Many of the proofs of various central limit theorems and laws of the iterated logarithm for strictly stationary processes are based on approximating martingales. Here we study on this line the functional central limit theorem and law of the iterated logarithm for stationary processes, not necessarily possessing a coboundary decomposition, with applications to stationary linear processes.Central limit theorem Law of the iterated logarithm Strictly stationary processes Stationary linear processes Martingale difference sequences
AbstractA functional central limit theorem is obtained for martingales which are not uniformly asymp...
Recently, nonergodic versions of several limit theorems for strictly stationary processes were given...
AbstractThe Chung–Smirnov law of the iterated logarithm and the Finkelstein functional law of the it...
AbstractMany of the proofs of various central limit theorems and laws of the iterated logarithm for ...
In this paper, we study a general central limit theorem and a general law of the iterated logarithm ...
In this paper a law of the iterated logarithm is obtained for partial sums of a stationary linear pr...
AbstractThe proofs of various central limit theorems for strictly stationary sequences of random var...
A random functional central limit theorem is obtained for a stationary linear process of the form , ...
In this paper, we establish a functional central limit theorem, a law of the iterated logarithm and ...
International audienceIn this paper, we estimate the rest of the approximation of a stationary proce...
There has been recent interest in the conditional central limit question for (strictly) stationary, ...
We present limit theorems for locally stationary processes that have a one sided time-varying movin...
We prove the compact law of the iterated logarithm for stationary and ergodic differences of (revers...
We prove the almost sure invariance principle for martingales with stationary ergodic differences ta...
In [6], Serfozo introduced a class of stochastic processes which he called semi-stationary processes...
AbstractA functional central limit theorem is obtained for martingales which are not uniformly asymp...
Recently, nonergodic versions of several limit theorems for strictly stationary processes were given...
AbstractThe Chung–Smirnov law of the iterated logarithm and the Finkelstein functional law of the it...
AbstractMany of the proofs of various central limit theorems and laws of the iterated logarithm for ...
In this paper, we study a general central limit theorem and a general law of the iterated logarithm ...
In this paper a law of the iterated logarithm is obtained for partial sums of a stationary linear pr...
AbstractThe proofs of various central limit theorems for strictly stationary sequences of random var...
A random functional central limit theorem is obtained for a stationary linear process of the form , ...
In this paper, we establish a functional central limit theorem, a law of the iterated logarithm and ...
International audienceIn this paper, we estimate the rest of the approximation of a stationary proce...
There has been recent interest in the conditional central limit question for (strictly) stationary, ...
We present limit theorems for locally stationary processes that have a one sided time-varying movin...
We prove the compact law of the iterated logarithm for stationary and ergodic differences of (revers...
We prove the almost sure invariance principle for martingales with stationary ergodic differences ta...
In [6], Serfozo introduced a class of stochastic processes which he called semi-stationary processes...
AbstractA functional central limit theorem is obtained for martingales which are not uniformly asymp...
Recently, nonergodic versions of several limit theorems for strictly stationary processes were given...
AbstractThe Chung–Smirnov law of the iterated logarithm and the Finkelstein functional law of the it...
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