A Generalization to the Family of Discrete Distributions

• Activity Number: 142
• Type: Contributed
• Date/Time: Monday, August 10, 2015 : 8:30 AM to 10:20 AM
• Sponsor: Section on Statistical Computing
• Author(s): Abdullah Albalawi* and Mian Adnan and Tareq F. Khan
• Companies: Ball State University and Ball State University and Jahangirnagar University
• Keywords: Concentration ; Limiting Property ; Progression

Abstract

An alternative approaches for a couple of discrete distributions like Binomial and Multinomial, Poisson and Geometric, etc having more general form of sampling method (more than one outcome in one trial) compared to tradition sampling heuristics have been suggested and termed as Generalized Binomial, Generalized Multinomial, Generalized Poisson, Generalized Geometric, respectively. It is evident that the traditional existing distributions are the special cases of the proposed generalized distributions. The basic distributional properties of the proposed distributions have also been examined including the limiting form. Real life examples are cited for the respective distributions.