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Full Description
This book is written for people who are interested to know the basics of probability theory. The basic knowledge of high school math will be enough to know the probability theory covered in the book. It covers basic theories of probability, statistical distributions, order statistics and record values, The use of characterization methods are described to identify various probability distributions. The book will be useful for undergraduate, graduate students and applied statisticians.
Contents
Introduction; Combinatorics; Random Variables; Generating and Characteristic Functions; Some Univariate Continuous Probability Distributions; Order Statistics from Minimum to Maximum; Record Values and Probability Theory of Records; Characterizations of Continuous Distributions by Independent Copies; Characterizations of Distributions by Order Statistics; Characterizations of Distributions by Record Values; Extreme Value Distributions; Random Filing of a Segment with Unit Intervals; Appendix; References; Index.
