The asymptotic properties for the estimators of the survival function and failure rate function based on WOD samples

Aiting Shen (), Huiling Tao and Xuejun Wang
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Aiting Shen: Anhui University
Huiling Tao: Anhui University
Xuejun Wang: Anhui University

Statistical Papers, 2020, vol. 61, issue 6, No 17, 2684 pages

Abstract: Abstract In this paper, the consistency for the estimators of the survival function and failure rate function in reliability theory is investigated. The strong consistency and the convergence rate for the estimators of the survival function and failure rate function based on widely orthant dependent (WOD, in short) samples are established. Our results established in the paper generalize the corresponding ones for independent samples and some negatively dependent samples.

Keywords: Survival function; Failure rate function; Reliability theory; WOD random variables; Strong consistency; 62G07 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s00362-018-01064-w

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