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Two‐state mixed renewal processes for chronic disease
Author(s) -
Cook Richard J.,
Ng Edmund T. M.,
Mukherjee Jayanti,
Vaughan David
Publication year - 1999
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/(sici)1097-0258(19990130)18:2<175::aid-sim997>3.0.co;2-b
Subject(s) - bivariate analysis , chronic bronchitis , weibull distribution , subject (documents) , econometrics , computer science , mixed model , chronic disease , statistics , mathematics , medicine , intensive care medicine , library science
We develop a model based on a two‐state mixed renewal process and propose its use for modelling disease activity in studies of chronic conditions. We specify Weibull forms for the conditional transition intensities to allow for time trends, and bivariate frailties to accommodate subject‐to‐subject variability in the disease process. Extensions of this model are considered for stratified analyses in which strata are defined by the number of past exacerbations. Data from a motivating study of chronic bronchitis are analysed to illustrate the methodology. Copyright © 1999 John Wiley & Sons Ltd.