Discrete q-Distributions

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Charalambos A Charalambides (Author of Discrete Q-Distributions)

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A self-contained study of the various applications and developments of discrete distribution theory. Written by a well-known researcher in the field, Discrete q-Distributions features an organized presentation of discrete q -distributions based on the stochastic model of a sequence of independent Bernoulli trials.


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In an effort to keep the book self-contained, the author covers all of the necessary basic q -sequences and q -functions. The book begins with an introduction of the notions of a q -power, a q -factorial, and a q -binomial coefficient and proceeds to discuss the basic q -combinatorics and q -hypergeometric series.

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Next, the book addresses discrete q -distributions with success probability at a trial varying geometrically, with rate q , either with the number of previous trials or with the number of previous successes. Further, the book examines two interesting stochastic models with success probability at any trial varying geometrically both with the number of trials and the number of successes and presents local and global limit theorems.

Discrete q-Distributions / Edition 1

Share This Paper. Citations Publications citing this paper. Kyriakoussis , Malvina Vamvakari. Convergence properties of the q-deformed binomial distribution Martin Zeiner. The q-Bernstein basis as a q-binomial distribution Charalambos A. References Publications referenced by this paper.

Absorption sampling and the absorption distribution Adrienne W. Oil exploration: sequential decisions in the face of uncertainty Lakdere Benkherouf , J. Charalambos A.

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A self-contained study of the various applications and developments of discrete distribution theory. Written by a well-known researcher in the field, Discrete q-Distributions features an organized presentation of discrete q -distributions based on the stochastic model of a sequence of independent Bernoulli trials.

In an effort to keep the book self-contained, the author covers all of the necessary basic q -sequences and q -functions. The book begins with an introduction of the notions of a q -power, a q -factorial, and a q -binomial coefficient and proceeds to discuss the basic q -combinatorics and q -hypergeometric series.

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Next, the book addresses discrete q -distributions with success probability at a trial varying geometrically, with rate q , either with the number of previous trials or with the number of previous successes. Further, the book examines two interesting stochastic models with success probability at any trial varying geometrically both with the number of trials and the number of successes and presents local and global limit theorems.

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