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Charalambides

Multivariate Discrete q-Distributions

Medium: Buch
ISBN: 978-3-031-43712-0
Verlag: Springer Nature Switzerland
Erscheinungstermin: 23.11.2023
Lieferfrist: bis zu 10 Tage

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
Autoren/Hrsg.

Autoren

Preface.- Multivariate -Combinatorics and -Hypergeometric Series.- Multivariate -Distributions.- Appendix: Hints and Answers to Exercises.- Bibliography.- Index.