Statistical Modelling of Survival Data with Random Effects

H-Likelihood Approach

  • Il Do Ha
  • Jong-Hyeon Jeong
  • Youngjo Lee

Part of the Statistics for Biology and Health book series (SBH)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee
    Pages 1-5
  3. Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee
    Pages 7-36
  4. Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee
    Pages 37-65
  5. Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee
    Pages 67-104
  6. Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee
    Pages 105-123
  7. Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee
    Pages 125-171
  8. Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee
    Pages 173-197
  9. Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee
    Pages 199-227
  10. Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee
    Pages 229-243
  11. Il Do Ha, Jong-Hyeon Jeong, Youngjo Lee
    Pages 245-260
  12. Back Matter
    Pages 261-283

About this book

Introduction

This book provides a groundbreaking introduction to the likelihood inference for correlated survival data via the hierarchical (or h-) likelihood in order to obtain the (marginal) likelihood and to address the computational difficulties in inferences and extensions. The approach presented in the book overcomes shortcomings in the traditional likelihood-based methods for clustered survival data such as intractable integration. The text includes technical materials such as derivations and proofs in each chapter, as well as recently developed software programs in R (“frailtyHL”), while the real-world data examples together with an R package, “frailtyHL” in CRAN, provide readers with useful hands-on tools. Reviewing new developments since the introduction of the h-likelihood to survival analysis (methods for interval estimation of the individual frailty and for variable selection of the fixed effects in the general class of frailty models) and guiding future directions, the book is of interest to researchers in medical and genetics fields, graduate students, and PhD (bio) statisticians.      

Keywords

Accelerated Failure Time Models Basic Likelihood Inference Classical Survival Analysis in Statistics Comparison of H-and Marginal likelihoods Correlated Frailties Correlated Survival Data Cox-PH Models Dispersion Frailty Models Extension of Inferential Procedures Frailty Models for Interval-Censored Data Frailty modelling for Missing Cause of Failure Genetic Mixed Models under LTRC Hazard and Survival Function Joint Survival Models Mixed linear Models with Censoring Mixed-Effect Survival Models Multi-Component Frailty Models Multilevel (Nested) Frailties Multilevel Mixed Models with Censoring Non-PH Frailty Models

Authors and affiliations

  • Il Do Ha
    • 1
  • Jong-Hyeon Jeong
    • 2
  • Youngjo Lee
    • 3
  1. 1.Department of StatisticsPukyong National UniversityBusanKorea (Republic of)
  2. 2.Department of BiostatisticsUniversity of PittsburghPittsburghUSA
  3. 3.Department of StatisticsSeoul National UniversitySeoulKorea (Republic of)

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-6557-6
  • Copyright Information Springer Nature Singapore Pte Ltd. 2017
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-10-6555-2
  • Online ISBN 978-981-10-6557-6
  • Series Print ISSN 1431-8776
  • Series Online ISSN 2197-5671
  • About this book