Minimal Sufficient $|sigma$-Fields and Minimal Sufficient Statistics. Two Counterexamples

Landers, Dieter; Rogge, Lothar

Ann. Math. Statist., Tome 43 (1972) no. 6, p. 2045-2049 / Harvested from Project Euclid

Résumé

In this paper there are solved two problems raised by Bahadur (1954) which concern the relation between the existence of a minimal sufficient $\sigma$-field and the existence of a minimal sufficient statistic. Two examples show that the existence of a minimal sufficient $\sigma$-field is neither necessary nor sufficient for the existence of a minimal sufficient statistic.

Publié le : 1972-12-14
Classification:

@article{1177690882,
     author = {Landers, Dieter and Rogge, Lothar},
     title = {Minimal Sufficient $|sigma$-Fields and Minimal Sufficient Statistics. Two Counterexamples},
     journal = {Ann. Math. Statist.},
     volume = {43},
     number = {6},
     year = {1972},
     pages = { 2045-2049},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177690882}
}

Landers, Dieter; Rogge, Lothar. Minimal Sufficient $|sigma$-Fields and Minimal Sufficient Statistics. Two Counterexamples. Ann. Math. Statist., Tome 43 (1972) no. 6, pp.  2045-2049. http://gdmltest.u-ga.fr/item/1177690882/