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We analyze the asymptotic behaviour of the tapered discrete Fourier transforms far random fields with singular spectrum. The results are used to establish consistency and asymptotic normality for s...
Let V be a convex cone in Rn. A curve L= { I (t); t E R +) c R" is called a time-like curve if (E(s); s 3 t) c 1 (t)+ V holds for any t. A random field {X(r); t cRn) whose restriction XIL(b) = X (1...
Consider a random field of tensor product-type X (t), ~ E [ O l, l d, given by where ( A ( ~ ) i , 0 ~ 1 2 , is an orthonormal system in L, KO, 11 and (tklkENd are non-correlated random variables w...
Statistical version of the central limit theorem (CLT) with random matrix normalization is established for random fields with valuea in a space Rk (k 3 1). Dependence structure of the field under c...
Recently, Giraitis et al. (2003, [10]) proposed the $V/S$ statistic for testing long memory in random sequences. We generalize this statistic to the setting of random fields. The null hypothesis is co...
We investigate the invariance principle for set-indexed partial sums of a stationary field (X ) d of martingale-di?erence or independent random variables kk-Z under standard normalization or self-norm...

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