scholarly journals Parametric Bootstrap Confidence Interval Method for the Power Law Process With Applications to Multiple Repairable Systems

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 49157-49169 ◽  
Author(s):  
Yanping Wang ◽  
Zhenzhou Lu ◽  
Sinan Xiao
Keyword(s):  
Confidence Interval ◽  
Power Law ◽  
Parametric Bootstrap ◽  
Bootstrap Confidence Interval ◽  
Repairable Systems ◽  
Interval Method ◽  
Power Law Process ◽  
Confidence Interval Method

scholarly journals Bayesian analysis of repairable systems with modulated power law process

2017 ◽  
Vol 44 ◽  
pp. 357-373 ◽  
Author(s):  
Yincai Tang ◽  
Jiayu Fu ◽  
Wenchen Liu ◽  
Ancha Xu
Keyword(s):  
Bayesian Analysis ◽  
Power Law ◽  
Repairable Systems ◽  
Power Law Process

INFERENCES ON THE PARAMETERS AND SYSTEM RELIABILITY FOR A FAILURE-TRUNCATED POWER LAW PROCESS: A BAYESIAN APPROACH USING A CHANGE-POINT

2004 ◽  
Vol 11 (02) ◽  
pp. 175-185 ◽  
Author(s):  
M. G. RICHARDSON ◽  
A. P. BASU
Keyword(s):  
Power Law ◽  
Change Point ◽  
Repairable System ◽  
Repairable Systems ◽  
Process Change ◽  
Power Law Process ◽  
System Failures ◽  
Failure Times ◽  
Age Dependent ◽  
Change Point Model

The reliability of a repairable system that is either improving or deteriorating depends on the system's chronological age. If such a system undergoes "minimal repair" at the occurrence of each failure so that the rate of system failures is not disturbed by the repair, then a nonhomogeneous Poisson process (NHPP) may be used to model the "age-dependent" reliability of the system. The power law process (PLP) is a model within the class of NHPP models and is commonly used as a model for describing the failure times of a repairable system. We introduce a new model that is an extension of the PLP model: the power law process change-point model. This model is capable of describing the failure times of particular types of repairable systems that experience a single change in their rates of occurrence of failures. Bayesian inference procedures for this model are developed.

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