2019
Том 71
№ 11

Estimation of a distribution function by an indirect sample

Abstract

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 $F^n(x)$ in the space $C[a,\; 1 - a], 0 < a < 1/2$.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 12, pp 1906-1924.

Citation Example: Babilua P., Nadaraya E., Sokhadze G. A. Estimation of a distribution function by an indirect sample // Ukr. Mat. Zh. - 2010. - 62, № 12. - pp. 1642–1658.

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