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Admissible estimation for finite population under the Linex loss function

✍ Scribed by Guohua Zou


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
437 KB
Volume
61
Category
Article
ISSN
0378-3758

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✦ Synopsis


This paper considers the estimation problems of an arbitrary linear function of the characteristic values of a finite population under the Linex loss function. We obtain all admissible linear estimators when the variance o -2 is known and all admissible linear estimators in the class of linear estimators when O "2 is unknown.


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In estimating the size of a ΓΏnite population under a sequential sampling scheme where the stopping rule is to stop sampling when a ΓΏxed number of marked items are observed, it has been shown that the maximum likelihood estimator (MLE) does not have an explicit expression and is inadmissible under we