r-scan statistics of a Poisson process with events transformed by duplications, deletions, and displacements

DOI10.1239/AAP/1189518639zbMath1142.60037OpenAlexW2067454221MaRDI QIDQ5426470

Chingfer Chen, Samuel Karlin

Publication date: 12 November 2007

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

Full work available at URL: https://doi.org/10.1239/aap/1189518639

zbMATH Keywords

Poisson approximationChen-Stein methodMarker arrayr-scan statistic

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (1)

New maximal inequalities for N-demimartingales with scan statistic applications

Cites Work

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• Two moments suffice for Poisson approximations: The Chen-Stein method
• Poisson approximations for \(r\)-scan processes
• Poisson approximation for dependent trials
• Approximations for Distributions of Scan Statistics
• Scan statistics

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