A functional central limit theorem for pattern frequencies in 2D samples enables nonparametric goodness-of-fit, two-sample, and symmetry tests for copulas, with bootstrap critical values and parametric examples.
Limits of permutation sequences
2 Pith papers cite this work. Polarity classification is still indexing.
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Superlinear approximation of permutons by permutations occurs only when the permuton is supported on the graph of a measure-preserving function, with local regularity controlling the rate; the biased Brownian separable permuton has a positive lower bound on approximation error almost surely.
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Pattern-based tests for two-dimensional copulas
A functional central limit theorem for pattern frequencies in 2D samples enables nonparametric goodness-of-fit, two-sample, and symmetry tests for copulas, with bootstrap critical values and parametric examples.
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On the approximation of permutons
Superlinear approximation of permutons by permutations occurs only when the permuton is supported on the graph of a measure-preserving function, with local regularity controlling the rate; the biased Brownian separable permuton has a positive lower bound on approximation error almost surely.