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20012022
most citedStochastic models which separate fractal dimension and Hurst effect

449 citations · 986 across the 29 of their papers we have counts for

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Showing 2012 · math.PRShow all

5 papers · 2 filters

math.PR2012★ 4 cited

Intrinsically Weighted Means of Marked Point Processes

Alexander Malinowski, Martin Schlather, Zhengjun Zhang

For a non-stationary or non-ergodic marked point process (MPP) on , the definition of averages becomes ambiguous as the process might have a different stochastic behavior in…

math.PR2012★ 5 cited

Representations of max-stable processes based on single extreme events

Sebastian Engelke, Alexander Malinowski, Marco Oesting +1

This paper provides the basis for new methods of inference for max-stable processes ξ on general spaces that admit a certain incremental representation, which, in important cases,…

math.PR2012★ 4 cited

Characterizing extremal coefficient functions and extremal correlation functions

Kirstin Strokorb, Martin Schlather

We focus on two dependency quantities of a max-stable random field on some space : the extremal coefficient function which we define on finite sets of and the extrem…

math.PR2012★ 10 cited

Maxima of independent, non-identically distributed Gaussian vectors

Sebastian Engelke, Zakhar Kabluchko, Martin Schlather

Let , be a triangular array of independent -valued Gaussian random vectors with correlation matrices . We give necessa…

math.PR2012★ 10 cited

Conditional Sampling for Max-Stable Processes with a Mixed Moving Maxima Representation

Marco Oesting, Martin Schlather

This paper deals with the question of conditional sampling and prediction for the class of stationary max-stable processes which allow for a mixed moving maxima representation. We…