Harris Family of Discrete Distributions

2005/06/12 by E Sandhya, E. Sandhya, S Sherly +6 · 1 citation
Computer Science · Decision Sciences · Mathematics · #60E05 #60E07 #60F05 #62E10 #62H12 #Advanced Statistical Process Monitoring #Bayesian Methods and Mixture Models #FOS: Mathematics #Probability (math.PR) #Statistical Distribution Estimation and Applications #Statistics Theory (math.ST) #math.PR #math.ST #msc:60E05 #msc:60E07 #msc:60F05 #msc:62E10 #msc:62H12 #stat.TH

paper · pdf · doi:10.48550/arxiv.math/0506220

18 pages, submitted

arxiv created 2005/06/12 · openalex publication_date 2005/06/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we discuss the basic properties of a discrete distribution introduced by Harris in 1948 and obtain a characterization of it. The divisibility properties of the distribution are also studied. We derive the moment and maximum likelihood estimators for both the parameters and verify them by simulated observations.

Cited by

• Characterizations of the Extended Geometric, Harris, Negative Binomial and Gamma Distributions

Related

• On a General Class of Discrete Bivariate Distributions
• Quasi-infinite divisibility of a class of distributions with discrete part
• Discrete Teissier distribution: properties, estimation and application
• Partly Divisible Probability Distributions
• Exponentiated Discrete Lindley Distribution: Properties and Applications