Degradation

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Estimating the Time-to-Failure Distribution of a Linear Degradation Model Using a Bayesian Approach

Journal Title, Volume, Page: 
Applied Mathematical Sciences, Vol. 3, no. 1, 27-42
Year of Publication: 
2009
Authors: 
Amani Arman
Department of Statistics, Yarmouk University, Irbid, Jordan
Current Affiliation: 
Department of Statistics, Faculty of Science, An-Najah National University, Nablus, Palestine
Mohammed Al-Haj Ebrahem
Department of Statistics, Yarmouk University, Irbid, Jordan
M. T. Alodat
Department of Statistics, Yarmouk University, Irbid, Jordan
Preferred Abstract (Original): 

In this paper, we consider two types of failure data namely grouped and non-grouped, which can be motivated from a linear mixed degradation model. We propose a Bayesian approach to estimate the parameters of the time-to-failure distribution and its  percentiles.  A  simulation  study  conducted  to  study  the  performance  of  the proposed method showed that in terms of the mean squares error and the length of the bootstrap confidence intervals, the behavior of the proposed method is satisfactory. Also, it showed that the Bayesian approach with non-grouped data is better than the Bayesian approach with a grouped data. Application to a real data set is given.

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