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An Under-Dispersed Discrete Distribution and Its Application |
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PP: 205-213 |
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doi:10.18576/jsapl/080306
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Author(s) |
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Brijesh P. Singh,
Gunjan Singh,
Utpal Dhar Das,
Deepak K. Maurya,
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Abstract |
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| Discrete distribution is normally used to study the count data but most of the time count data are not equi-dispersed but they are under dispersed or over dispersed. To model these type of data we need appropriate probability distributions. Some weighted or mixture distributions are used to analyse the under and over dispersed count data. In this paper, an attempt has been made to propose a new kind of Poisson distribution. Some statistical properties are derived such as probability generating function, moment generating function, characteristics function, cumulant generating function, moments, coefficient of variation, reoccurrence relation and index of dispersion. Parameters are estimated by the method of moments and maximum likelihood estimators. The proposed distribution is applied on real data sets to check the suitability of proposed distribution over some competent distribution. The proposed distribution is found a better choice than others.
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