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关于单侧检验拒绝域的证明及假设检验的概率实质
引用本文:谢明文.关于单侧检验拒绝域的证明及假设检验的概率实质[J].数学的实践与认识,2004,34(10):99-103.
作者姓名:谢明文
作者单位:西南财经大学经济数学系,四川,成都,610074
摘    要:根据假设检验的基本思想 ,阐明了“检验规则”的实质 ;根据小概率原理 ,完善了对单总体参数单侧检验拒绝域的理论证明 ;根据假设检验中的参数是一个未知的常数而不是一个变量的观点 ,揭示了单侧检验的概率实质 .同时 ,还提出了单侧检验中的两个易被忽视的问题及其解决方法 .最后 ,对假设检验中的一些基本概念给出了几点简要的评注 .

关 键 词:规则的实质  命题证明  单侧检验的实质  两个问题  几点评注
修稿时间:2004年1月7日

The Demonstration on Reject Area of Unilateral Test and the Probability Essential of Hypothesis Test
XIE Ming-wen.The Demonstration on Reject Area of Unilateral Test and the Probability Essential of Hypothesis Test[J].Mathematics in Practice and Theory,2004,34(10):99-103.
Authors:XIE Ming-wen
Abstract:According to the basic principle of hypothesis test, this thesis clarifies the essential of ″test rules″, and improves the theoretic demonstration on unilateral test reject area of mono-parameter based on minimum probability principle. This thesis concludes the probability essential of hypothesis test based on the consideration that the parameter in hypothesis test is not an variable but an unknown constant. Meanwhile, it emphasizes two easily ignored problems in unilateral test and their solution, and a few brief annotation to some basic conception of hypothesis test is added at the end of the thesis.
Keywords:essential of rules  demonstration of proposition  essential of unilateral test  two problems  few annotations
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