Conditional exact tests for Markovianity and reversibility in multiple categorical sequences

• Autores: Davide Di Cecco
• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 21, Nº. 1, 2012, págs. 170-187
• Idioma: inglés
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• Resumen

  • We propose conditional exact tests based on sufficient statistics to compare exchangeability, Markov exchangeability, and Markov exchangeability of the reversible type, when data consist of several sequences of categorical data. As particular cases, we can compare three classes of mixture models (mixtures of i.i.d. sequences, mixtures of Markov chains and of reversible Markov chains) and we can test Markovianity and reversibility of a single sequence.