威布尔分布尺度参数的最佳双边检验  

Optimal Two-side Test of Weibull Distribution Scale Parameter

作　　者：姜培华[1] 

机构地区：[1]安徽工程大学数理学院,安徽芜湖241000

出　　处：《重庆工商大学学报（自然科学版）》2014年第8期1-4,19,共5页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：2012年地方高校国家级大学生创新创业训练计划项目(201210363122);国家自然科学基金(11226218);安徽省自然科学基金(1208085QA04)

摘　　要：众所周知,假设检验中有两类错误,即弃真和受伪的错误.传统检验方法拒绝域临界点的选取都是以尾部概率相等为准,这种方法得到的拒绝域使得犯第二类错误的概率累积值并非最小.此处从理论上推求给出威布尔分布尺度参数在犯第二类错误的概率累积最小意义下的最佳双边检验,并结合实例说明了最佳双边检验较传统双边检验的优越性.It is well-known that there are two classes of errors in hypothesis test, i.e., disposable true and pseudo error.The rejection of region critical point selection in traditional test methods is all based on tail probability equality, and the rejection region obtained by this method makes the probability accumulation value for making the second class of error not minimum. The optimal two-side test of Weibull distribution scale parameter under the minimum sense of the probability accumulation for making the second class of error is given by theoretical deduction and solution. Examples are used to explain the advantage of the optimal two-side test over traditional two-side test.

关 键 词：威布尔分布 尺度参数 双边检验 最佳双边检验 

分 类 号：O212.1[理学—概率论与数理统计]