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Bayesian Predictions for Exponentially Distributed Failure Times With One Change-Point
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Y. Abdel-Aty
Published/Copyright:
March 10, 2010
Abstract
Suppose that a number of items is put on operation and that their life times are identically exponentially distributed up to a time a, when the operating conditions change resulting in a different failure intensity of the exponential distribution for those items which have survived the change-point a. Predictions are made for the lifetime of operating items on condition of observed failures of a part of the items before and after the change-point a. The predictions are based on an Bayes approach, which is briefly introduced. Numerical examples are given to illustrate the results.
Published Online: 2010-03-10
Published in Print: 2003-October
© Heldermann Verlag
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Articles in the same Issue
- NP-Optimal Kernels for Nonparametric Sequential Detection Rules
- Availability Formulas and Performance Measures for Separable Degradable Networks
- Bayesian Predictions for Exponentially Distributed Failure Times With One Change-Point
- Bayes Inference Problems in Failure-Repair Processes
- Forecasting of Categorical Time Series Using a Regression Model
- Estimation of a Threshold-Value in the Context of Air Pollution and Health
- Estimation of the Jump-Point in a Hazard Function
- Distributions of the Estimated Process Capability Index Cpk
