1. Poisson area-biased Ailamujia Distribution and its applications in environmental and medical sciences
- Author
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Aijaz, Ahmad, Ul Ain, S. Qurat, Afaq, Ahmad, and Tripathi, Rajnee
- Subjects
Statistics and Probability ,compound technique ,ddc:519 ,area-biased Ailamujia distribution ,order statistics ,Poisson distribution ,reliability analysis ,maximum likelihood estimator ,Statistics, Probability and Uncertainty - 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.
- Published
- 2022