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Unified Methods for Censored Longitudinal Data and Causality

  • Mark J. van der Laan
  • James M. Robins

Part of the Springer Series in Statistics book series (SSS)

Table of contents

  1. Front Matter
    Pages i-7
  2. Mark J. van der Laan, James M. Robins
    Pages 8-101
  3. Mark J. van der Laan, James M. Robins
    Pages 102-171
  4. Mark J. van der Laan, James M. Robins
    Pages 172-231
  5. Mark J. van der Laan, James M. Robins
    Pages 232-265
  6. Mark J. van der Laan, James M. Robins
    Pages 266-310
  7. Mark J. van der Laan, James M. Robins
    Pages 311-370
  8. Back Matter
    Pages 371-399

About this book

Introduction

During the last decades, there has been an explosion in computation and information technology. This development comes with an expansion of complex observational studies and clinical trials in a variety of fields such as medicine, biology, epidemiology, sociology, and economics among many others, which involve collection of large amounts of data on subjects or organisms over time. The goal of such studies can be formulated as estimation of a finite dimensional parameter of the population distribution corresponding to the observed time- dependent process. Such estimation problems arise in survival analysis, causal inference and regression analysis. This book provides a fundamental statistical framework for the analysis of complex longitudinal data. It provides the first comprehensive description of optimal estimation techniques based on time-dependent data structures subject to informative censoring and treatment assignment in so called semiparametric models. Semiparametric models are particularly attractive since they allow the presence of large unmodeled nuisance parameters. These techniques include estimation of regression parameters in the familiar (multivariate) generalized linear regression and multiplicative intensity models. They go beyond standard statistical approaches by incorporating all the observed data to allow for informative censoring, to obtain maximal efficiency, and by developing estimators of causal effects. It can be used to teach masters and Ph.D. students in biostatistics and statistics and is suitable for researchers in statistics with a strong interest in the analysis of complex longitudinal data. 

Keywords

Censoring Computerassistierte Detektion Estimator Maxima Radiologieinformationssystem Regression analysis Survival analysis data analysis linear regression statistics

Authors and affiliations

  • Mark J. van der Laan
    • 1
  • James M. Robins
    • 2
  1. 1.Department of BiostatisticsUniversity of CaliforniaBerkeleyUSA
  2. 2.Department of EpidemiologyHarvard School of Public HealthBostonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-21700-0
  • Copyright Information Springer-Verlag New York 2003
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3055-2
  • Online ISBN 978-0-387-21700-0
  • Series Print ISSN 0172-7397
  • Buy this book on publisher's site