For a linear random field (linear p-parameter stochastic process) generated by a dependent random field with zero mean and finite qth moments (q>2p), we give sufficient conditions that the linear random field converges weakly to a multiparameter standard Brownian motion if the corresponding dependent random field does so. doi:10.1017/S144618110800021
We prove a general functional central limit theorem for weak dependent time series. Those probabilis...
Weak invariance principles for certain continuous time parameter stochastic processes (including mar...
© 2014, Pleiades Publishing, Ltd. A new condition for a weak dependence of random variables is deter...
For a linear random field (linear p-parameter stochastic process) generated by a dependent random fi...
A functional central limit theorem for a strictly stationary associated random field in the general ...
Moment inequalities for a class of functionals of i.i.d. random fields are proved. Then rates are de...
AbstractIn this note we prove a functional central limit theorem for LPQD processes, satisfying some...
We establish new exponential inequalities for partial sums of random fields. Next, using classical c...
Abstract. In this paper we consider the central limit theorems for functionals G: R" '-, ...
Central limit theorem, Weakly dependent processes, Sample moments and cumulants, 60F05, 62F12, 62M10...
A random functional central limit theorem is obtained for a stationary linear process of the form , ...
The talk is motivated by the properties surrounding the spectral density of a stationary process and...
International audienceIn this note, we provide a central limit theorem for the finite dimensional ma...
A non-uniform estimate of the rate of convergence in the central limit theorem for m-dependent rando...
Abstract. Statistical version of the central limit theorem (CLT) with random matrix normalization is...
We prove a general functional central limit theorem for weak dependent time series. Those probabilis...
Weak invariance principles for certain continuous time parameter stochastic processes (including mar...
© 2014, Pleiades Publishing, Ltd. A new condition for a weak dependence of random variables is deter...
For a linear random field (linear p-parameter stochastic process) generated by a dependent random fi...
A functional central limit theorem for a strictly stationary associated random field in the general ...
Moment inequalities for a class of functionals of i.i.d. random fields are proved. Then rates are de...
AbstractIn this note we prove a functional central limit theorem for LPQD processes, satisfying some...
We establish new exponential inequalities for partial sums of random fields. Next, using classical c...
Abstract. In this paper we consider the central limit theorems for functionals G: R" '-, ...
Central limit theorem, Weakly dependent processes, Sample moments and cumulants, 60F05, 62F12, 62M10...
A random functional central limit theorem is obtained for a stationary linear process of the form , ...
The talk is motivated by the properties surrounding the spectral density of a stationary process and...
International audienceIn this note, we provide a central limit theorem for the finite dimensional ma...
A non-uniform estimate of the rate of convergence in the central limit theorem for m-dependent rando...
Abstract. Statistical version of the central limit theorem (CLT) with random matrix normalization is...
We prove a general functional central limit theorem for weak dependent time series. Those probabilis...
Weak invariance principles for certain continuous time parameter stochastic processes (including mar...
© 2014, Pleiades Publishing, Ltd. A new condition for a weak dependence of random variables is deter...
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