Unbiased Estimation for Some Non-Parametric Families of Distributions
Fisher, N. I.
Ann. Statist., Tome 10 (1982) no. 1, p. 603-615 / Harvested from Project Euclid
This paper is concerned with the theory of unbiased estimation for nonparametric families of distributions subject to "generalised moment" restrictions. Necessary and sufficient conditions under which symmetric statistics are unique minimum variance unbiased estimators of their expectations are obtained, and some new boundedly complete families of distributions are exhibited.
Publié le : 1982-06-14
Classification:  Bounded completeness,  minimum variance unbiased estimation,  sufficiency,  62G05,  62G30
@article{1176345801,
     author = {Fisher, N. I.},
     title = {Unbiased Estimation for Some Non-Parametric Families of Distributions},
     journal = {Ann. Statist.},
     volume = {10},
     number = {1},
     year = {1982},
     pages = { 603-615},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176345801}
}
Fisher, N. I. Unbiased Estimation for Some Non-Parametric Families of Distributions. Ann. Statist., Tome 10 (1982) no. 1, pp.  603-615. http://gdmltest.u-ga.fr/item/1176345801/