Estimation of density by indirect observations

Autor: Valentin Solev
Rok vydání: 2013
Předmět:
Zdroj: Journal of Mathematical Sciences. 188:753-757
ISSN: 1573-8795
1072-3374
DOI: 10.1007/s10958-013-1167-2
Popis: In this paper, we study the accuracy of estimation of an unknown density in the L 1-space by indirect observations. We suggest a simple nonparametric estimator $ {{\hat{f}}_n} $ for the unknown f and, under some appropriate conditions, prove the consistency of this estimator. Bibliography: 4 titles.
Databáze: OpenAIRE