International Journal of Statistics and Reliability Engineering

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Vol 7, No 1 :

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Zero-Truncated Version of New Three-Parameter Poisson-Lindley Distribution with Properties and Applications

Rama Shanker , Kamlesh Kumar Shukla

Abstract

In this paper zero-truncated version of new three-parameter Poisson-Lindley distribution which includes several one parameter and two-parameter zero-truncated distributions including zero-truncated geometric distribution (ZTGD), zero-truncated negative binomial distribution (ZTNBD), zero-truncated Poisson-Lindley distribution (ZTPLD), zero-truncated Poisson-Shanker distribution(ZTPSD), zero-truncated two-parameter Poisson-Lindley distribution-1 (ZTTPPLD-1), zero-truncated two-parameter Poisson-Lindley distribution-II (ZTTPPLD-II), zero-truncated quasi Poisson-Lindley distribution (ZTQPLD) and zero-truncated new quasi Poisson-Lindley distribution (ZTNQPLD) for particular values of parameters has been proposed. Its various statistical properties based on moments including coefficient of variation, skewness, kurtosis and index of dispersion have been studied. Maximum likelihood estimation has been discussed for estimating the parameters of the distribution. Goodness of fit of the proposed distribution has been discussed.

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ISSN(P) 2350-0174

ISSN(O) 2456-2378

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