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On Zero-Truncated Quasi Poisson-Lindley Distribution and Its Applications

Rama Shanker, Kamlesh Kumar Shukla

Abstract



A zero-truncated quasi Poisson-Lindley distribution (ZTQPLD), of which zero-truncated Poisson-Lindley distribution (ZTPLD) is a particular case, has been obtained by compounding size-biased Poisson distribution (SBPD) with a continuous distribution. The th factorial moment of ZTQPLD have been derived and hence its raw moments and central moments have been given. The expressions for coefficient of variation, skewness, kurtosis, and index of dispersion have been obtained and their nature and behavior have been discussed. The method of maximum likelihood estimation has been discussed for estimating the parameters of ZTQPLD. Finally, the goodness of fit of ZTQPLD has been discussed with some data sets and the fit has been compared with zero – truncated Poisson distribution (ZTPD) and zero- truncated Poisson- Lindley distribution (ZTPLD).

Keywords


Zero-truncated distribution, Quasi Poisson-Lindley distribution, compounding, moments,

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