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A new decision theoretic sampling plan for exponential distribution under Type-I censoring.
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- Author(s): Prajapati, Deepak1 (AUTHOR); Mitra, Sharmistha1 (AUTHOR) ; Kundu, Debasis1 (AUTHOR)
- Source:
Communications in Statistics: Simulation & Computation. 2020, Vol. 49 Issue 2, p453-471. 19p.- Subject Terms:
- Source:
- Additional Information
- Abstract: In this paper a new decision theoretic sampling plan (DSP) is proposed for Type-I censored exponential distribution. The proposed DSP is based on a new estimator of the expected lifetime of an exponential distribution which always exists, unlike the usual maximum likelihood estimator. The DSP is a modification of the Bayesian variable sampling plan of Lam. An optimum DSP is derived in the sense that it minimizes the Bayes risk. In terms of the Bayes risks, it performs better than Lam's sampling plan and its performance is as good as the Bayesian sampling plan of Lin, Liang and Haung, although implementation of the DSP is very simple. Analytically it is more tractable than the Bayesian sampling plan of Lin, Liang and Haung, and it can be easily generalized for any other loss functions also. A finite algorithm is provided to obtain the optimal plan and the corresponding minimum Bayes risk is calculated. Extensive numerical comparisons with the optimal Bayesian sampling plan proposed by Lin, Liang and Haung are made. The results have been extended for three degree polynomial loss function and for Type-I hybrid censoring scheme. [ABSTRACT FROM AUTHOR]
- Abstract: Copyright of Communications in Statistics: Simulation & Computation is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Abstract:
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