Results 41 to 50 of about 164 (136)

The Epanechnikov–Aradhana Distribution: A Transformation‐Based Extension for Reliability and Lifetime Data Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces the Epanechnikov–Aradhana Distribution (EAD), a new one‐parameter lifetime distribution obtained by applying an Epanechnikov‐weighted transformation to the Aradhana baseline distribution. The proposed model preserves the polynomial–exponential structure of the classical Aradhana distribution while modifying its distributional ...
Sakhr A. S. Alotaibi, Nora Muda, Ahmad M. H. Al-khazaleh, Smritijit Sen   +3 more
wiley   +1 more source

A new generalization of Lehmann type-II distribution: Theory, simulation, and applications to survival and failure rate data

Scientific African, 2021
In this paper, a potentiated lifetime model that demonstrates the bathtub-shaped hazard rate function is developed. This proposed model is referred to as Kumaraswamy modified size-biased Lehmann Type-II (Kum–MSBL–II) distribution.
Oluwafemi Samson Balogun, Muhammad Zafar Iqbal, Muhammad Zeshan Arshad, Ahmed Z. Afify, Pelumi E. Oguntunde   +4 more
doaj   +1 more source

Comparative Analysis and Practical Applications of Cubic Transmutations for the Pareto Distribution

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
Transmutation is a technique for extending classical probability distributions in order to give them more flexibility. In this paper, we are interested in cubic transmutations of the Pareto distribution. We establish a general formula that unifies the three existing cubic transmuted Pareto (CTP) distributions and facilitates the derivation of three new
Edoh Katchekpele, Issa Cherif Geraldo, Tchilabalo Abozou Kpanzou, Marco Costa   +3 more
wiley   +1 more source

An Alternative Type II Claims Pareto Model for Reliability and Bimodal Risk Analysis: Copulas, Properties, Mathematical Modeling, and Actuarial Case Study

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This article aims to present a new type‐II claims Pareto extension for statistical reliability and actuarial analysis. The new probabilistic density can be simplified in terms of the baseline densities. Some new bivariate types were developed under some copula approaches.
Atef F. Hashem, Haitham M. Yousof, M. A. Abdelkawy, M. A. Abd Elgawad, Abdisalam Hassan Muse, Mohamed G. Khalil, Pramita Mishra   +6 more
wiley   +1 more source

Statistical inference and data analysis of the record-based transmuted Burr X model

Open Mathematics
Probability distribution has proven its usefulness in almost every discipline of human endeavors. A novel extension of Bur X distribution is developed in this study employing the record-based transmuted mapping technique, which can be used to fit skewed ...
Alrweili Hleil
doaj   +1 more source

Estimation of Power Lomax Distribution for Censored Data With Applications

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, power Lomax (PL) distribution parameters are estimated under an adaptive Type‐II progressive censoring scheme, utilizing both frequentist and Bayesian statistical estimations. The model parameters, reliability and hazard functions, and coefficient of variation are all determined using an iterative procedure in the frequentist estimation.
Abdelfattah Mustafa, Samah M. Ahmed, Nian-Sheng Tang   +2 more
wiley   +1 more source

Bayesian Estimation and Prediction of Inverse Power Lomax Model Under Censored Data With Applications

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study presents a comparative analysis of frequentist and Bayesian estimation techniques for the parameters of the inverse power Lomax distribution, employing an adaptive Type‐II progressive censoring approach. The maximum likelihood estimations (MLEs) and their corresponding asymptotic confidence intervals are derived.
Samah M. Ahmed, M. I. Khan, Abdelfattah Mustafa, Nian-Sheng Tang   +3 more
wiley   +1 more source

Copulas, stable tail dependence functions, and multivariate monotonicity

Dependence Modeling, 2019
For functions of several variables there exist many notions of monotonicity, three of them being characteristic for resp. distribution, survival and co-survival functions. In each case the “degree” of monotonicity is just the basic one of a whole scale.
Ressel Paul
doaj   +1 more source

Median‐Based Unit Weibull (MBUW): A New Variants of Generalized Method of Moments and Percentile Estimators

Journal of Probability and Statistics, Volume 2025, Issue 1, 2025.
This paper introduces a new two‐parameter unit Weibull distribution defined on the interval (0, 1). It discusses the methodology for deriving its probability density function (PDF), explores various properties, and presents related functions. Numerous figures illustrate the distribution and demonstrate its effectiveness in fitting a wide range of ...
Iman M. Attia, Hyungjun Cho
wiley   +1 more source

A note on bivariate Archimax copulas

Dependence Modeling, 2018
We present an analytical proof of the characterisation of bivariate Archimax copulas in terms of the properties of their generating functions.
Durante Fabrizio, Sánchez Juan Fernández, Sempi Carlo   +2 more
doaj   +1 more source