An Alternative Proof of the Admissibility of the Horvitz-Thompson Estimator

Ramakrishnan, M. K.

Ann. Statist., Tome 1 (1973) no. 2, p. 577-579 / Harvested from Project Euclid

Résumé

Godambe and Joshi (1965) have shown that for any design the Horvitz-Thompson estimator is admissible in the class of all unbiased estimators of a finite population total. In this note we give a simple alternative proof of this result using induction on the size of the population.

Publié le : 1973-05-14
Classification:

@article{1176342427,
     author = {Ramakrishnan, M. K.},
     title = {An Alternative Proof of the Admissibility of the Horvitz-Thompson Estimator},
     journal = {Ann. Statist.},
     volume = {1},
     number = {2},
     year = {1973},
     pages = { 577-579},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176342427}
}

Ramakrishnan, M. K. An Alternative Proof of the Admissibility of the Horvitz-Thompson Estimator. Ann. Statist., Tome 1 (1973) no. 2, pp.  577-579. http://gdmltest.u-ga.fr/item/1176342427/