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Absolute Almost Convergence and Riesz Convergence
2014In this chapter, we define the notion of almost bounded variation and absolute almost convergence for double sequences. We use the definition of absolute almost convergence to define absolute almost conservative and absolute almost regular matrices and find necessary and sufficient conditions to characterize these matrices.
M. Mursaleen, S. A. Mohiuddine
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2016
We have seen in Part II the importance of a.e. convergence in integration theory. The purpose of this last chapter of our book is to clarify its relationship to other convergence notions.
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We have seen in Part II the importance of a.e. convergence in integration theory. The purpose of this last chapter of our book is to clarify its relationship to other convergence notions.
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2012
This chapter studies essentially Strong Laws of Large Numbers (SLLN) for associated variables and their applications to the characterization of asymptotics of statistical estimators under associated sampling. It is possible to prove SLLN under fairly general assumptions, but, in order to prove characterizations of convergence rates, a closer care on ...
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This chapter studies essentially Strong Laws of Large Numbers (SLLN) for associated variables and their applications to the characterization of asymptotics of statistical estimators under associated sampling. It is possible to prove SLLN under fairly general assumptions, but, in order to prove characterizations of convergence rates, a closer care on ...
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Stability bounds and almost sure convergence of improved particle swarm optimization methods
Research in the Mathematical Sciences, 2021Xin T. Tong, K. P. Choi, T. Lai, W. Wong
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Almost convergence and Euler totient matrix
Annals of Functional Analysis, 2019Serkan Demiriz, M. İlkhan, E. Kara
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Journal of the American Statistical Association, 1975
M. H. D., William F. Stout
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M. H. D., William F. Stout
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Regularity and almost sure convergence
1995Summary: 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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