Asymptotically Efficient Stochastic Approximation; The RM Case
Fabian, Vaclav
Ann. Statist., Tome 1 (1973) no. 2, p. 486-495 / Harvested from Project Euclid
Anbar (1971) and, independently, Abdelhamid (1971) have shown that if the density $g$ of the errors of estimates of function values is known, a transformation of observations leads to stochastic approximation methods which under mild conditions produce asymptotically efficient estimators (the first author considers the RM case, the second the RM and KW cases). This paper treats the RM case and shows that the same asymptotic result can be achieved without the knowledge of the density $g$.
Publié le : 1973-05-14
Classification: 
@article{1176342414,
     author = {Fabian, Vaclav},
     title = {Asymptotically Efficient Stochastic Approximation; The RM Case},
     journal = {Ann. Statist.},
     volume = {1},
     number = {2},
     year = {1973},
     pages = { 486-495},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176342414}
}
Fabian, Vaclav. Asymptotically Efficient Stochastic Approximation; The RM Case. Ann. Statist., Tome 1 (1973) no. 2, pp.  486-495. http://gdmltest.u-ga.fr/item/1176342414/