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Abstract Details
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Activity Number:
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237
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Type:
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Contributed
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Date/Time:
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Monday, August 1, 2011 : 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 - #300830 |
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Title:
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Novel Maximum Spacing for Point Estimates from a Semiparametric Ratio Estimator: With Application to Survival in Prostate Cancer
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Author(s):
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Deborah Weissman-Miller*+
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Companies:
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Brenau University
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Address:
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500 Washington Street, SE, Gainesville, GA, 30501,
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Keywords:
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Spacing estimator ;
semiparametric ratio estimator ;
change point ;
clinical trial ;
prostate cancer
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Abstract:
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Prostate cancer is a condition of public health significance in the United States. A novel maximum spacing derivation is introduced to determine the maximum time intervals between point estimates for a new semiparametric ratio estimator to predict survival in response to treatment for prostate cancer. A maximum spacing estimation method is derived from a univariate distribution where spacing will be defined as gaps between ordered values of the distribution function. The spacing estimator uses the geometric mean of sample spacings from a uniform distribution U(a,b) with one known endpoint given as a change point derived from the highest or lowest F statistic from a linear regression for the semiparametric ratio estimator. The maximum is defined as a single value in the neighborhood of the change point and the spacing defined as a function of time. This maximum spacing then defines the ga
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