• Title/Summary/Keyword: Wilcoxon-Mann-Whitney Estimator

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Nonparametric Estimation of Reliability in Time Dependent Strength-Stress Model

  • Lee, Hyun-Woo;Na, Myung-Hwan
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.1
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    • pp.111-118
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    • 1999
  • We treat the problem of estimating reliability R(t) = P[Y(t) < X(t)] in the time dependent strength-stress model in which a unit of strength X(t) is subjected to environmental stress Y(t) at time t. In this paper two nonparametric approaches to estimate of R(t) are analyzed and compared with parametric method by simulation.

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A Study on the Time Dependent Strength-Stress Model with Fixed Strength Case (시간에 종속되는 스트렝스-스트레스 모형연구 - 스트렝스가 변하지 않는 경우 -)

  • Lee, Hyunwoo;Kim, Jae Joo
    • Journal of Korean Society for Quality Management
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    • v.24 no.3
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    • pp.19-30
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    • 1996
  • We treat problems of estimating reliability R(t) = P[Y(t) > X(t)] in the time dependent strength-stress model in which a unit of stress X(t) is subjected to environmental strength Y(t) at time t. In this paper we introduce a special model of R(t) with fixed strength and unaccumulated stress case, and propose a Mann-Whitney-Wilcoxon type estimator of R(t).

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