WANG Dehui, SONG Lixin. Estimation of Exponential Distribution Parameter under Entropy Loss Function Based on Type Ⅱ Censoring[J]. Chinese Journal of Applied Probability and Statistics, 1999, 15(2): 176-186.
Citation:
WANG Dehui, SONG Lixin. Estimation of Exponential Distribution Parameter under Entropy Loss Function Based on Type Ⅱ Censoring[J]. Chinese Journal of Applied Probability and Statistics, 1999, 15(2): 176-186.
WANG Dehui, SONG Lixin. Estimation of Exponential Distribution Parameter under Entropy Loss Function Based on Type Ⅱ Censoring[J]. Chinese Journal of Applied Probability and Statistics, 1999, 15(2): 176-186.
Citation:
WANG Dehui, SONG Lixin. Estimation of Exponential Distribution Parameter under Entropy Loss Function Based on Type Ⅱ Censoring[J]. Chinese Journal of Applied Probability and Statistics, 1999, 15(2): 176-186.
Estimation of Exponential Distribution Parameter under Entropy Loss Function Based on Type Ⅱ Censoring
Based on the first r order statisticsX(1),...,X(r), we consider the estimation of exponential distribtion parameter under entropy loss function. We prove that the minimum risk equivariant is \left\fracT(X)r-1\right^-1, also, the admissibility and inadmissibility of (cT(X)+d)-1 are studied.