Poisson Area-Biased Ailamujia Distribution and Its Applications in Environmental and Medical Sciences

• Autorzy: Ahmad Aijaz , S. Qurat ul Ain , Ahmad Afaq , Rajnee Tripathi
• Języki publikacji: EN

Abstrakty

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. (original abstract)

Słowa kluczowe

EN

Poisson distribution; Maximum likelihood estimation; Statistical analysis

PL

Rozkład Poissona; Metoda największej wiarygodności; Analiza statystyczna

• Czasopismo: Statistics in Transition
• Rocznik: 2022
• Tom: 23
• Numer: nr 3
• Strony: 167--184

Twórcy

autor

Ahmad Aijaz

• Bhagwant University, Ajmer, Rajasthan, India

autor

S. Qurat ul Ain

• Bhagwant University, Ajmer, Rajasthan, India

autor

Ahmad Afaq

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

autor

Rajnee Tripathi

• Bhagwant University, Ajmer, Rajasthan, India

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Identyfikatory

DOI

10.2478/stattrans-2022-036