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A New Three-Parameter inverse weibull distribution with Medical and Engineering Applications

Computer Modeling in Engineering & Sciences 2023年第5期135卷 1255-1274页

作者： Refah Alotaibi Hassan Okasha Hoda Rezk Mazen Nassar Department of Mathematical Sciences College of SciencePrincess Nourah bint Abdulrahman UniversityRiyadh11671Saudi Arabia Department of Statistics Faculty of ScienceKing Abdulaziz UniversityJeddah21589Saudi Arabia Department of Mathematics Faculty of ScienceAl-Azhar UniversityNasr City11884CairoEgypt Department of Statistics Faculty of CommerceAl-Azhar UniversityNasr City11884CairoEgypt Department of Statistics Faculty of CommerceZagazig UniversityZagazig44519Egypt

The objective of this article is to provide a novel extension of the conventional inverse weibull distribution that adds an extra shape parameter to increase its *** addition is beneficial in a variety of fields,including reliability,economics,engineering,biomedical science,biological research,environmental studies,and *** modeling real data,several expanded classes of distributions have been *** modified alpha power transformed approach is used to implement the new *** datamatches the new inverseweibull distribution better than the inverse weibull distribution and several other competing *** appears to be a distribution designed to support decreasing or unimodal shaped distributions based on its *** expressions for quantiles,moments,incomplete moments,moment generating function,characteristic generating function,and entropy expression are among the determined attributes of the new *** point and interval estimates are studied using the maximum likelihood *** research is conducted to illustrate the correctness of the theoretical *** applications to medical and engineering data are utilized to illustrate the model’s flexibility.

关键词： inverse weibull distribution modified alpha power transformation method moments order statistics

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Bivariate Beta–inverse weibull distribution:Theory and Applications

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Computer Systems Science & Engineering 2021年第1期36卷 83-100页

作者： Ali Algarni Muhammad Qaiser Shahbaz Department of Statistics Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

Probability distributions have been in use for modeling of random phenomenon in various areas of *** of probability distributions has been the area of interest of several authors in the recent *** situations arise where joint modeling of two random phenomenon is *** such cases the bivariate distributions are *** of the bivariate distributions necessitates certain conditions,in a field where few work has been *** paper deals with a bivariate beta-inverse weibull *** marginal and conditional distributions from the proposed distribution have been *** for the joint and conditional density functions for the proposed distribution have been *** properties,including product,marginal and conditional moments,joint moment generating function and joint hazard rate function of the proposed bivariate distribution have been *** study for the dependence function has been implemented to see the effect of various parameters on the dependence of *** of the parameters of the proposed bivariate distribution has been done by using the maximum likelihood method of *** and real data application of the distribution are presented.

关键词： Bivariate beta distribution inverse weibull distribution conditional moments maximum likelihood estimation

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The Marshall-Olkin Right Truncated Fréchet-Inverted weibull distribution: Its Properties and Applications

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Open Journal of Modelling and Simulation 2021年第1期9卷 74-89页

作者： Nora Nader M. A. El-Damcese B. S. El-Desouky Department of Mathematics Faculty of Science Mansoura University Mansoura Egypt Department of Mathematies Faculty of Science Tanta University Tanta Egypt

In this paper, a new probability distribution is proposed by using Marshall and Olkin transformation. Some of its properties such as moments, moment generating function, order statistics and reliability functions are derived. The method of maximum likelihood is used to estimate the model parameters. The graphs of the reliability function and hazard rate function are plotted by taken some values of the parameters. Three real life applications are introduced to compare the behaviour of the new distribution with other distributions.

关键词： Marshall and Olkin Moment Generating Function Density Function Order Statistics Reliability Function inverse weibull distribution Maximum Likelihood

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