A study of Bathtub Type Hazard Function Estimation for Series System
碩士 === 輔仁大學 === 數學系研究所 === 95 === A three-parameter Exponentiated Weibull distribution EW(σ,α,θ)has a bathtub shape hazard function if α>1 and αθ<1. In this article, we propose a direct estimator and an indirect estimator of the (cumulative) hazard function of a series system by assuming that...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2005
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| Online Access: | http://ndltd.ncl.edu.tw/handle/03437301079302133433 |
| Summary: | 碩士 === 輔仁大學 === 數學系研究所 === 95 === A three-parameter Exponentiated Weibull distribution EW(σ,α,θ)has a bathtub shape hazard function if α>1 and αθ<1. In this article, we
propose a direct estimator and an indirect estimator of the (cumulative) hazard function of a series system by assuming that the independent components of the system are from such type of Exponentiated Weibull distributions. It is shown that the direct estimator is better than the indirect estimator in the sense of sample relative mean square error.
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