Extreme Value Distribution for the Largest Cube in a Random Lattice

DOI10.1137/0146010zbMath0658.60063OpenAlexW2072256918MaRDI QIDQ3806480

Richard W. R. Darling, Michael S. Waterman

Publication date: 1986

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2c3db087c38cd1761fbfaf87aadd31b11cfc9ae7

zbMATH Keywords

extreme value distributionrandom lattice

Mathematics Subject Classification ID

Distribution theory (60E99) Limit theorems in probability theory (60F99)

Related Items (12)

Two-dimensional discrete scan statistics ⋮ Scan statistic tail probability assessment based on process covariance and window size ⋮ Approximations for a three dimensional scan statistic ⋮ The largest square of successes covering the origin for Bernoulli trials on the lattice ⋮ On the length of the longest run in a multi-state Markov chain. ⋮ Approximations for two-dimensional discrete scan statistics in some block-factor type dependent models ⋮ Robust scan statistics for detecting a local change in population mean for normal data ⋮ Approximation for the distribution of three-dimensional discrete scan statistic ⋮ Scan statistics for normal data with outliers ⋮ Berry-Esseen bounds for combinatorial central limit theorems and pattern occurrences, using zero and size biasing ⋮ Variable Window Scan Statistics for Normal Data ⋮ Approximations for a conditional two-dimensional scan statistic.

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