The asymptotic distribution of a cluster-index for i.i.d. normal random variables

DOI10.1214/08-AAP553zbMath1166.60030arXiv0906.2334MaRDI QIDQ1024893

Yannis G. Yatracos

Publication date: 17 June 2009

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

Full work available at URL: https://arxiv.org/abs/0906.2334

zbMATH Keywords

extreme valuesspacingsGumbel distribution

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70)

Related Items (1)

Detecting clusters in the data from variance decompositions of its projections

Cites Work

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• Strong limit theorems for maximal spacings from a general univariate distribution
• Laws of the iterated logarithm for order statistics of uniform spacings
• A log log law for maximal uniform spacings
• Strong limiting bounds for maximal uniform spacings
• Asymptotics of graphical projection pursuit
• Approximation Theorems of Mathematical Statistics
• The limiting behaviour of the maximal spacing generated by an i.i.d. sequence of Gaussian random variables
• Upper bounds for k-th maximal spacings
• Entropy and maximal spacings for random partitions
• Variance and clustering
• Order Statistics

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