Abstract

Characterization of Zero-inflated Gamma Distribution

G. Nanjundan and Sadiq Pasha

Department of Statistics, Bangalore University, Bangalore 560 056, INDIA.

DOI : http://dx.doi.org/10.29055/jcms/932

ABSTRACT

Distributions are useful to model random phenomena. New random experiments are conducted and new data sets are encountered. In turn, new distributions emerge. Zero-inflated discrete models are such examples and they are useful in various situations. Further, they have also been characterized [see Nanjundan and Sadiq Pasha (2018)]. Zero-inflated continuous distributions are discussed in the context of insurance portfolio. Zero-inflated gamma distribution is characterized in this paper through a differential equation satisfied by its moment generating function.

Keywords :Zero-inflated discrete distributions, zero-inflated gamma distribution, moment generating function, linear differential equation.

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