Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/266327 
Year of Publication: 
2022
Citation: 
[Journal:] Statistics in Transition new series (SiTns) [ISSN:] 2450-0291 [Volume:] 23 [Issue:] 3 [Publisher:] Sciendo [Place:] Warsaw [Year:] 2022 [Pages:] 167-184
Publisher: 
Sciendo, Warsaw
Abstract: 
In this paper, a new Poisson area-biased Ailamujia distribution has been formulated to analyse count data. It was created by combining two distributions: the Poisson and area-biased Ailamujia distributions, using the compounding technique. Several distributional properties of the formulated distribution were studied. Its ageing characteristics were determined and expressed explicitly. A variety of diagrams were used to demonstrate the characteristics of the probability mass function (pmf) and the cumulative distribution function (cdf). The parameter of the developed model was estimated by employing the maximum likelihood estimation approach. Finally, two data sets were used to demonstrate the effectiveness of the investigated distribution.
Subjects: 
compound technique
Poisson distribution
area-biased Ailamujia distribution
reliability analysis
order statistics
maximum likelihood estimator
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by-sa Logo
Document Type: 
Article

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