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Modern Probability Theory and Its Applications

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Mathematical probability theory is especially interesting to scientists and engineers. It introduces probability theory, showing how probability problems can be formulated mathematically to systematically attack routine methods. Topics include independence and dependence, probability laws and random variables. Over 500 exercises, an appendix of useful tables and answers to odd-numbered questions are also included.

Author(s): Emanuel Parzen
Series: A Wiley publication in mathematical statistics
Publisher: Wiley
Year: 1960

Language: English
Pages: 480

I.- PROBABILITY THEORY AS THE STUDY OF MATHEMATICAL MODELS OF RANDOM PHENOMENA
II.- BASIC PROBABILITY THEORY
III.- INDEPENDENCE AND DEPENDENCE
IV.- NUMERICAL-VALUED RANDOM PHENOMENA
V.- MEAN AND VARIANCE OF A PROBABILITY LAW
VI.- NORMAL, POISSON, AND RELATED PROBABILITY LAWS
VII.- RANDOM VARIABLES
VIII.- EXPECTATION OF RANDOM VARIABLE
IX.- SUMS OF INDEPENDENT RANDOM VARIABLES
X.- SEQUENCES OF RANDOM VARIABLES