Markov models for covariate dependence of binary sequences

LR Muenz, LV Rubinstein - Biometrics, 1985 - JSTOR
Suppose that a heterogeneous group of individuals is followed over time and that each
individual can be in state 0 or state 1 at each time point. The sequence of states is assumed …

Covariate adjustment of event histories estimated from Markov chains: the additive approach

OO Aalen, Ø Borgan, H Fekjær - Biometrics, 2001 - Wiley Online Library
Markov chain models are frequently used for studying event histories that include transitions
between several states. An empirical transition matrix for nonhomogeneous Markov chains …

Logistic regression for autocorrelated data with application to repeated measures

A Azzalini - Biometrika, 1994 - academic.oup.com
Abstract SUMMARY A stochastic model is proposed for the study of the influence of time-
dependent covariates on the marginal distribution of the binary response in serially …

[HTML][HTML] A higher order Markov model for analyzing covariate dependence

MA Islam, RI Chowdhury - Applied Mathematical Modelling, 2006 - Elsevier
During the recent past, there has been a renewed interest in Markov chain for its attractive
properties for analyzing real life data emerging from time series or longitudinal data in …

Estimation in Markov models from aggregate data

JD Kalbfleisch, JF Lawless, WM Vollmer - Biometrics, 1983 - JSTOR
In this paper, situations in which individuals move through a finite set of states according to a
continuous-time Markov process are considered. Only aggregate data are available: these …

The information in aggregate data from Markov chains

JF Lawless, DL McLeish - Biometrika, 1984 - academic.oup.com
Estimation in Markov chains from aggregate data is discussed. The information about
different aspects of a chain, such as individual transition probabilities, the equilibrium …

A two‐state Markov chain for heterogeneous transitional data: a quasi‐likelihood approach

PS Albert, MA Waclawiw - Statistics in Medicine, 1998 - Wiley Online Library
Many chronic diseases are measured by repeated binary data where the scientific interest is
on the transition process between two states of disease activity. Examples include …

Least‐squares estimation of transition probabilities from aggregate data

JD Kalbfleisch, JF Lawless - Canadian Journal of Statistics, 1984 - Wiley Online Library
Consider a population of n individuals that move independently among a finite set {1, 2,……,
k} of states in a sequence of trials. t= 0. 1, 2,…, m. each according to a Markov chain with …

Statistical inference regarding Markov chain models

C Chatfield - Journal of the Royal Statistical Society: Series C …, 1973 - Wiley Online Library
The paper reviews different techniques for examining sequential dependencies in a series
of observations each of which can have c possible outcomes. The relationship between the …

A piecewise Markov process for analysing survival from breast cancer in different risk groups

R Pérez‐Ocón, JE Ruiz‐Castro… - Statistics in …, 2001 - Wiley Online Library
A study of the relapse and survival times for 300 breast cancer patients submitted to post‐
surgical treatments is presented. After surgery, these patients were given three treatments …