首页|On estimation of the probability mass function and the cumulative distribution function of a natural discrete one parameter polynomial exponential distribution
On estimation of the probability mass function and the cumulative distribution function of a natural discrete one parameter polynomial exponential distribution
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NSTL
In this paper, a new natural discrete analog of the one parameter polynomial exponential (OPPE) distribution as a mixture of a number of negative binomial distributions has been proposed and is called as a natural discrete one parameter polynomial exponential (NDOPPE) distribution. This distribution is a generalized version of natural discrete Lindley (NDL) distribution, proposed and studied in literature. Maximum likelihood estimator (MLE) and uniformly minimum variance unbiased estimator (UMVUE) of the probability mass function (PMF) and the cumulative distribution function (CDF) of the NDOPPE distribution have been derived. The estimators have been compared with respect to their mean squared errors (MSEs). Simulation study has been conducted to verify the consistency of the estimators. Three real data illustrations have been reported.
NSTL
