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Almost sure convergence of the Bartlett estimator

Periodica Mathematica Hungarica, 2005
We study the almost sure convergence of the Bartlett estimator for the asymptotic variance of the sample mean of a stationary weekly dependent process. We also study the a.\ s.\ behavior of this estimator in the case of long-range dependent observations.
Shao, Qi-Man   +3 more
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SIMULATED ANNEALING FOR ALMOST SURE CONVERGENT RANDOM SEQUENCES

Statistics & Risk Modeling, 2001
Summary: A stochastic simulated annealing algorithm is defined in order to find solutions to a minimization problem connected with a function defined on a finite set which is the almost sure limit of a sequence of random variables. The convergence to equilibrium of the algorithm is shown and the asymptotic properties of the sequence of equilibrium ...
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On almost sure convergence of asymptotic martingales

1993
Summary: The aim of this paper is to give a characterization of almost sure convergence for sequences of random variables, which do not necessarily have first moments. An example of such characterization was given by \textit{I. A. Dzhvarsheishvili} [Theory Probab. Appl. 33, 260-269 (1988)], where a notion of a \(D_v\)-amart was introduced. We show that
Kruk, Łukasz, Zięba, Wiesław (1950- )
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Regularity and almost sure convergence

1995
Summary: We give a sufficient condition for almost sure convergence in the sense of \textit{E. Hensz} and \textit{R. Jajte} [Math. Z. 193, 413-429 (1986; Zbl 0613.46056)] to be equivalent to almost uniform convergence.
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Almost Sure Convergence.

Journal of the American Statistical Association, 1975
M. H. D., William F. Stout
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Almost sure convergence of projections in \(L_p\)-spaces

1997
Summary: The paper is devoted to the analysis of pointwise convergence of sequences of projections in \(L_p\)-spaces. Also some approximation problems for operators in \(L_2\)-spaces are discussed.
Hensz-Chądzyńska, Ewa   +2 more
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Almost Sure Convergence of Multi-Indexed Series

2014
One of the fundamental results of the classical probability theory is the so-called Kolmogorov three series theorem.
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Stochastic Helmholtz Problem and Convergence Almost Surely

Lobachevskii Journal of Mathematics
Tleubergenov, M. I.   +2 more
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SUMMABILITY METHODS AND ALMOST-SURE CONVERGENCE

1991
N.H. Bingham, L.C.G. Rogers
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