A Simple Discrete-Weighted Exponential Distribution and Applications

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Chadarat Tapan

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A discrete distribution has been widely used for count data. This study aimed to present a simple discrete-weighted exponential distribution and some statistical properties, such as the cumulative distribution function, probability generating function, expected, variance, moment generating function, survival function, index of dispersion and coefficient of variation. The method of estimation of the parameters was maximum likelihood estimation. Furthermore, the simple discrete-weighted exponential distribution was applied and compared to other distributions on over-dispersion data sets. The results indicated that the simple discrete-weighted exponential distribution could be used as an alternative to over-dispersion data.

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