Competing Risk Models in Reliability Systems, A Gamma Distribution Model with Bayesian Analysis Approach

Ismed, Iskandar (2016) Competing Risk Models in Reliability Systems, A Gamma Distribution Model with Bayesian Analysis Approach. In: IOP Conference Series: Materials Science and Engineering: 2nd International Manufacturing Engineering Conference and 3rd Asia-Pacific Conference on Manufacturing Systems (iMEC-APCOMS 2015) , 12–14 November 2015 , Kuala Lumpur, Malaysia. pp. 1-7., 114 (012098).

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Abstract

In this paper our effort is to introduce the basic notions that constitute a competing risks models in reliability analysis using Bayesian analysis approach with Gamma distribution as our model and presenting their analytic methods. The Gamma distribution is widely used in reliability analysis and it is known as an natural extension of the exponential distribution. The cases are limited to the models with independent causes of failure, only the scale parameter is a random variable, and uniform 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.

Item Type:	Conference or Workshop Item (Speech)
Uncontrolled Keywords:	Competing risks, Likelihood function, Posterior/prior function, Hazard function, and Net/Crude/partial crude probability
Subjects:	T Technology > TS Manufactures
Faculty/Division:	Faculty of Manufacturing Engineering
Depositing User:	Mrs. Neng Sury Sulaiman
Date Deposited:	03 Dec 2015 02:47
Last Modified:	27 Sep 2016 07:51
URI:	http://umpir.ump.edu.my/id/eprint/11563
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