Elementary Probability Theory with Stochastic Processes [electronic resource] /
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, 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 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.
Main Authors: | Chung, Kai Lai. author., SpringerLink (Online service) |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
New York, NY : Springer New York : Imprint: Springer,
1974
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Subjects: | Mathematics., Economics, Mathematical., Statistics., Quantitative Finance., Statistical Theory and Methods., |
Online Access: | http://dx.doi.org/10.1007/978-1-4757-3973-2 |
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