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20 results for “Weibull Distribution”
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Research ArticleOpen accessPhrase in the titleExponentiated Exponential Weibull Distribution: Mathematical Properties and ApplicationDawlah AlsulamiAn Exponentiated Exponential Weibull Distribution (EEWD) is proposed. Some statistical properties of the proposed distribution are studied. The Maximum Likelihood method (ML) is applied to estimate the model parameters. The efficiency of the ML estimates of the proposed model is demonstrated using a Monte Carlo simulation study with different samples sizes. Moreover, real data set application is provided to show … …American Journal of Applied Sciences, Vol. 17, Issue 1 · 4 Sep 2020 · 7,331 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleA New Inverse Weibull Distribution: Properties and ApplicationsMona Mustafa Elbiely, Haitham M. YousofIn this work, we introduce a new flexible extension of the Inverse Weibull distribution. Some important mathematical properties of the proposed model are derived along with a numerical analysis of mean, variance, skewness and kurtosis measures of the proposed model. The performance of the maximum likelihood method is assesses via a comprehensive simulation studies in terms of mean squared errors. … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 25 Mar 2019 · 7,506 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleReliability Equivalence Factors of a Parallel System Subject to Weibull Distribution Using Multivariate FGM CopulaNeama Salah Youssef TemrazThis paper analyze a parallel system consisted of n dependent components with lifetimes follow Weibull distribution. FGM Copula in multivariate case is used to generate the reliability function of the original system. Reduction method is introduced to improve system reliability. Other methods of hot, cold and warm duplication are established to improve system reliability. An application using real time data … …American Journal of Applied Sciences, Vol. 15, Issue 1 · 3 Feb 2018 · 7,940 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleNew Bivariate Exponentiated Modified Weibull DistributionAbdelfattah Mustafa, Mohamed A.W. MahmoudThe new modified Weibull distribution named exponentiated modified Weibull distribution introduced by many authors. In this study, we define and study a bivariate modified Weibull distribution. Some joint probability functions and conditional probability density function are obtained. Also, joint survival function is expressed in compact form. Several statistical properties of this distribution are discussed. In the area of stress-strength models, … …Journal of Mathematics and Statistics, Vol. 13, Issue 4 · 31 Oct 2017 · 7,000 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleImprovement of the Reliability of a Series-Parallel System Subject to Modified Weibull Distribution with Fuzzy ParametersNeama Salah Youssef TemrazThis paper introduce a series-parallel system consisted of independent and non-identical components with lifetimes follow the modified Weibull distribution. Reduction method is introduced to improve system reliability. Other methods of hot and cold standby duplication are established to improve system reliability. A procedure for computing the reliability of the original system and the improved systems is presented when the parameters … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 7 Sep 2017 · 6,943 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleProportional Hazard Inverse Weibull Distribution and Associated InferenceSuja M. Aboukhamseen, Mohamed E. Ghitany, Ramesh C. GuptaIn this study, we have considered the proportional hazard version of the inverse Weibull distribution. It has been shown that the density and hazard rate functions are unimodal and the mean residual life function is bathtub shaped. For the considered model, many functions of the parameters, such as the mean, variance, coefficient of variation and the critical points of the … …Journal of Mathematics and Statistics, Vol. 12, Issue 2 · 18 Apr 2016 · 7,385 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleThe Development of Parameter Estimation on Hazard Rate of Trivariate Weibull DistributionIrfan Wahyudi, Purhadi, Irhamah, SutiknoIn this study, the interrelation concepts of trivariate distribution function, trivariate survival function, trivariate probability density function and trivariate hazard rate function of trivariate Weibull distribution are presented. The goal of this contribution is to estimate the trivariate Weibull hazard rate parameters. To reach this goal, we will use an analitical approach in estimating called the Maximum Likelihood Estimation (MLE) … …Current Research in Biostatistics, Vol. 2, Issue 2 · 11 Aug 2012 · 8,923 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleComparison of the Bayesian and Maximum Likelihood Estimation for Weibull DistributionAl Omari Mohammed Ahmed, Hadeel Salim Al-Kutubi, Noor Akma IbrahimProblem statement: The Weibull distribution has been widely used especially in the modeling of lifetime event data. It provides a statistical model which has a wide variety of applications in many areas, and the main advantage is its ability in the context of lifetime event, to provide reasonably accurate failure analysis and failure forecasts especially with extremely small samples. The … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 10,955 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleEnhancing Lifetime Data Modeling With the Modified Version of Weibull Distribution: A Comparative ApproachArjun Kumar Gaire, Shahid Mohammad, Yogendra Bahadur GurungThis study introduces a new two-parameter univariate distribution, a modified version of the Weibull distribution, for a non-negative realm. Originating from a framework introduced by Azzalini and Capitanio, the distribution exhibits a monotonically increasing hazard rate. It offers closed-form expressions for key statistical properties, including reliability functions, moments, moment-generating functions, and order statistics. An expression for random number generation is … …Journal of Mathematics and Statistics, Vol. 21, Issue 1 · 8 Oct 2025 · 3,085 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleAlpha Power Inverted Exponentiated Weibull Distribution with Data ApplicationsAbdulkareem M. BasheerA novel extension of the Inverted Exponentiated Weibull (IEW) distribution is achieved through the utilization of the generator Alpha Power (AP) transformation. The resulting extended distribution is denoted as the Alpha Power Inverted Exponentiated Weibull (APIEW) distribution, which encompasses various sub-models. The statistical characteristics of the newly proposed distribution are established, encompassing the hazard rate function, mean residual life, mean … …Journal of Mathematics and Statistics, Vol. 20, Issue 1 · 21 Dec 2024 · 8,370 accessesView PDFCite