Author | Chung, Kai Lai. author |
---|---|

Title | Elementary Probability Theory with Stochastic Processes [electronic resource] / by Kai Lai Chung |

Imprint | New York, NY : Springer New York : Imprint: Springer, 1974 |

Connect to | http://dx.doi.org/10.1007/978-1-4757-3973-2 |

Descript | X, 325 p. 9 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 centrat 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 dassie treatise (see [Feiler I]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 Ievels, sometimes even before calculus. The present textbook is intended for a course at about the sophomore Ievel. 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 -- General References -- Answers to Problems

Mathematics
Economics Mathematical
Statistics
Mathematics
Quantitative Finance
Statistical Theory and Methods