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math.ST2026
Tests of graph homogeneity, subgraph counts, and quasirandomness
Rudolf Grübel
Homogeneous random graphs, also known as Erd{\H os}-Rényi graphs, are a subset of the family of dense random graphs, specified by a graphon. We analyze several goodness-of-fit test…
math.ST2026
Pattern-based tests for two-dimensional copulas
L. Baringhaus, R. Grübel
In statistics permutations typically arise in the context of rank plots for two-dimensional data. Such plots can also be interpreted as discrete copulas. In discrete mathematics, t…
math.ST2026
Efficiency of pattern-based independence test
L. Baringhaus, R. Grübel
Tests of independence are an important tool in applications, specifically in connection with the detection of a relationship between variables; they also have initiated many develo…