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A characterization of the normal distribution using stationary max-stable processes
Consider the max-stable process $\eta(t) = \max_{i\in\mathbb N} U_i \rm{e}^{\langle X_i, t\rangle - \kappa(t)}$, $t\in\mathbb{R}^d$, where $\{U_i, i\in\mathbb{N}\}$ are points of the Poisson process with intensity $u^{-2}\rm{d} u$ on $(0,\infty)$, $X_i$,
Engelke, Sebastian, Kabluchko, Zakhar
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Chlorophyll a fluorescence (ChlFa) parameters provide insight into the physiological and biochemical processes of plants and have been widely applied to monitor and evaluate the photochemical process and photosynthetic capacity of plants in a variety of ...
Jie Zhuang +3 more
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Efficient simulation of Brown-Resnick processes based on variance reduction of Gaussian processes [PDF]
Brown-Resnick processes are max-stable processes that are associated to Gaussian processes. Their simulation is often based on the corresponding spectral representation which is not unique.
Oesting, Marco, Strokorb, Kirstin
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Spatial risk measures for max-stable and max-mixture processes [PDF]
In this paper, we consider isotropic and stationary max-stable, inverse max-stable and max-mixture processes $X=(X(s))\_{s\in\bR^2}$ and the damage function $\cD\_X^ = |X|^ $ with ...
Ahmed, Manaf +3 more
openaire +4 more sources
Since the discovery of the Earth’s radiation belts in 1958, it has always been a challenge to determine the dominant physical mechanisms, whether local acceleration by chorus or inward radial diffusion, that leads to outer radiation belt relativistic ...
Man Hua +4 more
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Conditional Sampling for Max-Stable Processes with a Mixed Moving Maxima Representation
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.
BM Brown +21 more
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On the occurrence times of componentwise maxima and bias in likelihood inference for multivariate max-stable distributions [PDF]
Full likelihood-based inference for high-dimensional multivariate extreme value distributions, or max-stable processes, is feasible when incorporating occurrence times of the maxima; without this information, $d$-dimensional likelihood inference is ...
Wadsworth, J. L.
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Ocean biogeochemistry in the warm climate of the late Paleocene [PDF]
The late Paleocene is characterized by warm and stable climatic conditions that served as the background climate for the Paleocene–Eocene Thermal Maximum (PETM, ~55 million years ago).
M. Heinze, T. Ilyina
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Geometric ergodicity for some space-time max-stable Markov chains
Max-stable processes are central models for spatial extremes. In this paper, we focus on some space-time max-stable models introduced in Embrechts et al. (2016).
Koch, Erwan, Robert, Christian Y.
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A fundamental goal of neuroscience is to understand how cognitive processes, such as operant conditioning, are performed by the brain. Typical and well studied examples of operant conditioning, in which the firing rates of individual cortical neurons in ...
Robert R Kerr +4 more
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