Estimation of a distribution function by an indirect sample

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...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2011-05, Vol.62 (12), p.1906-1924
Main Authors: Nadaraya, E., Babilua, P., Sokhadze, G.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Summary: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 the estimation of in the space C [ a , 1 - a ], 0 
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-011-0479-y