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Fourth-order kernel method for simple linear degradation model.
- Source :
- Communications in Statistics: Simulation & Computation; 2018, Vol. 47 Issue 1, p16-29, 14p
- Publication Year :
- 2018
-
Abstract
- Degradation analysis is a useful technique when life tests result in few or even no failures. The degradation measurements are recorded over time and the estimation of time-to-failure distribution plays a vital role in degradation analysis. The parametric method to estimate the time-to-failure distribution assumed a specific parametric model with known shape for the random effects parameter. To avoid any assumption about the model shape, a nonparametric method can be used. In this paper, we suggest to use the nonparametric fourth-order kernel method to estimate the time-to-failure distribution and its percentiles for the simple linear degradation model. The performances of the proposed method are investigated and compared with the classical kernel; maximum likelihood and ordinary least squares methods via simulation technique. The numerical results show the good performance of the fourth-order kernel method and demonstrate its superiority over the parametric method when there is no information about the shape of the random effect parameter distribution. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03610918
- Volume :
- 47
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Communications in Statistics: Simulation & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 126995407
- Full Text :
- https://doi.org/10.1080/03610918.2016.1186183