A class of discrete distributions arising from difference of two random variables

DOI10.1016/j.csda.2007.04.009zbMath1452.62183OpenAlexW1984561837MaRDI QIDQ1023475

Choung Min Ng, Seng Huat Ong, Kunio Shimizu

Publication date: 12 June 2009

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2007.04.009

zbMATH Keywords

scorelikelihood ratioWald testsdistributional propertiespaired count datacomputation of probabilitiesPanjer familythinned process

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Parametric hypothesis testing (62F03) Characterization and structure theory of statistical distributions (62E10)

Related Items (8)

Reliability and non-reliability studies of Poisson variables in series and parallel systems ⋮ On some distributions arising from a generalized trivariate reduction scheme ⋮ A new skew integer valued time series process ⋮ An Extended Binomial Distribution with Applications ⋮ A new discrete probability distribution with integer support on (−∞, ∞) ⋮ A parametric time series model with covariates for integers in Z ⋮ A parametric study for the first-order signed integer-valued autoregressive process ⋮ Bivariate distributions on \(Z^2\)

Cites Work

• Some stochastic models leading to the convolution of two binomial variables
• A Discrete Charlier Series Distribution
• The Confluent Hypergeometric Function
• Laguerre Functions in the Mathematical Foundations of the Electromagnetic Theory of the Paraboloidal Reflector
• Estimation of \(P[X\leq Y\) in the negative binomial distribution]
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