Competing risk models in reliability systems, an exponetial distribution model with Bayesian analysis approach
The exponential distribution is the most widely used reliability analysis. This distribution is very suitable for representing the lengths of life of many cases and is available in a simple statistical form. The characteristic of this distribution is a constant hazard rate. The exponential distribut...
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| Format: | Conference or Workshop Item |
| Language: | English English |
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IOP Publishing Ltd
2017
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| Online Access: | http://umpir.ump.edu.my/id/eprint/21217/1/59.%20Competing%20risk%20models%20in%20reliability%20systems%2C%20an%20exponetial%20distribution%20model%20with%20Bayesian%20analysis%20approach.pdf http://umpir.ump.edu.my/id/eprint/21217/7/59.1%20Competing%20risk%20models%20in%20reliability%20systems%2C%20an%20exponetial%20distribution%20model%20with%20Bayesian%20analysis%20approach.pdf |
| _version_ | 1796992724372553728 |
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| author | Ismed, Iskandar |
| author_facet | Ismed, Iskandar |
| author_sort | Ismed, Iskandar |
| collection | UMP |
| description | The exponential distribution is the most widely used reliability analysis. This distribution is very suitable for representing the lengths of life of many cases and is available in a simple statistical form. The characteristic of this distribution is a constant hazard rate. The exponential distribution is the lower rank of the Weibull distributions. In this paper our effort is to introduce the basic notions that constitute an exponential competing risks model in reliability analysis using Bayesian analysis approach and presenting their analytic methods. The cases are limited to the models with independent causes of failure. A non-informative prior distribution is used in our analysis. This model describes the likelihood function and follows with the description of the posterior function and the estimations of the point, interval, hazard function, and reliability. The net probability of failure if only one specific risk is present, crude probability of failure due to a specific risk in the presence of other causes, and partial crude probabilities are also included. |
| first_indexed | 2024-03-06T12:23:58Z |
| format | Conference or Workshop Item |
| id | UMPir21217 |
| institution | Universiti Malaysia Pahang |
| language | English English |
| last_indexed | 2024-03-06T12:23:58Z |
| publishDate | 2017 |
| publisher | IOP Publishing Ltd |
| record_format | dspace |
| spelling | UMPir212172018-07-13T07:43:08Z http://umpir.ump.edu.my/id/eprint/21217/ Competing risk models in reliability systems, an exponetial distribution model with Bayesian analysis approach Ismed, Iskandar TS Manufactures The exponential distribution is the most widely used reliability analysis. This distribution is very suitable for representing the lengths of life of many cases and is available in a simple statistical form. The characteristic of this distribution is a constant hazard rate. The exponential distribution is the lower rank of the Weibull distributions. In this paper our effort is to introduce the basic notions that constitute an exponential competing risks model in reliability analysis using Bayesian analysis approach and presenting their analytic methods. The cases are limited to the models with independent causes of failure. A non-informative prior distribution is used in our analysis. This model describes the likelihood function and follows with the description of the posterior function and the estimations of the point, interval, hazard function, and reliability. The net probability of failure if only one specific risk is present, crude probability of failure due to a specific risk in the presence of other causes, and partial crude probabilities are also included. IOP Publishing Ltd 2017-03 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/21217/1/59.%20Competing%20risk%20models%20in%20reliability%20systems%2C%20an%20exponetial%20distribution%20model%20with%20Bayesian%20analysis%20approach.pdf pdf en http://umpir.ump.edu.my/id/eprint/21217/7/59.1%20Competing%20risk%20models%20in%20reliability%20systems%2C%20an%20exponetial%20distribution%20model%20with%20Bayesian%20analysis%20approach.pdf Ismed, Iskandar (2017) Competing risk models in reliability systems, an exponetial distribution model with Bayesian analysis approach. In: 4th Asia Pacific Conference on Manufacturing Systems and the 3rd International Manufacturing Engineering Conference, APCOMS-iMEC 2017 , 7-8 December 2017 , Yogyakarta, Indonesia. pp. 1-6., 319 (1). ISSN 17578981 http://iopscience.iop.org/article/10.1088/1757-899X/319/1/012069/pdf |
| spellingShingle | TS Manufactures Ismed, Iskandar Competing risk models in reliability systems, an exponetial distribution model with Bayesian analysis approach |
| title | Competing risk models in reliability systems, an exponetial distribution model with Bayesian analysis approach |
| title_full | Competing risk models in reliability systems, an exponetial distribution model with Bayesian analysis approach |
| title_fullStr | Competing risk models in reliability systems, an exponetial distribution model with Bayesian analysis approach |
| title_full_unstemmed | Competing risk models in reliability systems, an exponetial distribution model with Bayesian analysis approach |
| title_short | Competing risk models in reliability systems, an exponetial distribution model with Bayesian analysis approach |
| title_sort | competing risk models in reliability systems an exponetial distribution model with bayesian analysis approach |
| topic | TS Manufactures |
| url | http://umpir.ump.edu.my/id/eprint/21217/1/59.%20Competing%20risk%20models%20in%20reliability%20systems%2C%20an%20exponetial%20distribution%20model%20with%20Bayesian%20analysis%20approach.pdf http://umpir.ump.edu.my/id/eprint/21217/7/59.1%20Competing%20risk%20models%20in%20reliability%20systems%2C%20an%20exponetial%20distribution%20model%20with%20Bayesian%20analysis%20approach.pdf |
| work_keys_str_mv | AT ismediskandar competingriskmodelsinreliabilitysystemsanexponetialdistributionmodelwithbayesiananalysisapproach |