On the strong Brillinger-mixing property of \(\alpha\)-determinantal point processes and some applications.

DOI10.1007/s10492-016-0141-yzbMath1488.60126OpenAlexW2479553045MaRDI QIDQ331317

Lothar Heinrich

Publication date: 26 October 2016

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/145795

zbMATH Keywords

goodness-of-fit testdeterminantal point processBerry-Esseen boundshot-noise processexponential momentkernel-type product density estimatormultiparameter \(K\)-functionpermanental point processtrivial tail-\(\sigma\)-field

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (5)

Asymptotic goodness-of-fit tests for point processes based on scaled empirical K-functions ⋮ Testing goodness of fit for point processes via topological data analysis ⋮ Mixing properties and central limit theorem for associated point processes ⋮ Variance asymptotics for the area of planar cylinder processes generated by Brillinger-mixing point processes ⋮ Brillinger mixing of determinantal point processes and statistical applications

Uses Software

• spatstat

Cites Work

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