课程通知 | 短课程-高等生存分析 (Part II)

时间:2017-11-24浏览:347设置

短课程-高等生存分析 (Part II)

124日上午 9:00—11:30, 125日下午1:00—4:00, 统计楼105

Menggang Yu

Professor, Department of Biostatistics and Medical Informatics, University of Wisconsin


Course Description

Part I: This course will cover the standard statistical methods in survival analysis, including the Nelson-Aalen estimator of the cumulative hazard function, the Kaplan-Meier estimator of the survivor function, the weighted logrank statistics, and the Cox proportional hazards regression model.


第一部分视频链接: https://pan.baidu.com/s/1o8cbxXo 密码: tqq2


Part II: This course will cover the martingale theory and its application in counting process approach to survival analysis. In particular, counting process will be used to establish the asymptotic theory of the estimators discussed in Part I.

 

The course is designed for Biostatistics Ph.D. students in their 2nd year or beyond. 


Prerequisites

Regression Model and Statistical Inference.


Textbooks:

Recommended:

The Statistical Analysis of Failure Time Data, 2nd Ed., by J. D. Kalbfleisch and R.L. Prentice, Wiley (2002).  ISBN-10: 047136357X; ISBN-13: 978-0471363576.


Course content and format:

The following topics will be covered.


  1. Discrete martingale, Martingale transformation, and continuous martingale (2.5 hours)

  2. Counting process (1 hour)

  3. Asymptotics for Nelson-Aalen and Kaplan Meier estimators (1 hour)

  4. Asymptotics for the Cox model (1 hour)


本课程获华东师范大学海外高层次专家项目资助


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