Statistical multiplexing of VBR sources: a matrix-analytic approach
Performance Evaluation - Special issue on performance modeling of high speed telecommunication systems
A unified approach to word occurrence probabilities
Discrete Applied Mathematics - Special volume on combinatorial molecular biology
Poisson Approximation for the Non-Overlapping Appearances of Several Words in Markov Chains
Combinatorics, Probability and Computing
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The theory of the discrete-time Markovian arrival process (DMAP) can be applied to some statistical problems encountered when searching for multiple words in a Markov sequence. Such word searches are often emphasized in studies of the human genome. There are several advantages to the DMAP approach we present. Most notably, its derivations are transparent, and they readily unify disparate results about the exact distributions of overlapping and nonoverlapping word counts. We also present several examples and applications of our theory, including a numerical study using a random DNA dataset from the human genome.