Statistical analysis of a power-law model for repair data

Author

Park, Won J. ; Pickering, Evelyn H.

Author_Institution

Dept. of Math. & Stat., Wright State Univ., Dayton, OH, USA

Volume

46

Issue

1

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

27

Lastpage

30

Abstract

The power-law process is an alternative model to the homogeneous Poisson process for analyzing repair data. When many nominally-identical systems are in service, the repair data for all systems can be used to assess the aptness of the power-law model. To test the hypothesis of a homogeneous Poisson process versus the power-law process, the maximum likelihood estimates of the power-law process parameters are used. A table of the critical values for the estimates is given, along with an example of their use

Keywords

failure analysis; maintenance engineering; maximum likelihood estimation; stochastic processes; confidence interval; critical values; homogeneous Poisson process; maximum likelihood estimates; mean time between failure; nominally-identical systems; power-law model; repair data; statistical analysis; Closed-form solution; Data analysis; Failure analysis; History; Maximum likelihood estimation; Power system modeling; Sampling methods; Statistical analysis; Testing; Warranties;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/24.589922

Filename

589922