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On the Discrete POISSON‐Inverse GAUSSian Distribution
Author(s) -
Shaban S. A.
Publication year - 1981
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710230309
Subject(s) - poisson distribution , negative binomial distribution , compound poisson distribution , inverse gaussian distribution , poisson binomial distribution , mathematics , normal inverse gaussian distribution , generalized inverse gaussian distribution , zero inflated model , inverse distribution , statistics , beta binomial distribution , count data , univariate distribution , gaussian , distribution (mathematics) , logarithmic distribution , inverse , binomial distribution , exponential distribution , probability distribution , mathematical analysis , poisson regression , gaussian random field , gaussian function , heavy tailed distribution , physics , population , sociology , geometry , quantum mechanics , demography
The discrete POISSON‐inverse GAUssian distribution is obtained by compounding the POISSON distribution with the inverse‐GAUssian distribution. The maximum likelihood of the parameter is discussed. Comparison with the POISSON, negative binomial, POISSON‐LINDLEY and the generalized WARING distribution when fitting a distribution to accident statistics data is given.