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The exact hypothesis test for the shape parameter of a new two-parameter distribution with the bathtub shape or increasing failure rate function under progressive censoring with random removals

類別:期刊論文

學年 / 學期:98-1

出版日期:2009-08-01 00:00:00

著者:Wu, Shu-Fei; Wu, Chin-Chuan; Lin, Huan-Min

單位:淡江大學統計學系

出版者:Abingdon: Taylor & Francis Ltd.

著錄名稱、卷期、頁數:Journal of Statistical Computation and Simulation 79(8), pp.1015-1042

摘要:This study considers the exact hypothesis test for the shape parameter of a new two-parameter distribution with the shape of a bathtub or increasing failure rate function under type II progressive censoring with random removals, where the number of units removed at each failure time follows a binomial or a uniform distribution. Several test statistics are proposed and one numerical example is provided to illustrate the proposed hypothesis test for the shape parameter. Finally, a simulation study is performed to compare the power performances of all proposed test statistics. We concluded that the test statistic w 1 is more attractive than other methods as it has better performance than other test statistics for most cases based on the criteria of maximum power.

關鍵字:new two-parameter distribution with the bathtub shape or increasing failure rate function; type II censoring; progressive censoring; binomial removals; random removals

語言:en

ISSN:0094-9655; 1563-5163

收錄於:SCI

通訊作者:Wu, Shu-Fei

國別:GBR

出版型式:紙本