On a Bivariate Pólya-Aeppli Distribution

DOI10.1080/03610926.2012.709906zbMath1307.60006OpenAlexW2041369404MaRDI QIDQ5177601

Leda D. Minkova, Narayanaswamy Balakrishnan

Publication date: 13 March 2015

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2012.709906

zbMATH Keywords

probability generating functionmethod of momentsbivariate Poisson distributioncompound distributionsPólya-Aeppli distributiongeometric compoundingtrivariate reduction method

Mathematics Subject Classification ID

Applications of statistics to actuarial sciences and financial mathematics (62P05) Probability distributions: general theory (60E05)

Related Items (8)

Weighted Type II Bivariate Pólya-Aeppli Distributions ⋮ On multivariate modifications of Cramer–Lundberg risk model with constant intensities ⋮ Type II bivariate Pólya-Aeppli distribution ⋮ Inference for Type II bivariate Pólya–Aeppli distribution ⋮ Likelihood inference for Type I bivariate Pólya–Aeppli distribution ⋮ On a general class of discrete bivariate distributions ⋮ Multivariate analogs of classical univariate discrete distributions and their properties ⋮ A \textit{type-1 imbalanced bivariate Poisson distribution} demystifies patient's phobia visiting physician often and its implications

Cites Work

• The Pólya-Aeppli process and ruin problems
• The compound Poisson distribution and return times in dynamical systems
• A GENERALIZATION OF THE CLASSICAL DISCRETE DISTRIBUTIONS
• The Poisson Correlation Function
• Renewal theory in two dimensions: Basic results
• The structure of bivariate Poisson distribution
• Univariate Discrete Distributions
• Unnamed Item

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