Abstract
Discrete distributions provide a substantive contribution in modeling real world frame work. Though a lot of discrete distributions are available in literature, they are inappropriate to model many practical situations. The conventional discrete distributions like geometric, Negative Binomial and Poisson have limited applications in modeling count and lifetime data. This paper introduces a new two parameter discrete distribution namely, discrete hypoexponential distribution by discretizing the well known hypoexponential distribution. Various distributional and structural properties of the proposed distribution are studied. We introduce a first order auto regressive process with the newly proposed distribution as marginal and study the properties. Depending on the various parametric values, the distribution can model, over and under dispersed data. We estimate the parameters of the distribution using non linear maximization (nlm) method. To illustrate the credibility of the proposed model a real data analysis is also performed.
Recommended Citation
Krishnakumari, K. and George, Dais
(2024).
(R2095) On Discrete Hypoexponential Distribution and Integer-valued Autoregressive Process,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
1, Article 6.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss1/6