A New Discrete Distribution Related to Generalized Gamma Distribution and Its Properties

作者：Chakraborty Subrata^*

来源：Communications in Statistics - Theory and Methods, 2015, 44(8): 1691-1705.

DOI：10.1080/03610926.2013.781635

• Discrete gamma distribution
• Discrete half-normal distribution
• Discrete lognormal distribution
• Discrete Maxwell-Boltzmann distribution
• Discrete generalized Rayleigh distribution
• Discrete Weibull distribution
• Likelihood ratio test
• AIC

In this article, a new discrete distribution related to the generalized gamma distribution (Stacy, 1962) is derived from a statistical mechanical setup. This new distribution can be seen as generalization of two-parameter discrete gamma distribution (Chakraborty and Chakravarty, 2012) and encompasses discrete version of many important continuous distributions. Some basic distributional and reliability properties, parameter estimation by different methods, and their comparative performances using simulation are investigated. Two-real life data sets are considered for data modeling and likelihood ratio test for illustrating the advantages of the proposed distribution over two-parameter discrete gamma distribution.

• 出版日期2015