Editing Hidden Markov model (section)

=== Statistical significance ===
For some of the above problems, it may also be interesting to ask about [[statistical significance]]. What is the probability that a sequence drawn from some [[null distribution]] will have an HMM probability (in the case of the forward algorithm) or a maximum state sequence probability (in the case of the Viterbi algorithm) at least as large as that of a particular output sequence?<ref>{{Cite journal |last1=Newberg |first1=L. |doi=10.1186/1471-2105-10-212 |title=Error statistics of hidden Markov model and hidden Boltzmann model results |journal=BMC Bioinformatics |volume=10 |pages=212 |year=2009 |pmid=19589158 |pmc=2722652 |doi-access=free}} {{open access}}</ref>  When an HMM is used to evaluate the relevance of a hypothesis for a particular output sequence, the statistical significance indicates the [[false positive rate]] associated with failing to reject the hypothesis for the output sequence.