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

Entropy

Suk-Bok Kang²  Young-Seuk Cho³  Jun-Tae Han¹ 

[1] Informatization Team, Ministry of Patriots and Veterans Affairs, Yeouido-dong, Seoul 150-874, Korea;Department of Statistics, Yeungnam University, Dae-dong, Gyongsan 712-749, Korea; E-Mail:;Department of Statistics, Pusan National University, Geumjeong-gu, Busan 609-735, Korea; E-Mail:

关键词: double exponential distribution;    entropy;    multiply Type-II censored sample;   

DOI  :  10.3390/e14020161

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2012 by the authors; licensee MDPI, Basel, Switzerland.