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

• Authors: Ahmad Aijaz , S. Qurat ul Ain , Ahmad Afaq , Rajnee Tripathi

Abstracts

EN

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 areabiased 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

EN

compound technique; Poisson distribution; area-biased Ailamujia distribution; reliability analysis; order statistics; maximum likelihood estimator

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2022
• Volume: 23
• Issue: 3
• Pages: 167-184

Dates

published

2022

Contributors

author

Ahmad Aijaz

• Department of Mathematics, Bhagwant University, Ajmer, Rajasthan, India

author

S. Qurat ul Ain

• Department of Mathematics, Bhagwant University, Ajmer, Rajasthan, India

author

Ahmad Afaq

• Department of Mathematical Sciences, Islamic University of Science & Technology, Awantipora, Kashmir

author

Rajnee Tripathi

• Department of Mathematics, Bhagwant University, Ajmer, Rajasthan, India

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Identifiers

DOI

10.2478/stattrans-2022-036

Biblioteka Nauki

2108223