Poisson area-biased Ailamujia Distribution and its applications in environmental and medical sciences

Aijaz Ahmad (), Ain S. Qurat Ul, Afaq Ahmad and Tripathi Rajnee
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Aijaz Ahmad: Department of Mathematics, Bhagwant University, Ajmer, Rajasthan, India .
Ain S. Qurat Ul: Department of Mathematics, Bhagwant University, Ajmer, Rajasthan, India .
Afaq Ahmad: Department of Mathematical Sciences, Islamic University of Science & Technology, Awantipora, Kashmir .
Tripathi Rajnee: Department of Mathematics, Bhagwant University, Ajmer, Rajasthan, India .

Statistics in Transition New Series, 2022, vol. 23, issue 3, 167-184

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.

Keywords: compound technique; Poisson distribution; area-biased Ailamujia distribution; reliability analysis; order statistics; maximum likelihood estimator; 60E05; 62E15 (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:23:y:2022:i:3:p:167-184:n:2

DOI: 10.2478/stattrans-2022-0036

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