Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第30回ISCIE「確率システム理論と応用」国際シンポジウム(1998年11月, 京都)
An Improvement of the Nonparametric Repair-Limit Replacement Method by a Cubic Spline Approximation
T. DohiH. NagaiN. KaioS. Osaki
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1999 年 1999 巻 p. 93-98

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In this article, we consider a nonparametric repair-limit replacement (RLR) problem based on the scaled total time on test (TTT) statistics. It should be noted that the estimation procedure for the optimal repair-time limit via the scaled TTT statistics is made on the graph, but is not always stable when the sample size of repair time is small. In order to overcome this problem, we estimate the optimal repair-time limit on an approximated scaled TTT curve. In other words, we apply a smoothing technique based on the natural cubic spline function to interpolate the scaled TTT curve.
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© 1999 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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