Further Properties and Estimations of Exponentiated Generalized Linear Exponential Distribution | |
---|---|
學年 | 110 |
學期 | 1 |
出版(發表)日期 | 2021-12-20 |
作品名稱 | Further Properties and Estimations of Exponentiated Generalized Linear Exponential Distribution |
作品名稱(其他語言) | |
著者 | Chien-Tai Lin; Yu Liu; Yun-Wei Li; Zhi-Wei Chen; Hassan M. Okasha |
單位 | |
出版者 | |
著錄名稱、卷期、頁數 | mathematics 9(24), 3328 |
摘要 | The recent exponentiated generalized linear exponential distribution is a generalization of the generalized linear exponential distribution and the exponentiated generalized linear exponential distribution. In this paper, we study some statistical properties of this distribution such as negative moments, moments of order statistics, mean residual lifetime, and their asymptotic distributions for sample extreme order statistics. Different estimation procedures include the maximum likelihood estimation, the corrected maximum likelihood estimation, the modified maximum likelihood estimation, the maximum product of spacing estimation, and the least squares estimation are compared via a Monte Carlo simulation study in terms of their biases, mean squared errors, and their rates of obtaining reliable estimates. Recommendations are made from the simulation results and a numerical example is presented to illustrate its use for modeling a rainfall data from Orlando, Florida. |
關鍵字 | corrected maximum likelihood estimation;least squares estimation;maximum likelihood estimation;maximum product of spacing estimation;Monte Carlo simulation |
語言 | en_US |
ISSN | 2227-7390 |
期刊性質 | 國外 |
收錄於 | SCI |
產學合作 | |
通訊作者 | Chien-Tai Lin |
審稿制度 | 是 |
國別 | CHE |
公開徵稿 | |
出版型式 | ,電子版 |
相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/122348 ) |
SDGS | 優質教育,尊嚴就業與經濟發展,產業創新與基礎設施 |