A stochastic model of area-biased Kpenadidum distribution with the characteristics and applications to real-lifetime data

R. Poovitha; P. Pandiyan

doi:10.2478/jamsi-2025-0003

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A stochastic model of area-biased Kpenadidum distribution with the characteristics and applications to real-lifetime data

Journal of Applied Mathematics, Statistics and Informatics

Volume 21 (2025): Issue 1 (May 2025)

By: R. Poovitha and P. Pandiyan

Open Access

|Jun 2025

Abstract

In this present research, we explore the statistical characteristics of the Area-Biased Kpenadidum Distribution (ABKD), a novel probability model. The maximum likelihood method has been used to estimate the parameters, and the asymptotic findings have been explained. The new distribution was compared to the Shanker, Lindley, and Kpenadidum distributions. When the distribution was fitted to cancer data, a good fit was observed.

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Articles in this issue

DOI: https://doi.org/10.2478/jamsi-2025-0003 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 35 - 53

Published on: Jun 4, 2025

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Kpenadidum distribution,

Area-Biased distribution,

Reliability analysis,

Ordered statistics,

Maximum likelihood estimation,

and Breast cancer

Related subjects:

Computer sciences,

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2025 R. Poovitha, P. Pandiyan, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 21 (2025): Issue 1 (May 2025)