By Charalambos A. Charalambides
A self-contained learn of a few of the purposes and advancements of discrete distribution theory
Written by way of a widely known researcher within the box, Discrete q-Distributions features an geared up presentation of discrete q-distributions in keeping with the stochastic version of a series of autonomous Bernoulli trials. so that it will maintain the e-book self-contained, the writer covers all the beneficial uncomplicated q-sequences and q-functions.
The e-book starts off with an creation of the notions of a q-power, a q-factorial, and a q-binomial coefficient and proceeds to debate the fundamental q-combinatorics and q-hypergeometric sequence. subsequent, the ebook addresses discrete q-distributions with luck chance at a tribulation various geometrically, with fee q, both with the variety of past trials or with the variety of prior successes. extra, the publication examines fascinating stochastic types with luck likelihood at any trial various geometrically either with the variety of trials and the variety of successes and offers neighborhood and international restrict theorems. Discrete q-Distributions also features:
- Discussions of the definitions and theorems that spotlight key strategies and results
- Several labored examples that illustrate the functions of the provided theory
- Numerous workouts at various degrees of hassle that consolidate the options and effects in addition to supplement, expand, or generalize the results
- Detailed tricks and solutions to all of the workouts in an appendix to aid less-experienced readers achieve a greater knowing of the content
- An up to date bibliography that comes with the most recent tendencies and advances within the box and offers a collective resource for additional research
- An Instructor’s strategies guide to be had on a better half website
A certain reference for researchers and practitioners in records, arithmetic, physics, engineering, and different technologies, Discrete q-Distributions is additionally a suitable textbook for graduate-level classes in discrete statistical distributions, distribution idea, and combinatorics.
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