Title | ||
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Estimating a Parametric Component Lifetime Distribution from a Collection of Superimposed Renewal Processes. |
Abstract | ||
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Maintenance data can be used to make inferences about the lifetime distribution of system components. Typically, a fleet contains multiple systems. Within each system, there is a set of nominally identical replaceable components of particular interest (e.g., 2 automobile headlights, 8 dual in-line memory module (DIMM) modules in a computing server, 16 cylinders in a locomotive engine). For each component replacement event, there is system-level information that a component was replaced, but no information on which particular component was replaced. Thus, the observed data are a collection of superpositions of renewal processes (SRP), one for each system in the fleet. This article proposes a procedure for estimating the component lifetime distribution using the aggregated event data from a fleet of systems. We show how to compute the likelihood function for the collection of SRPs and provide suggestions for efficient computations. We compare performance of this incomplete-data maximum likelihood (ML) estimator with the complete-data ML estimator and study the performance of confidence interval methods for estimating quantiles of the lifetime distribution of the component. Supplementary materials for this article are available online. |
Year | DOI | Venue |
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2017 | 10.1080/00401706.2016.1172028 | TECHNOMETRICS |
Keywords | Field | DocType |
Component reliability,Log-location-scale family,Maximum likelihood estimation,Recurrence data,Relative efficiency,Superposition of renewal processes | Efficiency,Econometrics,DIMM,Lifetime distribution,Likelihood function,Maximum likelihood,Parametric statistics,Statistics,Mathematics,Memory module,Computation | Journal |
Volume | Issue | ISSN |
59.0 | 2.0 | 0040-1706 |
Citations | PageRank | References |
2 | 0.50 | 2 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Wei Zhang | 1 | 287 | 35.43 |
Ye Tian | 2 | 75 | 22.77 |
Luis A. Escobar | 3 | 64 | 12.28 |
william q meeker | 4 | 196 | 37.80 |