The Analysis of Panel Data Under a Markov Assumption
提出了在连续时间马尔可夫模型下分析面板数据的方法,包括最大似然估计、协方差分析及非齐次模型拟合,并以学生吸烟习惯的纵向研究为例。
Abstract Methods for the analysis of panel data under a continuous-time Markov model are proposed. We present procedures for obtaining maximum likelihood estimates and associated asymptotic covariance matrices for transition intensity parameters in time homogeneous models, and for other process characteristics such as mean sojourn times and equilibrium distributions. Generalizations to handle covariance analysis and to the fitting of certain nonhomogeneous models are presented, and an example based on a longitudinal study of the smoking habits of school children is discussed. Questions of embeddability and estimation are examined. Key Words: Markov processesMaximum likelihood estimationRegression analysisLongitudinal dataEmbeddability