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Anglický jazyk
Multivariate Discrete q-Distributions
Autor: Charalambos A. Charalambides
This book is devoted to the study of multivariate discrete q-distributions, which is greatly facilitated by existing multivariate q-sequences and q-functions. Classical multivariate discrete distributions are defined on a sequence of independent and identically... Viac o knihe
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O knihe
This book is devoted to the study of multivariate discrete q-distributions, which is greatly facilitated by existing multivariate q-sequences and q-functions. Classical multivariate discrete distributions are defined on a sequence of independent and identically distributed Bernoulli trials, with either being a success of a certain rank (level) or a failure. The author relaxes the assumption that the probability of success of a trial is constant by assuming that it varies geometrically with the number of trials and/or the number of successes. The latter is advantageous in the sense that it permits incorporating the experience gained from the previous trials and/or successes, which leads to multivariate discrete q-distributions. Furthermore, q-multinomial and negative q-multinomial formulae are obtained. Next, the book addresses q-multinomial and negative q-multinomial distributions of the first and second kind.The author also examines multiple q-Polya urn model, multivariate q-Polya and inverse q-Polya distributions.
- Presents definitions and theorems that highlight key concepts and worked examples to illustrate the various applications
- Contains numerous exercises at varying levels of difficulty that consolidate the presented concepts and results
- Includes hints and answers to all exercises via the appendix and is supplemented with an Instructor's Solution Manual
- Vydavateľstvo: Springer Nature Switzerland
- Rok vydania: 2024
- Formát: Paperback
- Rozmer: 240 x 168 mm
- Jazyk: Anglický jazyk
- ISBN: 9783031437151
