Approach of Reliability Approximation with Extent of Error for a Resistor under Weibull Setup
Analytical determination of reliability of a complex system is item dependent and setup dependent and a very difficult task. In this paper we propose reliability approximation based on reliability bounds for one such engineering item - a Resistor with independent components having the Weibull distri...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Springer
2015-08-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/25840075.pdf |
| _version_ | 1818006983735771136 |
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| author | Sadananda Nayak Dilip Roy |
| author_facet | Sadananda Nayak Dilip Roy |
| author_sort | Sadananda Nayak |
| collection | DOAJ |
| description | Analytical determination of reliability of a complex system is item dependent and setup dependent and a very difficult task. In this paper we propose reliability approximation based on reliability bounds for one such engineering item - a Resistor with independent components having the Weibull distribution. Earlier approach for reliability approximation was discretization. We provide a different approach for reliability approximation so that one not only gets a clear idea about the extent of error but also can adjust reliability in terms of distributional parameters. This reliability approximation having the Weibull distribution can be of practical use and importance as reliability approximation is developed in terms of distributional parameters. |
| first_indexed | 2024-04-14T05:08:59Z |
| format | Article |
| id | doaj.art-0c24c49018144e0b91e1b22a12a21bd4 |
| institution | Directory Open Access Journal |
| issn | 1538-7887 |
| language | English |
| last_indexed | 2024-04-14T05:08:59Z |
| publishDate | 2015-08-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj.art-0c24c49018144e0b91e1b22a12a21bd42022-12-22T02:10:37ZengSpringerJournal of Statistical Theory and Applications (JSTA)1538-78872015-08-0114310.2991/jsta.2015.14.3.5Approach of Reliability Approximation with Extent of Error for a Resistor under Weibull SetupSadananda NayakDilip RoyAnalytical determination of reliability of a complex system is item dependent and setup dependent and a very difficult task. In this paper we propose reliability approximation based on reliability bounds for one such engineering item - a Resistor with independent components having the Weibull distribution. Earlier approach for reliability approximation was discretization. We provide a different approach for reliability approximation so that one not only gets a clear idea about the extent of error but also can adjust reliability in terms of distributional parameters. This reliability approximation having the Weibull distribution can be of practical use and importance as reliability approximation is developed in terms of distributional parameters.https://www.atlantis-press.com/article/25840075.pdfStress-Strength ModelSystem ReliabilityWeibull distributionReliability boundReliability approximationExtent of error. |
| spellingShingle | Sadananda Nayak Dilip Roy Approach of Reliability Approximation with Extent of Error for a Resistor under Weibull Setup Journal of Statistical Theory and Applications (JSTA) Stress-Strength Model System Reliability Weibull distribution Reliability bound Reliability approximation Extent of error. |
| title | Approach of Reliability Approximation with Extent of Error for a Resistor under Weibull Setup |
| title_full | Approach of Reliability Approximation with Extent of Error for a Resistor under Weibull Setup |
| title_fullStr | Approach of Reliability Approximation with Extent of Error for a Resistor under Weibull Setup |
| title_full_unstemmed | Approach of Reliability Approximation with Extent of Error for a Resistor under Weibull Setup |
| title_short | Approach of Reliability Approximation with Extent of Error for a Resistor under Weibull Setup |
| title_sort | approach of reliability approximation with extent of error for a resistor under weibull setup |
| topic | Stress-Strength Model System Reliability Weibull distribution Reliability bound Reliability approximation Extent of error. |
| url | https://www.atlantis-press.com/article/25840075.pdf |
| work_keys_str_mv | AT sadanandanayak approachofreliabilityapproximationwithextentoferrorforaresistorunderweibullsetup AT diliproy approachofreliabilityapproximationwithextentoferrorforaresistorunderweibullsetup |