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Poisson - Sushila Distribution and Its Applications

Munindra Borah, Junali Hazarika

Abstract



In the present paper a discrete Poisson-Sushila distribution (PSD), of which the Sankaran (1970) discrete Poisson-Lindley distribution (PLD) is a particular case, has been obtained by compounding Poisson distribution with the Sushila distribution of Shanker et al. (2013). The probability generating function and the first four moments of this distribution has been obtained. The quantile function, skewness, kurtosis, index of dispersion and the coefficient of variation of the distribution has been derived. The estimation of its parameters using the method of maximum likelihood and the method of moments has also been discussed. Poisson- Janardan distribution (PJD) and Poisson- Sushila distribution (PSD) have been fitted to some well-known data-sets for the comparison of its goodness of fit. The results of fitting have been presented for four real lifetime data sets.

Keywords


Poisson-Lindley distribution, Sushila distribution, moments, skewness, kurtosis, quantile Lambert W- function, estimation of parameters, goodness of fit.

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