{"product_id":"9783031437151","title":"Synthesis Lectures on Mathematics \u0026 Statistics","description":"\u003ch1\u003eSynthesis Lectures on Mathematics \u0026amp; Statistics\u003c\/h1\u003e \u003ch2\u003eCharalambides, Charalambos A.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\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\u003cp\u003e\u003c\/p\u003e\n\n\u003cp\u003e\u003c\/p\u003e\n\n\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2024-11-23\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031437151\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-43713-7\u003c\/p\u003e \u003cp\u003eDimensions: 240cm x168cm\u003c\/p\u003e \u003cp\u003ePages: 127\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":44809886466188,"sku":"9783031437151","price":40.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031437151.jpg?v=1776055764","url":"https:\/\/lateknightbooks.com\/products\/9783031437151","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}