\(r\)-scan statistics of a marker array in multiple sequences derived from a common progenitor.

DOI10.1214/AOAP/1019487507zbMath1084.92506OpenAlexW2039244956MaRDI QIDQ1872487

Chingfer Chen, Samuel Karlin

Publication date: 6 May 2003

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

Full work available at URL: https://projecteuclid.org/euclid.aoap/1019487507

zbMATH Keywords

asymptotic distributionsPoisson processestotal variation distanceChen-Stein Poisson approximationr-scan statistics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Problems related to evolution (92D15) Signal detection and filtering (aspects of stochastic processes) (60G35) Biochemistry, molecular biology (92C40)

Related Items (1)

Approximating dependent rare events

Cites Work

• Two moments suffice for Poisson approximations: The Chen-Stein method
• Poisson approximations for \(r\)-scan processes
• Compound Poisson approximation for nonnegative random variables via Stein's method
• Poisson approximation for dependent trials
• Approximations for Distributions of Scan Statistics
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