Poisson area-biased Ailamujia Distribution and its applications in environmental and medical sciences
Ahmad Aijaz, S. Qurat ul Ain, Ahmad Afaq, Rajnee Tripathi
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.
Year of publication: |
2022
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Authors: | Aijaz, Ahmad ; Ul Ain, S. Qurat ; Afaq, Ahmad ; Tripathi, Rajnee |
Published in: |
Statistics in transition : an international journal of the Polish Statistical Association. - Warszawa : GUS, ISSN 2450-0291, ZDB-ID 2235641-1. - Vol. 23.2022, 3, p. 167-184
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Subject: | compound technique | Poisson distribution | area-biased Ailamujia distribution | reliability analysis | order statistics | maximum likelihood estimator | Statistische Verteilung | Statistical distribution | Wahrscheinlichkeitsrechnung | Probability theory | Maximum-Likelihood-Schätzung | Maximum likelihood estimation | Schätztheorie | Estimation theory |
Saved in:
freely available
Type of publication: | Article |
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Type of publication (narrower categories): | Aufsatz in Zeitschrift ; Article in journal |
Language: | English |
Other identifiers: | 10.2478/stattrans-2022-0036 [DOI] hdl:10419/266327 [Handle] |
Source: | ECONIS - Online Catalogue of the ZBW |
Persistent link: https://www.econbiz.de/10013428864
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