Weighted negative binomial distribution: properties and applications
Year: 2025
Type: article
Abstract: Here we consider a weighted version of the negative binomial distribution and illustrate its usefulness through fitting Covid-19 datasets. We obtain several important properties of the distribution such as probability generating function, cumulative distribution function, survival and hazard rate functions, as well as expressions for factorial and raw moments, and recurrence relations for probabilities. Further we discuss the estimation of the parameters of the model and constructed certain test procedures for examining the significance of the parameter. A simulation study is carried out for assessing the performance of the estimators of the parameters of the model obtained through the method of maximum likelihood.
Source: Journal of Applied Statistics
Authors: C. Satheesh Kumar, Prince Sathyan
Institution: University of Kerala
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4409711185