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- W2733261 abstract "We determine the class of nondegenerate joint-limiting distributions for the maximum and minimum of stationary random fields (mathbf{X} = left {X_{mathbf{n}}right }_{mathbf{nin {mathbb{N}}^{2}}}) satisfying a long-range dependence restriction for each coordinate direction at a time. Unlike the classical result for i.i.d. random fields the maximum and minimum of X may be asymptotically dependent. We also give a sufficient condition for the asymptotic independence of the maximum and minimum. Additional conditions are given in order to obtain the asymptotic independence of the locations of maximum and minimum." @default.
- W2733261 created "2016-06-24" @default.
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- W2733261 date "2013-01-01" @default.
- W2733261 modified "2023-09-24" @default.
- W2733261 title "On the Maximum and Minimum of a Stationary Random Field" @default.
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- W2733261 doi "https://doi.org/10.1007/978-3-642-34904-1_35" @default.
- W2733261 hasPublicationYear "2013" @default.
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