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001 978-3-031-43713-7
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020 _a9783031437137
_9978-3-031-43713-7
024 7 _a10.1007/978-3-031-43713-7
_2doi
050 4 _aQA297.4
072 7 _aPBD
_2bicssc
072 7 _aMAT008000
_2bisacsh
072 7 _aPBD
_2thema
100 1 _aCharalambides, Charalambos A.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_967425
245 1 0 _aMultivariate Discrete q-Distributions
_h[electronic resource] /
_cby Charalambos A. Charalambides.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXI, 127 p. 2 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
505 0 _aPreface -- Multivariate q-Combinatorics and q-Hypergeometric Series -- Multivariate q-Distributions -- Appendix: Hints and Answers to Exercises -- Bibliography -- Index.
520 _aThis 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 q-distributions. Furthermore, q-multinomial and negative q-multinomial formulae are obtained. Next, the book addresses q-multinomial and negative q-multinomial distributions of the first and second kind.The author also examines multiple q-Polya urn model, multivariate q-Polya and inverse q-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.
650 0 _aDiscrete mathematics.
650 0 _aProbabilities.
_965724
650 0 _aMathematics.
_965523
650 0 _aDistribution (Probability theory).
_967426
650 1 4 _aDiscrete Mathematics.
650 2 4 _aApplications of Discrete Mathematics.
_967427
650 2 4 _aProbability Theory.
_967428
650 2 4 _aApplied Probability.
_965727
650 2 4 _aApplications of Mathematics.
_965529
650 2 4 _aDistribution Theory.
_967429
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031437120
776 0 8 _iPrinted edition:
_z9783031437144
776 0 8 _iPrinted edition:
_z9783031437151
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
856 4 0 _uhttps://doi.org/10.1007/978-3-031-43713-7
912 _aZDB-2-SXSC
999 _c56601
_d56601