Artikel

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

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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.

Sprache
Englisch

Erschienen in
Journal: Statistics in Transition new series (SiTns) ; ISSN: 2450-0291 ; Volume: 23 ; Year: 2022 ; Issue: 3 ; Pages: 167-184 ; Warsaw: Sciendo

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

Ereignis
Geistige Schöpfung
(wer)
Aijaz, Ahmad
Ul Ain, S. Qurat
Afaq, Ahmad
Tripathi, Rajnee
Ereignis
Veröffentlichung
(wer)
Sciendo
(wo)
Warsaw
(wann)
2022

DOI
doi:10.2478/stattrans-2022-0036
Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

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Objekttyp

  • Artikel

Beteiligte

  • Aijaz, Ahmad
  • Ul Ain, S. Qurat
  • Afaq, Ahmad
  • Tripathi, Rajnee
  • Sciendo

Entstanden

  • 2022

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