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AuthorChung, Kai Lai. author
TitleElementary Probability Theory with Stochastic Processes [electronic resource] / by Kai Lai Chung
ImprintNew York, NY : Springer New York : Imprint: Springer, 1975
Connect tohttp://dx.doi.org/10.1007/978-1-4757-5114-7
Descript X, 325 p. 49 illus. online resource

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, operaยญ 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 splitยญ 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


CONTENT

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


Mathematics Economics Mathematical Probabilities Mathematics Probability Theory and Stochastic Processes Quantitative Finance



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