Nonparametric Estimation of the Interval Reliability
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 presen...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Springer
2014-12-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/14758.pdf |
| _version_ | 1828364454899744768 |
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| author | Angel Mathew N. Balakrishna |
| author_facet | Angel Mathew N. Balakrishna |
| author_sort | Angel Mathew |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T05:15:52Z |
| format | Article |
| id | doaj.art-e494baec0c714d74be6276dc529bb603 |
| institution | Directory Open Access Journal |
| issn | 1538-7887 |
| language | English |
| last_indexed | 2024-04-14T05:15:52Z |
| publishDate | 2014-12-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj.art-e494baec0c714d74be6276dc529bb6032022-12-22T02:10:22ZengSpringerJournal of Statistical Theory and Applications (JSTA)1538-78872014-12-0113410.2991/jsta.2014.13.4.8Nonparametric Estimation of the Interval ReliabilityAngel MathewN. BalakrishnaThe 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.https://www.atlantis-press.com/article/14758.pdfAvailability; Censored data; Empirical distribution function; Product limit estimator; Renewal function |
| spellingShingle | Angel Mathew N. Balakrishna Nonparametric Estimation of the Interval Reliability Journal of Statistical Theory and Applications (JSTA) Availability; Censored data; Empirical distribution function; Product limit estimator; Renewal function |
| title | Nonparametric Estimation of the Interval Reliability |
| title_full | Nonparametric Estimation of the Interval Reliability |
| title_fullStr | Nonparametric Estimation of the Interval Reliability |
| title_full_unstemmed | Nonparametric Estimation of the Interval Reliability |
| title_short | Nonparametric Estimation of the Interval Reliability |
| title_sort | nonparametric estimation of the interval reliability |
| topic | Availability; Censored data; Empirical distribution function; Product limit estimator; Renewal function |
| url | https://www.atlantis-press.com/article/14758.pdf |
| work_keys_str_mv | AT angelmathew nonparametricestimationoftheintervalreliability AT nbalakrishna nonparametricestimationoftheintervalreliability |