Characterizations involving \(U|(U+V=m)\) for certain discrete distributions

DOI10.1016/S0378-3758(02)00296-3zbMath1008.62014WikidataQ115438335 ScholiaQ115438335MaRDI QIDQ1866247

Adrienne W. Kemp

Publication date: 3 April 2003

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

basic hypergeometric seriesCauchy functional equationq-seriesabsorption distributionEuler distributionHeine distributionq-Laguerre polynomialsgeneralized Stieltjes-Wigert polynomialsWall polynomialsgeneralized Rogers-Szegoe polynomialsq-binomial distributionq-negative binomial distributionq-Poisson distribution

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10)

Related Items

Convergence properties of Kemp's \(q\)-binomial distribution, Discrete \(q\)-distributions on Bernoulli trials with a geometrically varying success probability

Cites Work

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• On the generalized Euler distribution
• Heine-euler extensions of the poisson distribution
• Certain state-dependent processes for dichotomised parasite populations
• Oil exploration: sequential decisions in the face of uncertainty
• The absorption distribution and the_q-binomial theorem
• Steady-state Markov chain models for the Heine and Euler distributions
• Absorption sampling and the absorption distribution
• The q-deformed binomial distribution and its asymptotic behaviour