A Log-weighted Power Function Distribution and Its Statistical Properties

Journal of Data Science

article

Rasha Mohamed Mandouh¹  Mahmoud Abdel-Ghaffar Mohamed¹ 

[1] Department of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University

关键词: Log-weighted power function distribution;    Weighted distributions;    Survival function;    Hazard rate function;    Order statistics;    Maximum likelihood;    Moments;    L-moments;   

DOI  :  10.6339/JDS.202004_18(2).0003

学科分类：土木及结构工程学

来源: JDS

【 摘 要 】

The Power function distribution is a flexible life time distribution that has applications in finance and economics. It is, also, used to model reliability growth of complex systems or the reliability of repairable systems. A new weighted Power function distribution is proposed using a logarithmic weight function. Statistical properties of the weighted power function distribution are obtained and studied. Location measures such as mode, median and mean, reliability measures such as reliability function, hazard and reversed hazard functions and the mean residual life are derived. Shape indices such as skewness and kurtosis coefficients and order statistics are obtained. Parametric estimation is performed to obtain estimators for the parameters of the distribution using three different estimation methods; namely: the maximum likelihood method, the L-moments method and the method of moments. Numerical simulation is carried out to validate the robustness of the proposed distribution.

【 授权许可】

CC BY