کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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1150711 | 957976 | 2006 | 22 صفحه PDF | دانلود رایگان |
We consider a parameter estimation problem with independent observations where one samples from a finite population of independent and identically distributed experimental conditions X. The size of the population is N but only n samples, a proportion αα of N , can be used. The quality of a sample is measured by a regular optimality criterion φ(·)φ(·) based on the information matrix, such as the D -criterion. The construction of an optimal approximate design bounded by μ/αμ/α, with μμ the probability measure of X, can be used to construct a sampling strategy which is asymptotically optimum (when the size N of the population tends to infinity). We show that a sequential strategy which does not require any information on μμ is also asymptotically optimum. Some possible applications are indicated.
Journal: Journal of Statistical Planning and Inference - Volume 136, Issue 8, 1 August 2006, Pages 2783–2804