A two-state Markov mixture model for a time series of epileptic seizure counts
Affiliations
- PMID: 1786324
Item in Clipboard
A two-state Markov mixture model for a time series of epileptic seizure counts
Biometrics.
1991 Dec.
Abstract
This paper discusses a model for a time series of epileptic seizure counts in which the mean of a Poisson distribution changes according to an underlying two-state Markov chain. The EM algorithm (Dempster, Laird, and Rubin, 1977, Journal of the Royal Statistical Society, Series B 39, 1-38) is used to compute maximum likelihood estimators for the parameters of this two-state mixture model and extensions are made allowing for nonstationarity. The model is illustrated using daily seizure counts for patients with intractable epilepsy and results are compared with a simple Poisson distribution and Poisson regressions. Some simulation results are also presented to demonstrate the feasibility of this model.
Similar articles
-
Exact likelihood evaluation in a Markov mixture model for time series of seizure counts.Biometrics. 1992 Mar;48(1):317-23. Biometrics. 1992. PMID: 1581489
-
Markov regression models for time series: a quasi-likelihood approach.Biometrics. 1988 Dec;44(4):1019-31. Biometrics. 1988. PMID: 3148334
-
Analysis of overdispersed count data by mixtures of Poisson variables and Poisson processes.Biometrics. 1997 Dec;53(4):1225-38. Biometrics. 1997. PMID: 9423246
-
On the EM algorithm for overdispersed count data.Stat Methods Med Res. 1997 Mar;6(1):76-98. doi: 10.1177/096228029700600106. Stat Methods Med Res. 1997. PMID: 9185291 Review.
-
An overview on the distribution of word counts in Markov chains.J Comput Biol. 2000 Feb-Apr;7(1-2):193-201. doi: 10.1089/10665270050081469. J Comput Biol. 2000. PMID: 10890396 Review.
Cited by
-
A hidden Markov model approach to neuron firing patterns.Biophys J. 1996 Nov;71(5):2404-12. doi: 10.1016/S0006-3495(96)79434-1. Biophys J. 1996. PMID: 8913581 Free PMC article.
-
Proposing a two-level stochastic model for epileptic seizure genesis.J Comput Neurosci. 2014 Feb;36(1):39-53. doi: 10.1007/s10827-013-0457-5. Epub 2013 Jun 4. J Comput Neurosci. 2014. PMID: 23733322
-
Computational modeling of epilepsy for an experimental neurologist.Exp Neurol. 2013 Jun;244:75-86. doi: 10.1016/j.expneurol.2012.05.003. Epub 2012 May 14. Exp Neurol. 2013. PMID: 22617489 Free PMC article. Review.
-
A stochastic framework for evaluating seizure prediction algorithms using hidden Markov models.J Neurophysiol. 2007 Mar;97(3):2525-32. doi: 10.1152/jn.00190.2006. Epub 2006 Oct 4. J Neurophysiol. 2007. PMID: 17021032 Free PMC article.
-
Seizure Prediction 6: [LINE SEPARATOR]From Mechanisms to Engineered Interventions for Epilepsy.J Clin Neurophysiol. 2015 Jun;32(3):181-7. doi: 10.1097/WNP.0000000000000184. J Clin Neurophysiol. 2015. PMID: 26035671 Free PMC article. No abstract available.