Discrete distributions in the extended FGM family: the p.g.f. Approach

DOI10.1016/j.jspi.2009.05.033zbMath1171.60319OpenAlexW2042969942MaRDI QIDQ840751

Violetta E. Piperigou

Publication date: 14 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.jspi.2009.05.033

zbMATH Keywords

probability generating functionPoisson distributiongeometric distributionmultivariate distributionsnegative correlationdiscrete data fitdiscrete Farlie-Gumbel-Morgenstern familymarginal-conditional distribution

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Measures of association (correlation, canonical correlation, etc.) (62H20) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Exact distribution theory in statistics (62E15) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05)

Related Items (5)

Discrete analogues of continuous bivariate probability distributions ⋮ A bivariate geometric distribution allowing for positive or negative correlation ⋮ A bivariate count model with discrete Weibull margins ⋮ Flexible Bivariate INAR(1) Processes Using Copulas ⋮ On a Simple Construction of a Bivariate Probability Function With a Common Marginal

Cites Work

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• On some generalized farlie-gumbel-morgenstern distributions-II regression, correlation and further generalizations
• On a bivariate poisson distribution
• A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families
• New generalized Farlie-Gumbel-Morgenstern distributions and concomitants of order statistics

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