Approximations for a conditional two-dimensional scan statistic.

DOI10.1016/S0167-7152(02)00122-0zbMath1045.62011OpenAlexW1997808064MaRDI QIDQ1871231

Joseph Glaz, Jie Chen

Publication date: 7 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(02)00122-0

zbMATH Keywords

Poisson approximationsCompound Poisson approximationMoving window detectionProduct-type approximationsTesting for randomness in two dimensions

Mathematics Subject Classification ID

Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (3)

A generator for explicit univariate lower bounds ⋮ Maximum scan score-type statistics ⋮ Variable Window Scan Statistics for Normal Data

Uses Software

• AS 159

Cites Work

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• Algorithm AS 159: An Efficient Method of Generating Random R × C Tables with Given Row and Column Totals
• Tight bounds and approximations for scan statistic probabilities for discrete data
• Poisson approximations for 2-dimensional patterns
• Stein's method for compound Poisson approximation: The local approach
• Two-dimensional discrete scan statistics
• Matching fixed rectangles in 2-dimension
• Extreme Value Distribution for the Largest Cube in a Random Lattice
• Reliability and design of 2-dimensional consecutive-k-out-of-n systems
• Reliability of 2-dimensional consecutive-k-out-of-n:F systems
• Generalized reliability bounds for coherent structures
• Compound poisson approximation in systems reliability
• Two-dimensional consecutive-k-out-of-n:F models
• Reliability approximation for Markov chain imbeddable systems

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