{"product_id":"multivariate-discrete-q-distributions-9783031437120","title":"Multivariate Discrete Q-Distributions","description":"\u003cp\u003e • Author(s): Charalambos A. Charalambides\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Discrete Mathematics\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003eThis 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 \u003cem\u003eq\u003c\/em\u003e-distributions. Furthermore, \u003cem\u003eq\u003c\/em\u003e-multinomial and negative \u003cem\u003eq\u003c\/em\u003e-multinomial formulae are obtained. Next, the book addresses \u003cem\u003eq\u003c\/em\u003e-multinomial and negative \u003cem\u003eq\u003c\/em\u003e-multinomial distributions of the first and second kind. The author also examines multiple \u003cem\u003eq\u003c\/em\u003e-Polya urn model, multivariate \u003cem\u003eq\u003c\/em\u003e-Polya and inverse \u003cem\u003eq\u003c\/em\u003e-Polya distributions. \u003cbr\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003ePresents definitions and theorems that highlight key concepts and worked examples to illustrate the various applications\u003c\/li\u003e\n\u003cli\u003eContains numerous exercises at varying levels of difficulty that consolidate the presented concepts and results\u003c\/li\u003e\n\u003cli\u003eIncludes hints and answers to all exercises via the appendix and is supplemented with an Instructor's Solution Manual\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45279074746519,"sku":"9783031437120","price":2907.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783031437120.webp?v=1769292624","url":"https:\/\/atlanticbooks.com\/products\/multivariate-discrete-q-distributions-9783031437120","provider":"Atlantic Books","version":"1.0","type":"link"}