The combinatorics and extreme value statistics of protein threading

DOI10.1007/BF01609878zbMath0953.92015MaRDI QIDQ1306747

Aron Marchler-Bauer, John L. Spouge, Stephen Bryant

Publication date: 29 January 2001

Published in: Annals of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

extreme value statisticsPoisson clumping heuristicprotein threadingprobabilities related to uniform distributions

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Statistics of extreme values; tail inference (62G32) Biochemistry, molecular biology (92C40)

Uses Software

• BLAST

Cites Work

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• Extremal theory for stochastic processes
• Two moments suffice for Poisson approximations: The Chen-Stein method
• Probability approximations via the Poisson clumping heuristic
• Accurate Monte Carlo estimation of very small \(p\)-values in Markov chains
• Limit distribution of maximal non-aligned two-sequence segmental score
• Methods for assessing the statistical significance of molecular sequence features by using general scoring schemes.
• Limit distributions of maximal segmental score among Markov-dependent partial sums

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