New approximations for the distribution of the \(r\)-scan statistic

DOI10.1016/S0167-7152(99)00135-2zbMath0979.62004MaRDI QIDQ1970824

Xiaoping Su, Sylvan Wallenstein

Publication date: 4 February 2002

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

order statisticsspacingscompound Poisson approximationPolya-Aeppli distributiondeclumping

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (3)

New approximations for the distribution of the \(r\)-scan statistic ⋮ Scan statistics for monitoring data modeled by a negative binomial distribution ⋮ Nonoverlapping Clusters: Approximate Distribution and Application to Molecular Biology

Cites Work

• Probability approximations via the Poisson clumping heuristic
• Poisson approximations for \(r\)-scan processes
• Poisson approximation and the Chen-Stein method. With comments and a rejoinder by the authors
• New approximations for the distribution of the \(r\)-scan statistic
• Approximations for Distributions of Scan Statistics
• Compound poisson approximations for the numbers of extreme spacings
• Poisson approximations for the distribution and moments of ordered m-spacings
• On the Distributions of Scan Statistics of a Two-Dimensional Poisson Process
• Approximating the Distribution of the Scan Statistic Using Moments of the Number of Clumps
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