and psychology-to name a few to which the prefix "mathematical" has so far been  Read more...
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Additional Physical Format: Print version:
Chung, Kai Lai, 1917-2009.
Elementary probability theory with stochastic processes.
New York, Springer-Verlag [1974]
(DLC) 73021210
(OCoLC)1029487
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Kai Lai Chung
ISBN: 9781475751147 1475751141 9781475751161 1475751168
OCLC Number: 680242490
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (x, 325 pages) illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: 1: Set --
2: Probability --
3: Counting --
4: Random Variables --
5: Conditioning and Independence --
6: Mean, Variance and Transforms --
7: Poisson and Normal Distributions --
8: From Random Walks to Markov Chains --
Appendix 3: Martingale --
General References --
Answers to Problems.
Series Title: Undergraduate texts in mathematics.

Abstract:

In the past half-century the theory of probability has grown from a minor isolated theme into a broad and intensive discipline interacting with many other branches of mathematics. At the same time it is playing a central role in the mathematization of various applied sciences such as statistics, opera tions research, biology, economics and psychology-to name a few to which the prefix "mathematical" has so far been firmly attached. The coming-of-age of probability has been reflected in the change of contents of textbooks on the subject. In the old days most of these books showed a visible split personality torn between the combinatorial games of chance and the so-called "theory of errors" centering in the normal distribution. This period ended with the appearance of Feller's classic treatise (see [Feller l]t) in 1950, from the manuscript of which I gave my first substantial course in probability. With the passage of time probability theory and its applications have won a place in the college curriculum as a mathematical discipline essential to many fields of study. The elements of the theory are now given at different levels, sometimes even before calculus. The present textbook is intended for a course at about the sophomore level. It presupposes no prior acquaintance with the subject and the first three chapters can be read largely without the benefit of calculus.

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