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Entropy 2012, 14(2), 161-173; doi:10.3390/e14020161
Article

An Estimation of the Entropy for a Double Exponential Distribution Based on Multiply Type-II Censored Samples

1
, 2
, 3,*  and 4
1 Department of Statistics, Yeungnam University, Dae-dong, Gyongsan 712-749, Korea 2 Department of Statistics, Pusan National University, Geumjeong-gu, Busan 609-735, Korea 3 Informatization Team, Ministry of Patriots and Veterans Affairs, Yeouido-dong, Seoul 150-874, Korea 4 Senior Research Fellow, The Korea Institute for Health and Social Affairs, Bulgwangdong, Eunpyeonggu, Seoul 122-705, Korea
* Author to whom correspondence should be addressed.
Received: 20 November 2011 / Revised: 14 January 2012 / Accepted: 18 January 2012 / Published: 31 January 2012
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Abstract

In many life-testing and reliability studies, the experimenter might not always obtain complete information on failure times for all experimental units. Multiply Type-II censored sampling arises in a life-testing experiment whenever the experimenter does not observe the failure times of some units placed on a life-test. In this paper, we obtain estimators for the entropy function of a double exponential distribution under multiply Type-II censored samples using the maximum likelihood estimation and the approximate maximum likelihood estimation procedures. We compare the proposed estimators in the sense of the mean squared errors by using Monte Carlo simulation.
Keywords: double exponential distribution; entropy; multiply Type-II censored sample double exponential distribution; entropy; multiply Type-II censored sample
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kang, S.-B.; Cho, Y.-S.; Han, J.-T.; Kim, J. An Estimation of the Entropy for a Double Exponential Distribution Based on Multiply Type-II Censored Samples. Entropy 2012, 14, 161-173.

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