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Extremal stochastic integrals: a parallel between max-stable processes and α-stable processes
Extremes, 2005The paper is devoted to construction of extremal stochastic integrals by random \(\alpha\)-Fréchet sup-measures and investigation of their properties, specially, connections with \(\alpha\)-stable integrals. A r.v. \(\xi\) has \(\alpha\)-Fréchet distribution \(F(\alpha,\sigma)\) if \(P\{\xi\leq x\}=\exp(-\sigma^\alpha x^{-\alpha})\), \(x>0\).
Stoev, Stilian A., Taqqu, Murad S.
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Stationary max-stable processes with the Markov property
2013We prove that the class of discrete time stationary max-stable process satisfying the Markov property is equal, up to time reversal, to the class of stationary max-autoregressive processes of order $1$. A similar statement is also proved for continuous time processes.
Dombry, Cl��ment +1 more
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On the likelihood function of Gaussian max-stable processes
Biometrika, 2011SUMMARY WederiveaclosedformexpressionforthelikelihoodfunctionofaGaussianmax-stableprocessindexed by R d at p d + 1 sites, d 1. We demonstrate the gain in efficiency in the maximum composite likelihood estimators of the covariance matrix from p = 2t op =3 sites in R 2 by means of a Monte ...
Genton, M. G., Ma, Y., Sang, H.
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Flexible max-stable processes for fast and efficient inference
Max-stable processes serve as the fundamental distributional family in extreme value theory. However, likelihood-based inference methods for max-stable processes still heavily rely on composite likelihoods, rendering them intractable in high dimensions due to their intractable densities. In this paper, we introduce a fast and efficient inference methodZhong, Peng +2 more
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High‐Entropy Carbonitride MAX Phases and Their Derivative MXenes
Advanced Energy Materials, 2022Zhiguo Du, Yanglansen Cui, Xiao Chen
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MAX Functions as a Tumor Suppressor and Rewires Metabolism in Small Cell Lung Cancer
Cancer Cell, 2020Arnaud Augert +2 more
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Max–Stable Processes: Representations, Ergodic Properties and Statistical Applications
2010Max-stable processes arise as limits in distribution of component-wise maxima of independent processes, under suitable centering and normalization. Therefore, the class of max-stable processes plays a central role in the study and modeling of extreme value phenomena.
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Basic properties and prediction of max-ARMA processes
Advances in Applied Probability, 1989Sidney I Resnick
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Mechanical behavior, bonding nature and defect processes of Mo2ScAlC2: A new ordered MAX phase
Journal of Alloys and Compounds, 2017Abdul Hadi, Saleh Naqib
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