Canonical expansion of a mixed bivariate distribution with negative binomial and gamma marginals

DOI10.1016/0016-0032(79)90002-4zbMath0405.62012OpenAlexW2063987040WikidataQ127242085 ScholiaQ127242085MaRDI QIDQ1257302

K. Appert

Publication date: 1979

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(79)90002-4

zbMATH Keywords

Canonical ExpansionGamma MarginalsLaguerre PolynomialsMeixner Orthogonal PolynomialsMixed Bivariate DistributionNegative Binomial

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Exact distribution theory in statistics (62E15) Distribution theory (60E99)

Related Items (4)

The bivariate non-central negative binomial distributions ⋮ Some notes on the non-central negative binomial distribution ⋮ Probability distribution and a self-reciprocal relation involving confluent hypergeometric functions ⋮ Random deletion model and Rainville's generating function for the Laguerre polynomials

Cites Work

• Group-theoretic origin of certain generating functions
• Generalized Rayleigh processes
• The Structure of Bivariate Distributions
• The Non-Central Negative Binomial Distribution
• The non-central chi-squared and beta distributions
• A stochastic process whose successive intervals between events form a first order Markov chain — I
• Generating Functions for Bessel and Related Polynomials
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