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:: Volume 8, Issue 1 (9-2011) ::
JSRI 2011, 8(1): 49-62 Back to browse issues page
On Performance of Reconstructed Middle Order Statistics in Exponential Distribution
M. Razmkhah *1, B. Khatib, J. Ahmadi
1- , razmkhah_m@um.ac.ir
Abstract:   (2579 Views)

 In a number of life-testing experiments, there exist situations where the monitoring breaks down for a temporary period of time. In such cases, some parts of the ordered observations, for example the middle ones, are censored and the only outcomes available for analysis consist of the lower and upper order statistics. Therefore, the experimenter may not gain the complete information on failure times for all experimental units. So, the accuracy of some statistical inferences may be decreases. In this paper, the effect of reconstructing missing order statistics on the performance of the maximum likelihood estimator (MLE) of the mean of the exponential distribution is investigated. To illustrate the proposed procedure in the paper, a real example is presented and using a simulation study, it will be shown that the reconstructing missing order statistics improves the estimation of the parameter of interest.

Keywords: Fisher information (FI), conditional median (mean) reconstructor, convex combination reconstructor
Full-Text [PDF 196 kb]   (604 Downloads)    
Type of Study: Research | Subject: General
Received: 2016/01/2 | Accepted: 2016/01/2 | Published: 2016/01/2
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Razmkhah M, Khatib B, Ahmadi J. On Performance of Reconstructed Middle Order Statistics in Exponential Distribution. JSRI. 2011; 8 (1) :49-62
URL: http://jsri.srtc.ac.ir/article-1-83-en.html

Volume 8, Issue 1 (9-2011) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران (علمی - پژوهشی) Journal of Statistical Research of Iran JSRI
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