ESTIMATION FROM PSEUDO PARTIAL LIKELIHOOD IN A SEMIPARAMETRIC CURE MODEL

• SUGIMOTO Tomoyuki

  Department of Biomedical Statistics, Graduate School of Medicine, Osaka University

• HAMASAKI Toshimitsu

  Department of Biomedical Statistics, Graduate School of Medicine, Osaka University

• GOTO Masashi

  Biostatistical Research Association

Abstract

We consider a cure model identical to one discussed by Kuk and Chen (1992), Sy and Taylor (2000) and Peng and Dear (2000). The feature of this model is that one uses the logistic regression model for the cure rate and Cox's proportional hazards model for the latent distribution. We propose a new semiparametric estimation method in this model using a criterion named the pseudo partial likelihood. Simulation studies show that the proposed method is appropriate for practical use, compared with semiparametric estimation via the EM algorithm. An application to data from a breast cancer with three treatment arms of adjuvant therapy is given to illustrate the aspect of the proposed method.

Journal

• Journal of the Japanese Society of Computational Statistics

  Journal of the Japanese Society of Computational Statistics 18 (1), 33-46, 2005-12-01

  Japanese Society of Computational Statistics

Keywords

• Cox's proportional hazards model
• Cured individual
• Logistic model
• Martingale

Details

• CRID: 1573105976772331136
• NII Article ID: 110004717661
• NII Book ID: AA10823693
• ISSN: 09152350
• Text Lang: en
• Data Source:
  • CiNii Articles