A strong law of large numbers for harmonizable isotropic random fields.
Swift, Randall J. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Swift, Randall J. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Swift, Randall J. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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CONTENTSIntroduction......................................................................................................................................... 5I. Prediction of strictly stationary random fields.................................................................................... 6II. Prediction of stationary-in-norm fields in Banach spaces of random variables........................ 23 § 1. Banach spaces of random variables...................................................................................
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We study the limiting distribution of the maximum value of a stationary bivariate real random field satisfying suitable weak mixing conditions. In the first part, when the double dimensions of the random samples have a geometric growing pattern, a max-semistable distribution is obtained. In the second part, considering the random field sampled at double random times, a mixture distribution is established for the limiting distribution of the maximum.
Preiss, D., Kotecký, R.
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