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The main aim of this paper is to introduce and study the notion of Size-biased discrete two-parameter Poisson-Lindley (SBDTPPL) distribution. Besides deriving its p.m.f., some of its properties and the expressions for raw and central moments, coefficients of skewness and kurtosis have been obtained. We have explored its moment equations and maximum likelihood estimators. A simulation study has been proposed in the end.

Size-biased discrete two parameter Poisson-Lindley Distribution for modeling and waiting survival times data