Stratified Sampling with Exchangeable Prior Distributions

Thompson, M. E.

Thompson, M. E.

Ann. Statist., Tome 6 (1978) no. 1, p. 1168-1169 / Harvested from Project Euclid

Résumé

Suppose a finite population is stratified such that the variate values, appropriately scaled, are exchangeable within strata and independent from stratum to stratum. Consider designs with fixed sample sizes within strata, and unbiased estimators of the population total. Minimum expected variance is achieved with a stratified $\pi ps$ design and the usual (Horvitz-Thompson) unbiased estimator.

Publié le : 1978-09-14
Classification: Optimality, finite populations, superpopulation, stratified sampling, exchangeable priors, 62O05

@article{1176344320,
     author = {Thompson, M. E.},
     title = {Stratified Sampling with Exchangeable Prior Distributions},
     journal = {Ann. Statist.},
     volume = {6},
     number = {1},
     year = {1978},
     pages = { 1168-1169},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176344320}
}

Thompson, M. E. Stratified Sampling with Exchangeable Prior Distributions. Ann. Statist., Tome 6 (1978) no. 1, pp.  1168-1169. http://gdmltest.u-ga.fr/item/1176344320/