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This book is devoted to the study of discrete q-distributions defined on the stochastic model of a sequence of independent Bernoulli trials. The mathematical prerequisites are modest, and the author introduces the necessary basic q-sequences and q-functions in an effort to make the book self-contained. Chapter 1 introduces the notions of a q-power, a q-factorial, and a q-binomial coefficient of a real number. Chapter 2 addresses discrete q-distributions with success probability at a trial varying geometrically with the number of previous trials. Chapter 3 is devoted to the study of discrete q-distributions with success probability varying geometrically with the number of previous successes. In Chapter 4, a stochastic model of a sequence of independent Bernoulli trials with success probability varying geometrically both with the number of trials and the number of successes in a specific manner is discussed. A collection of exercises that vary in levels of fiddiculty is provided at the end of each chapter. In addition, hints and answers to the exercises are included in an appendix.
Number of Pages: 245
Sub-Genre: Probability + Statistics / General
Publisher: John Wiley & Sons Inc
Author: Charalambos A. Charalambides
Street Date: March 7, 2016
Item Number (DPCI): 248-12-2464