An improved approximation for assessing the statistical significance of molecular sequence features

DOI10.1239/jap/1053003554zbMath1033.60058MaRDI QIDQ4435685

Dominique Cellier, D. Charlot, Sabine Mercier

Publication date: 17 November 2003

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

Full work available at URL: https://semanticscholar.org/paper/8c0fcb7b916e3105f863f1d40d0c02216d109391

zbMATH Keywords

asymptoticsapplicationspartial sumsmaximumexact distribution

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50)

Related Items (2)

Duality between the local score of one sequence and constrained hidden Markov model ⋮ Improvements on the distribution of maximal segmental scores in a Markovian sequence

Cites Work

• The Erdős-Rényi law in distribution, for coin tossing and sequence matching
• Statistical composition of high-scoring segments from molecular sequences
• Two moments suffice for Poisson approximations: The Chen-Stein method
• Strong limit theorems of empirical functionals for large exceedances of partial sums of i.i.d. variables
• A phase transition for the score in matching random sequences allowing deletions
• Limit distribution of maximal non-aligned two-sequence segmental score
• A limit theorem for matching random sequences allowing deletions
• 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
• Biological Sequence Analysis
• Distribution exacte du score local d'une suite de variables indépendentes et identiquement distribuées
• Extreme Values in the GI/G/1 Queue
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