Exploratory CART for Semi-Markov Models,

Abstract

INITIALLY This paper describes a nonparametric application of CART (Breiman et al., 1984) to semi-Markov models, to provide a nonparametric regression analysis of transition data. Modeling data without any assumptions about the nature of the underlying distributions is needed for investigating predictor effects in an exploratory analysis. The semi-Markov assumption specifies a structure for the transition process, which is characterized by the one-step transition distributions. The nonparametric regression is done on these distributions. For each one-step transition distribution, the recursive partitioning of the variable space allows greater interpretability of the data by splitting the data into homogeneous subpopulations, and by providing insight into the relative importance of the different predictors, and the way in which they interact. This method is then applied to modeling payment source changes of nursing home residents.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1992
Accession Number
ADP007167

Entities

People

  • Orna Intrator

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Computer Science
  • Computing-Related Activities
  • Data Science
  • Engineering
  • Information Science
  • Interdisciplinary Science
  • Markov Models
  • Mathematical Analysis
  • Mathematics
  • Models
  • Regression Analysis
  • Statistical Analysis
  • Statistics
  • Theoretical Computer Science
  • Transitions

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.

Technology Areas

  • Space