A finitely additive version of the law of the iterated logarithm (LIL) is proposed. The formulation involves only finite-dimensional distributions of a sequence of independent random variables. It is also proved that in the case where one deals with σ-additive probabilities, the given result is equivalent to the classical version of the LIL
We find conditions which are sufficient and nearly necessary for the compact and bounded law of the ...
AbstractThe so-called “other law of the iterated logarithm” was first given by Chung (Trans. Amer. M...
Let {X,Xn; n ≥ 1} be a sequence of i.i.d. random vari-ables with distribution function F (x). For ea...
A finitely additive version of the law of the iterated logarithm (LIL) is proposed. The formulation ...
A real-variable proof of a functional generalised law of the iterated logarithm due to Kesten, Kuelb...
AbstractIn this paper, we study a version of the law of the logarithm in a Banach space setting. Som...
Abstract. Based on a law of the iterated logarithm for independent random variables sequences, an it...
78 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.For free random variables, we ...
AbstractThis paper proves that the law of the iterated logarithm holds for a stationary negatively a...
AbstractBy using the Itô calculus, a law of the iterated logarithm (LIL) is established for stochast...
In [3], Finkelstein presented the Strassen's version of the law of the iterated logarithm for empiri...
AbstractThe Levy's type maximal inequality is a key to establish the law of the iterated logarithm f...
Educação Superior::Ciências Exatas e da Terra::MatemáticaThe law of the iterated logarithm is a refi...
International audienceWe use Nummelin splitting in continuous time in order to prove laws of iterate...
This paper proves that the law of the iterated logarithm holds for a stationary negatively associate...
We find conditions which are sufficient and nearly necessary for the compact and bounded law of the ...
AbstractThe so-called “other law of the iterated logarithm” was first given by Chung (Trans. Amer. M...
Let {X,Xn; n ≥ 1} be a sequence of i.i.d. random vari-ables with distribution function F (x). For ea...
A finitely additive version of the law of the iterated logarithm (LIL) is proposed. The formulation ...
A real-variable proof of a functional generalised law of the iterated logarithm due to Kesten, Kuelb...
AbstractIn this paper, we study a version of the law of the logarithm in a Banach space setting. Som...
Abstract. Based on a law of the iterated logarithm for independent random variables sequences, an it...
78 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.For free random variables, we ...
AbstractThis paper proves that the law of the iterated logarithm holds for a stationary negatively a...
AbstractBy using the Itô calculus, a law of the iterated logarithm (LIL) is established for stochast...
In [3], Finkelstein presented the Strassen's version of the law of the iterated logarithm for empiri...
AbstractThe Levy's type maximal inequality is a key to establish the law of the iterated logarithm f...
Educação Superior::Ciências Exatas e da Terra::MatemáticaThe law of the iterated logarithm is a refi...
International audienceWe use Nummelin splitting in continuous time in order to prove laws of iterate...
This paper proves that the law of the iterated logarithm holds for a stationary negatively associate...
We find conditions which are sufficient and nearly necessary for the compact and bounded law of the ...
AbstractThe so-called “other law of the iterated logarithm” was first given by Chung (Trans. Amer. M...
Let {X,Xn; n ≥ 1} be a sequence of i.i.d. random vari-ables with distribution function F (x). For ea...