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an estimation of the entropy for a double exponential distribution based on multiply type-ii censored samples双指数分布的熵估计基于乘二型审查样品.pdf

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an estimation of the entropy for a double exponential distribution based on multiply type-ii censored samples双指数分布的熵估计基于乘二型审查样品

Entropy 2012, 14, 161-173; doi:10.3390/ OPEN ACCESS entropy ISSN 1099-4300 /journal/entropy Article An Estimation of the Entropy for a Double Exponential Distribution Based on Multiply Type-II Censored Samples Suk-Bok Kang , Young-Seuk Cho , Jun-Tae Han and Jinsoo Kim Department of Statistics, Yeungnam University, Dae-dong, Gyongsan 712-749, Korea; E-Mail: sbkang@ynu.ac.kr Department of Statistics, Pusan National University, Geumjeong-gu, Busan 609-735, Korea; E-Mail: choys@pusan.ac.kr Informatization Team, Ministry of Patriots and Veterans Affairs, Yeouido-dong, Seoul 150-874, Korea Senior Research Fellow, The Korea Institute for Health and Social Affairs, Bulgwangdong, Eunpyeonggu, Seoul 122-705, Korea; E-Mail: econ123@lycos.co.kr Author to whom correspondence should be addressed; E-Mail: hanjt1003@. Received: 20 November 2011; in revised form: 14 January 2012 / Accepted: 18 January 2012 / Published: 31 January 2012 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 co