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Currently displaying 1 – 3 of 3

Order by Relevance | Title | Year of publication

Poisson Approximation for the Number of Large Digits of Inhomogeneous f-Expansions.

Lothar Heinrich — 1997

Monatshefte für Mathematik

Asymptotic Properties of Minimum Contrast Estimators for Parameters of Boolean Models.

Lothar Heinrich — 1993

Metrika

On the strong Brillinger-mixing property of $α$ -determinantal point processes and some applications

Lothar Heinrich — 2016

Applications of Mathematics

First, we derive a representation formula for all cumulant density functions in terms of the non-negative definite kernel function $C (x, y)$ defining an $α$ -determinantal point process (DPP). Assuming absolute integrability of the function $C_{0} (x) = C (o, x)$ , we show that a stationary $α$ -DPP with kernel function $C_{0} (x)$ is “strongly” Brillinger-mixing, implying, among others, that its tail- $σ$ -field is trivial. Second, we use this mixing property to prove rates of normal convergence for shot-noise processes and sketch some applications...

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