首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Different estimation methods for the parameters of the extended Burr XII distribution
Authors:Ilhan  Usta
Institution:Department of Statistics, Faculty of Science , Anadolu University , Eskisehir , 26470 , Turkey
Abstract:The extended three-parameter Burr XII (EBXII) distribution has recently attracted considerable attention for modeling data from various scientific fields since it yields a wide range of skewness and kurtosis values. However, it is well known that the parameter estimates have significant effects on the success of a distribution in real-life applications. In this study, modified moment estimators (MMEs) and modified probability-weighted moments estimators (MPWMEs) are used to estimate the parameters of the EBXII distribution. These two considered estimators are also compared with the commonly used maximum-likelihood, percentiles, least-squares and weighted least-squares estimators in terms of bias and efficiency via an extensive numerical simulation. The MMEs and MPWMEs are observed to perform well in varying sample cases, and the simulation results are supported with application through a real-life data set.
Keywords:extended Burr XII distribution  modified moment estimators  modified probability-weighted moments estimators  maximum-likelihood estimators  efficiency  bias
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号