JSM 2004 - Toronto

Abstract #301280

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Activity Number: 341
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #301280
Title: Bayesian Nonparametric Inferences Based on Ranks
Author(s): Xiaojiang Zhan*+
Companies: Pennsylvania State University
Address: , , ,
Keywords: Bayesian nonparametric ; ranks ; location models ; regression models
Abstract:

We would like to explore how to implement the nonparametric procedures based on ranks in the Bayesian context. When prior information exists, it would be desirable to incorporate it in the data analysis, even when we are using rank-based nonparametric methods. We will begin with one sample location model and two sample location model where several common scores statistics are used, such as the sign statistic, the Wilcoxon signed rank statistic, the normal scores statistic in the one sample case and the Mann-Whitney-Wilcoxon statistic, the Mood's median statistic in the two sample case. Regression models (including the DOE models) are of primary interest in this paper. The estimation and model selection problems will be addressed.

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