• A COMPARATIVE STUDY ON ZERO-TRUNCATED GENERALIZED  POISSON-LINDLEY AND ZERO-TRUNCATED POISSON-LINDLEY DISTRIBUTIONS

SAMUEL ADEWALE ADEROJU*; EMMANUEL TEJU JOLAYEMI; ABDULWASIU OPEYEMI IBRAHIM

• A COMPARATIVE STUDY ON ZERO-TRUNCATED GENERALIZED POISSON-LINDLEY AND ZERO-TRUNCATED POISSON-LINDLEY DISTRIBUTIONS

SAMUEL ADEWALE ADEROJU*, EMMANUEL TEJU JOLAYEMI, ABDULWASIU OPEYEMI IBRAHIM

Abstract

In this paper, the zero-truncated generalized Poisson-Lindley (ZTGPL) distribution has been proposed and its properties studied. The maximum likelihood method is used to obtain the estimators of its parameters through R-software. The comparative study with zero-truncated Poisson (ZTP) and zero-truncated Poisson-Lindley (ZTPL) distributions is done with two datasets. The proposed distribution is characterized by two parameters and flexible to account for both over- and under-dispersion in structurally non-zero count data. The statistic (chi square) is used to check its goodness-of-fit.

Keywords

Generalized Poisson-Lindley distribution; goodness of fit; Poisson distribution; Poisson-Lindley distribution; Zero-Truncated distribution.

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