Gaussian limits for generalized spacings


Baryshnikov, Y., Penrose, M. D. and Yukich, J. E., 2009. Gaussian limits for generalized spacings. Annals of Applied Probability, 19 (1), pp. 158-185.

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Nearest neighbor cells in Rd, d∈ℕ, are used to define coefficients of divergence (φ-divergences) between continuous multivariate samples. For large sample sizes, such distances are shown to be asymptotically normal with a variance depending on the underlying point density. In d=1, this extends classical central limit theory for sum functions of spacings. The general results yield central limit theorems for logarithmic k-spacings, information gain, log-likelihood ratios and the number of pairs of sample points within a fixed distance of each other.


Item Type Articles
CreatorsBaryshnikov, Y., Penrose, M. D. and Yukich, J. E.
Uncontrolled Keywordsφ-divergence,logarithmic spacings,log-likelihood,central limit theorems,spacing statistics,information gain
DepartmentsFaculty of Science > Mathematical Sciences
ID Code13846


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