Statistical analysis of high-order Markov dependencies

  • Yu S.. Kharin Belarusian State University, Department of Mathematical Modeling and Data Analysis, Independence Av. 4, Minsk
  • M. V. Maltsew Belarusian State University, Department of Mathematical Modeling and Data Analysis, Independence Av. 4, Minsk
Keywords: high-order Markov chain, parsimonious model, estimator, statistical test

Abstract

The paper deals with parsimonious models of integer valued time series. Such models are special cases of high-order Markov chain with a small number of parameters. Two new parsimonious models are presented. The first is Markov chain of order s with r partial connections, and the second model is called Markov chain of conditional order. Theoretical results on probabilistic properties and statistical inferences for these models are given.

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Published
2017-07-03
Section
Articles