A higher order Markov model for analyzing covariate dependence

DOI10.1016/j.apm.2005.05.006zbMath1187.62136OpenAlexW2075696729MaRDI QIDQ1031632

M. Ataharul Islam, Rafiqul Islam Chowdhury

Publication date: 30 October 2009

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2005.05.006

zbMATH Keywords

repeated measureslogistic regressionMarkov modelbinary outcomehigher order Markov chain

Mathematics Subject Classification ID

Applications of statistics to environmental and related topics (62P12) Markov processes: estimation; hidden Markov models (62M05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Markov processes: hypothesis testing (62M02)

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Cites Work

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• Marginalized Transition Models and Likelihood Inference for Longitudinal Categorical Data
• The mixture transition distribution model for high-order Markov chains and non-Gaussian time series
• The Analysis of Panel Data Under a Markov Assumption
• Finite Continuous Time Markov Chains
• An autoregressive model for multilag Markov chains
• Regression Analysis of Grouped Survival Data with Application to Breast Cancer Data
• Logistic regression for autocorrelated data with application to repeated measures
• Estimation and Modelling Repeated Patterns in High Order Markov Chains with the Mixture Transition Distribution Model
• A Markov Model for Sequences of Ordinal Data from a Relapsing-Remitting Disease
• A Two-State Markov Model for Behavioral Change