Journal of Statistical Theory and Applications

Volume 13, Issue 4, December 2014, Pages 356 - 366

Nonparametric Estimation of the Interval Reliability

Authors
Angel Mathew, N. Balakrishna
Corresponding Author
Angel Mathew
Received 4 September 2013, Accepted 12 May 2014, Available Online 30 December 2014.
DOI
10.2991/jsta.2014.13.4.8How to use a DOI?
Keywords
Availability; Censored data; Empirical distribution function; Product limit estimator; Renewal function
Abstract

The interval reliability of a repairable system is the probability that the system is operating at a specified time and will continue to operate for a specified interval of time. This quantity is especially important for equipment, which must be working when an emergency situation arises. The present paper discusses the nonparametric estimation of the interval reliability when (i) the data on ‘n’ complete cycles of system operation are available, (ii) the data are subject to right censorship, and (iii) the process is observed up to a specified time ‘T’. A Simulation study is conducted to assess the performance of the estimators. The proposed method is also illustrated using a compressor failure data.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
13 - 4
Pages
356 - 366
Publication Date
2014/12/30
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2014.13.4.8How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Angel Mathew
AU  - N. Balakrishna
PY  - 2014
DA  - 2014/12/30
TI  - Nonparametric Estimation of the Interval Reliability
JO  - Journal of Statistical Theory and Applications
SP  - 356
EP  - 366
VL  - 13
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2014.13.4.8
DO  - 10.2991/jsta.2014.13.4.8
ID  - Mathew2014
ER  -