In this article we investigate the estimation problem of the population mean of a ΓΏnite population. Both point and interval estimators are of interest from Bayes and empirical Bayes point of views. Empirical Bayes analysis is concerned with the 'current' population mean, say m,
Bayes sequential estimation of the size of a finite population
β Scribed by S. Zacks; C.A. de B. Pereira; J.G. Leite
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 899 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0378-3758
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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
Random sampling from a finite population of size N =nr (r known) is considered. The statistic observed is !Z$d,=number of observations required until the kth set of size I from the n wta of r is obtained. An asymptotically unbiased estimator of n is obtained together with ita approximate variance. R
This paper considers the problem of estimating the population total when the population size is unknown. A sampling design, in which units are selected with equal probability, are sequentially marked and then returned back until a ΓΏxed number of repetitions occur, has been considered. This allows th