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Activity Number: 103
Type: Contributed
Date/Time: Monday, July 30, 2007 : 8:30 AM to 10:20 AM
Sponsor: Biometrics Section
Abstract - #308897
Title: Minimum Distance Estimation in Two-Sample Scale Problem Under the Partial Koziol-Green Model
Author(s): Ke Wu*+
Companies: California State University, Fresno
Address: Department of Mathematics, Fresno, CA, 93740,
Keywords: minimum distance estimation ; partial Koziol-Green model ; partial ACL estimator ; scale estimation ; asymptotic properties ; random censorship
Abstract:

This paper considers some Cramer-Von Mises type minimum distance estimators of scale parameter in the two-sample scale problem with randomly right censored data under the partial Koziol-Green (PKG) model. In our minimum distance estimator of scale parameter, the partial ACL estimator for the survival function under the PKG model of random censorship is used. The paper proves the asymptotic normality and consistency of the minimum distance estimator. A comparison of the estimator using the partial ACL estimator of survival function and the estimator of Koul and Yang (1989) using the product limit estimator (PLE) of Kaplan and Meier (1958) for the general right censoring model is made under the PKG model.


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