Estimation of a distribution function by an indirect sample

• Published in: Український математичний журнал
• Date: 2010
• Main Authors: Babilua, P., Nadaraya, E., Sokhadze, G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166300
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Estimation of a distribution function by an indirect sample / P. Babilua, E. Nadaraya, G. Sokhadze // Український математичний журнал. — 2010. — Т. 62, № 12. — С. 1642–1658. — Бібліогр.: 5 назв. — англ.

The problem of estimation of a distribution function is considered in the case where the observer has access only to a part of the indicator random values. Some basic asymptotic properties of the constructed estimates are studied. The limit theorems are proved for continuous functionals related to t...