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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1998 Volume 43, Issue 1, Pages 141–148 (Mi tvp883)

This article is cited in 14 papers

Short Communications

On nonparametric estimation of reliability indices

A. A. Abdushukurov

Tashkent State University, Faculty of Mathematics and Mechanics

Abstract: The paper proposes nonparametric estimates for exponential cumulative intensity functions based on the generalized model of random censorship from the right. For respectively normed estimates, the results on strong approximationof them by a sequence of square integrable orthogonal martingales and on the weak convergence to the limit Gaussian process are proved.

Keywords: cumulative intensity function, censored data, square integrable martingale, Gaussian process.

Received: 25.12.1995

DOI: 10.4213/tvp883


 English version:
Theory of Probability and its Applications, 1999, 43:1, 116–122

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