Empirical likelihood inference for survival rate regression with missing information principle

• Autorzy: Zhao Y.
• Języki publikacji: EN

Abstrakty

EN

Recently, regression model for the long-term survival probabilities of patients was proposed, and a semiparametric inference procedure was developed based on missing information principle. In this paper, we propose an alternative empirical likelihood method. First, we define an estimated empirical likelihood ratio for the regression parameter. The limiting distribution of the empirical likelihood ratio is shown to have a weighted sum of i.i.d. χ²₁ ’s. We also define an adjusted empirical likelihood ratio for the regression parameter and the adjusted empirical likelihood ratio is shown to have a central chi-squared limiting distribution. Confidence regions for the vector of regression parameter are obtained accordingly. Furthermore, an extensive simulation study is conducted and it shows the proposed method has better coverage probability. Finally, we use a real data set to illustrate our proposed method.

Słowa kluczowe

EN

confidence region; conditional Kaplan-Meier estimator; link function; right censoring

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2009
• Tom: Vol. 29, Fasc. 1
• Strony: 73--89
• Opis fizyczny: Bibliogr. 36 poz., tab.

Twórcy

autor

Zhao Y.

• Department of Mathematics and Statistics, Georgia State University, 30 Pryor Street, Atlanta, GA 30303, USA

Bibliografia

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