Confidence intervals for hidden Markov model parameters

Ingmar Visser, Maartje E.J. Raijmakers, Peter Molenaar

Research output: Contribution to journalArticle

35 Scopus citations

Abstract

Three methods for computing confidence intervals (CIs) of hidden Markov model parameters are compared in the context of 'long' time series. T > 100, namely likelihood profiling, bootstrapping and CIs based on a finite-differences approximation to the Hessian. First it is shown that with 'long' time series computing the exact Hessian is not feasible. In simulation studies quadratic and cubic interpolation polynomials for the likelihood profiles are compared. Likelihood profiling and bootstrapping produce similar CIs, whereas the CIs from the finite-differences approximation of the Hessian are mostly too small.

Original languageEnglish (US)
Pages (from-to)317-327
Number of pages11
JournalBritish Journal of Mathematical and Statistical Psychology
Volume53
Issue number2
DOIs
StatePublished - Jan 1 2000

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Arts and Humanities (miscellaneous)
  • Psychology(all)

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