Estimation of the change point of a distribution based on the number of failed test items |
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| Authors: | Zhenmin Chen Dietmar Ferger Jie Mi |
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| Institution: | (1) Department of Statistics, Florida International University, Miami, FL 33199, USA, US;(2) Department of Mathematics, Dresden University of Technology, D-01062 Dresden, Germany, DE |
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| Abstract: | This paper discusses the family of life distributions with failure rate functions which decrease initially until a change
point and remain constant thereafter. The paper focuses on the estimation for the change point of the failure rate function.
While point estimation of the change point of the failure rate function has been discussed by some authors, one can hardly
find any existing work on the interval estimation of the change point. In this paper, a method for constructing approximate
confidence intervals for the change point is proposed. The proposed approximate confidence intervals are based on the number
of failed test items at or before a fixed inspection time.
Received: September 1999 |
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| Keywords: | : Failure rate function inspection time Central Limit Theorem Strassen-type Invariance principle |
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