Proportional exponentiated link transformed hazards (ELTH) models for discrete time survival data with application

Hee Koung Joeng, Ming Hui Chen, Sangwook Kang

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Discrete survival data are routinely encountered in many fields of study including behavior science, economics, epidemiology, medicine, and social science. In this paper, we develop a class of proportional exponentiated link transformed hazards (ELTH) models. We carry out a detailed examination of the role of links in fitting discrete survival data and estimating regression coefficients. Several interesting results are established regarding the choice of links and baseline hazards. We also characterize the conditions for improper survival functions and the conditions for existence of the maximum likelihood estimates under the proposed ELTH models. An extensive simulation study is conducted to examine the empirical performance of the parameter estimates under the Cox proportional hazards model by treating discrete survival times as continuous survival times, and the model comparison criteria, AIC and BIC, in determining links and baseline hazards. A SEER breast cancer dataset is analyzed in details to further demonstrate the proposed methodology.

Original languageEnglish
Pages (from-to)38-62
Number of pages25
JournalLifetime Data Analysis
Volume22
Issue number1
DOIs
Publication statusPublished - 2016 Jan 1

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Hazard Models
Discrete Data
Survival Data
Survival Time
Proportional Hazards Models
Hazard
Baseline
Hazards
Discrete-time
Directly proportional
imidazole mustard
Cox Proportional Hazards Model
Model Comparison
Survival Function
Epidemiology
Social Sciences
Regression Coefficient
Maximum Likelihood Estimate
Breast Cancer
Medicine

All Science Journal Classification (ASJC) codes

  • Medicine(all)
  • Applied Mathematics

Cite this

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Proportional exponentiated link transformed hazards (ELTH) models for discrete time survival data with application. / Joeng, Hee Koung; Chen, Ming Hui; Kang, Sangwook.

In: Lifetime Data Analysis, Vol. 22, No. 1, 01.01.2016, p. 38-62.

Research output: Contribution to journalArticle

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