On the Exponentiated Weibull Rayleigh Distribution
Abstract
A new four-parameter probability model, referred to the exponentiated Weibull Rayleigh (EWR) distribution, is introduced. Essential statistical properties of the distribution are considered. The maximum likelihood estimators of population parameters are given in case of complete sample. Simulation study is carried out to estimate the model parameters of EWR distribution. Additionally, parameter estimators are given in case of Type II censored samples. We come up with two applications to confirm the usefulness of the proposed distribution.
Keywords
References
- M. Elgarhy, M., M.A. Haq, and G. Ozel, (2017). A New Exponentiated Extended Family of Distributions with Applications, Gazi University Journal of Sceince, accepted.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Authors
Mohammed Elgarhy
Egypt
Publication Date
September 1, 2019
Submission Date
May 25, 2017
Acceptance Date
September 25, 2018
Published in Issue
Year 2019 Volume: 32 Number: 3
Cited By
A New Extension of the Exponentiated Weibull Model Mathematical Properties and Modelling
Journal of Function Spaces
https://doi.org/10.1155/2022/4669412Bivariate Chen Distribution Based on Copula Function: Properties and Application of Diabetic Nephropathy
Journal of Statistical Theory and Practice
https://doi.org/10.1007/s42519-022-00275-7A new generalized rayleigh distribution with analysis to big data of an online community
Alexandria Engineering Journal
https://doi.org/10.1016/j.aej.2022.05.010Modelling and Interpreting of Exponentiated Stretched Exponential Distribution
Gazi University Journal of Science
https://doi.org/10.35378/gujs.886208Bayesian and non-Bayesian analysis with MCMC algorithm of stress-strength for a new two parameters lifetime model with applications
AIP Advances
https://doi.org/10.1063/5.0167295Statistical properties and applications of the modified beta weibull family of distributions to engineering data
Journal of Intelligent & Fuzzy Systems
https://doi.org/10.3233/JIFS-223042دراسة خصائص توزيع تشن رايلي مع التطبيق
Tikrit Journal of Administrative and Economic Sciences
https://doi.org/10.25130/tjaes.19.64.2.32An extended Rayleigh Weibull Model with Actuarial Measures and Applications
Heliyon
https://doi.org/10.1016/j.heliyon.2024.e32143Advanced Statistical Modeling of Agricultural Potato Data Using a Novel Compound Distribution
Potato Research
https://doi.org/10.1007/s11540-025-09865-xModeling Economics and Finance Data with the Arctan Marshall-Olkin Weibull Distribution
Annals of Data Science
https://doi.org/10.1007/s40745-025-00610-2Estimation and statistical properties of the Weibull–Rayleigh model with applications to industrial data
Alexandria Engineering Journal
https://doi.org/10.1016/j.aej.2025.05.001Bayesian and Non-Bayesian Inference for the Trigonometric Extended Rayleigh-Weibull Model Under Progressively Censored Data
IEEE Access
https://doi.org/10.1109/ACCESS.2025.3582851Weighted Rayleigh Weibull distribution: Theory and applications to radiation and engineering data
Journal of Radiation Research and Applied Sciences
https://doi.org/10.1016/j.jrras.2025.101796Gumbel-Exponentiated Weibull {Logistic} Lifetime Distribution and Its Applications
Open Journal of Statistics
https://doi.org/10.4236/ojs.2021.115048A New Hybrid Weibull–Exponentiated Rayleigh Distribution: Theory, Asymmetry Properties, and Applications
Symmetry
https://doi.org/10.3390/sym18020264