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Activity Number:
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370
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Type:
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Contributed
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Date/Time:
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Tuesday, August 4, 2009 : 2:00 PM to 3:50 PM
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Sponsor:
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Section on Nonparametric Statistics
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| Abstract - #304995 |
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Title:
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Testing for Shape-Restricted Hazard Function Using Resampling Techniques
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Author(s):
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Desale Habtzghi*+ and Somnath Datta and Mary C. Meyer
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Companies:
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University of Akron and University of Louisville and Colorado State University
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Address:
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Department of Statistics, Akron, OH, 44325-0002,
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Keywords:
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Montone hazard ; convex hazard ; shape restricted estimator ; resampling ; resampling
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Abstract:
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We consider testing the hypothesis that the lifetimes come from a population with a parametric hazard rate, such as Weibull against a shape restricted alternative, which comprises a broad range of hazard rate shapes, such as convex, concave or increasing. The alternative is appropriate when the shape of hazard function is not constant and monotone. We compare the hazard function estimates obtained under shape restriction with its parametric counterpart using log rank and Kolmogorov's goodness-of-fit. We use appropriate resampling based computation to conduct our tests since the asymptotic distributions of the test statistics in these problems are largely intractable. We evaluate the performance of our approach via simulation studies and illustrate it on some real data sets.
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