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Bivariate Beta–Inverse Weibull Distribution:Theory and Applications

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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Power Hamza Distribution with Application to Lifetime Data

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Journal of Applied Mathematics and Physics 2022年第1期10卷 31-48页

作者： Samuel U. Enogwe Chike H. Nwankwo Eric U. Oti Department of Statistics Michael Okpara University of Agriculture Umudike Nigeria Department of Statistics Nnamdi Azikiwe University Awka Nigeria Department of Statistics Federal Polytechnic Ekowe Nigeria

In this paper, a three-parameter lifetime distribution named power Hamza distribution (PH) is proposed. The PH distribution is a useful generalization of the Hamza distribution which accommodates heavy-tailed, upside-down bathtub and J-shaped hazard rates making it more flexible than the Hamza distribution for modelling various kinds of lifetime data. A comprehensive account of the properties of this distribution is presented. The maximum likelihood estimators of the unknown model parameters are discussed. Finally, a real-life data is analyzed for illustrative purpose proving that the PH outperforms the Hamza distribution and several other lifetime distributions.

关键词： Hamza Distribution Hazard Rate Function conditional moments Stochastic Ordering Maximum Likelihood Method

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