On Making an Informed Choice between Two Lomax-based Continuous Probability Distributions Using Lifetime Data
Terna Godfrey Ieren, Samuel Oluwafemi OYAMAKIN, Abubakar Yahaya, Angela Unna Chukwu, Adamu Abubakar Umar, Samson Kuje
Asian Journal of Probability and Statistics · pp. 1–11 · Published 31 Dec 2018
10.9734/ajpas/2018/v2i228780Abstract
Probability distributions and their generalisations have contributed greatly in the modeling and analysis of random variables. However, due to the increased introduction of new distributions there has been a major problem with choosing and applying the right distribution for a given set of data. In most cases, it is discovered that the data set in question fits two or more probability distributions and hence one must be chosen among others. The Lomax-Weibull and Lomax-Log-Logistic distributions introduced in an earlier study using a Lomax-based generator were found to be positively skewed and may be victims of this situation especially when modelling positively skewed datasets. In this article, we apply the two distributions to some selected datasets to compare their performance and provide useful insight on how to select the most fit among them when dealing with a real-life situation. We used the log-likelihood value, AIC, CAIC, BIC, HQIC, Cramér-Von Mises (W*) and Anderson Darling (A*) statistics as performance evaluation tools for selecting between the two distributions.
Cited by 15
Innocent Boyle Eraikhuemen, Terna Godfrey Ieren, Tajan Mashingil Mabur, Mohammed Sa’ad, Samson Kuje, Adana’a Felix Chama · Asian Research Journal of Mathematics · 2019
Abdul-Aziz Adam Kobilla, Suleman Nasiru · Asian Journal of Probability and Statistics · 2022
Wararit Panichkitkosolkul, Mohammad Mastak Al Amin, Andrei Volodin · Lobachevskii Journal of Mathematics · 2025
Innocent Boyle Eraikhuemen, Julian Ibezimako Mbegbu, Friday Ewere · Earthline Journal of Mathematical Sciences · 2020
Tabassum Naz Sindhu, Andaç Batur Çolak, Showkat Ahmad Lone · Tribology International · 2024
Terna Godfrey Ieren, Oluwafemi Samson Balogun, Angela Chukwu · 2021
Muhammad Saqib, Ahmed Zogo Memon · Scientific African · 2025
Mohamed Mubarak, Fathy H. Riad · Research in Statistics · 2025
Showing 8 of 15 known citations — external sources report more than can currently be individually listed.
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