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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 -distributions. Furthermore, -multinomial and negative -multinomial formulae are obtained. Next, the book addresses -multinomial and negative -multinomial distributions of the first and second kind. The author also examines multiple -Polya urn model, multivariate -Polya and inverse -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
Produkteigenschaften
- Artikelnummer: 9783031437120
- Medium: Buch
- ISBN: 978-3-031-43712-0
- Verlag: Springer Nature Switzerland
- Erscheinungstermin: 23.11.2023
- Sprache(n): Englisch
- Auflage: 1. Auflage 2024
- Serie: Synthesis Lectures on Mathematics & Statistics
- Produktform: Gebunden
- Gewicht: 424 g
- Seiten: 127
- Format (B x H x T): 173 x 246 x 14 mm
- Ausgabetyp: Kein, Unbekannt