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Charalambos A.
Multivariate Discrete q-Distributions
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4414740Multivariate Discrete q-Distributionshttps://www.gandhi.com.mx/multivariate-discrete-q-distributions-9783031437137/phttps://gandhi.vtexassets.com/arquivos/ids/4267234/image.jpg?v=638446579040170000779866MXNSpringer Nature SwitzerlandInStock/Ebooks/<p>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 <em>q</em>-distributions. Furthermore, <em>q</em>-multinomial and negative <em>q</em>-multinomial formulae are obtained. Next, the book addresses <em>q</em>-multinomial and negative <em>q</em>-multinomial distributions of the first and second kind. The author also examines multiple <em>q</em>-Polya urn model, multivariate <em>q</em>-Polya and inverse <em>q</em>-Polya distributions.</p><ul><li>Presents definitions and theorems that highlight key concepts and worked examples to illustrate the various applications</li><li>Contains numerous exercises at varying levels of difficulty that consolidate the presented concepts and results</li><li>Includes hints and answers to all exercises via the appendix and is supplemented with an Instructors Solution Manual</li></ul>...4320437Multivariate Discrete q-Distributions779866https://www.gandhi.com.mx/multivariate-discrete-q-distributions-9783031437137/phttps://gandhi.vtexassets.com/arquivos/ids/4267234/image.jpg?v=638446579040170000InStockMXN99999DIEbook20239783031437137_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_<p>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 <em>q</em>-distributions. Furthermore, <em>q</em>-multinomial and negative <em>q</em>-multinomial formulae are obtained. Next, the book addresses <em>q</em>-multinomial and negative <em>q</em>-multinomial distributions of the first and second kind. The author also examines multiple <em>q</em>-Polya urn model, multivariate <em>q</em>-Polya and inverse <em>q</em>-Polya distributions.</p><ul><li>Presents definitions and theorems that highlight key concepts and worked examples to illustrate the various applications</li><li>Contains numerous exercises at varying levels of difficulty that consolidate the presented concepts and results</li><li>Includes hints and answers to all exercises via the appendix and is supplemented with an Instructors Solution Manual</li></ul>...9783031437137_Springer Nature Switzerlandlibro_electonico_9783031437137_9783031437137Charalambos A.InglésMéxico2023-11-22T00:00:00+00:00Springer Nature Switzerland