Results 41 to 50 of about 185 (77)

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

Application of Odd Lomax log-logistic distribution to cancer data

Heliyon
The effectiveness of the parental distribution is modified in this article by adding flexibility, allowing it to capture all characteristics of the provided real-world data sets.
Benson Benedicto Kailembo, Srinivasa Rao Gadde, Peter Josephat Kirigiti   +2 more
doaj   +1 more source

Bivariate Power Lindley Models Based on Copula Functions Under Type‐II Censored Samples With Applications in Industrial and Medical Data

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study introduces three innovative bivariate models to address complex dependencies between random variables in real‐world applications. Specifically, we develop bivariate power Lindley (BPL) distribution models utilizing the Gumbel, Frank, and Clayton copulas.
Ehab M. Almetwally, Aisha Fayomi, Maha E. Qura, Pramita Mishra   +3 more
wiley   +1 more source

A generalized Gompertz promotion time cure model and its fitness to cancer data

Heliyon
The cure models based on standard distributions like exponential, Weibull, lognormal, Gompertz, gamma, are often used to analyze survival data from cancer clinical trials with long-term survivors.
Ayesha Tahira, Muhammad Yameen Danish
doaj   +1 more source

Bayesian estimation on the exponentiated Gompertz distribution under type II censoring

, 2014
In this paper, Bayes estimates of the shape parameter, reliability and failure rate functions of the exponentiated Gompertz lifetime model are derived from complete and type II censored samples.
H. Abu-Zinadah
semanticscholar   +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

Efficient parameter estimation for the Poisson–Ailamujia distribution under ranked set and simple random sampling

Applied Mathematics in Science and Engineering
This study presents a comparative analysis of parameter estimation methods for the discrete Poisson–Ailamujia distribution, a model suitable for rare-event data that has received limited attention in the statistical literature, under both simple random ...
Tenzile Erbayram, Ibrahim Elbatal, Yunus Akdoğan, Ahmed Z. Afify   +3 more
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

Bayesian estimation for alpha power Weibull model under adaptive progressive censoring: a comparative study of Metropolis-Hastings and Hamiltonian Monte Carlo methods

Applied Mathematics in Science and Engineering
The alpha power Weibull distribution is a flexible generalization of the classical Weibull distribution that is capable of modeling a wide variety of data behaviors through its ability to accommodate multiple shapes of the hazard rate function.
Mazen Nassar, Refah Alotaibi
doaj   +1 more source

Admissibility in general linear model with respect to an inequality constraint under balanced loss

, 2014
Since Zellner (Bayesian and Non-Bayesian Estimation Using Balanced Loss Functions, pp. 377-390, 1994) proposed the balanced loss function, many researchers have been attracted to the field concerned.
Shang-Li Zhang, Wenhao Gui
semanticscholar   +1 more source