Local alignment of Markov chains

DOI10.1214/105051606000000321zbMath1113.60054arXivmath/0610187OpenAlexW2151105106MaRDI QIDQ862205

Niels Richard Hansen

Publication date: 5 February 2007

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610187

zbMATH Keywords

large deviationsextreme value theoryPoisson approximationMarkov additive processeslocal alignmentChen-Stein method

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Large deviations (60F10)

Related Items (6)

Matching with shift for one-dimensional Gibbs measures ⋮ Estimates of accuracy of the Poisson approximation for the distribution of number of runs of long string repetitions in a Markov chain ⋮ Optimal alignments of longest common subsequences and their path properties ⋮ Многократные повторения длинных цепочек в конечной цепи Маркова ⋮ The maximum of a random walk reflected at a general barrier ⋮ Compound Poisson approximation for regularly varying fields with application to sequence alignment

Cites Work

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• Limit distribution of maximal non-aligned two-sequence segmental score
• A CONVEXITY PROPERTY OF POSITIVE MATRICES
• Limit distributions of maximal segmental score among Markov-dependent partial sums
• Applied Probability and Queues
• Large deviations

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