Results 31 to 40 of about 6,153,719 (345)
Lacunary Arithmetic Statistical Convergence [PDF]
A lacunary sequence is an increasing integer sequence $ =(k_r)$ such that $k_r-k_{r-1}\rightarrow \infty$ as $r\rightarrow \infty.$ In this article we introduce arithmetic statistically convergent sequence space $ASC$ and lacunary arithmetic statistically convergent sequence space $ASC_ $ and study some inclusion properties between the two spaces ...
Taja Yaying, Bipan Hazarika
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ON THE STATISTICAL CONVERGENCE OF NESTED SEQUENCES OF SETS
In this paper, we show that Wijsman convergence and statistical Wijsman convergence are equivalent to each other if we choose the sequences of sets as monotone.
H. Albayrak +3 more
doaj +1 more source
Rainwater-Simons-type convergence theorems for generalized convergence methods [PDF]
We extend the well-known Rainwater-Simons convergence theorem to various generalized convergence methods such as strong matrix summability, statistical convergence and almost convergence.
Hardtke, Jan-David
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Fundamental properties of statistical convergence and lacunary statistical convergence on time scales [PDF]
In this paper, we first obtain a Tauberian condition for statistical convergence on time scales. We also find necessary and sufficient conditions for the equivalence of statistical convergence and lacunary statistical convergence on time scales. Some significant applications are also presented.
Turan, Ceylan, Duman, Oktay
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λ-statistical convergence in n-normed spaces
In this paper, we introduce the concept of λ-statistical convergence in n-normed spaces. Some inclusion relations between the sets of statistically convergent and λ-statistically convergent sequences are established.
Hazarika Bipan, Savaş Ekrem
doaj +1 more source
Mod-Gaussian convergence and its applications for models of statistical mechanics [PDF]
In this paper we complete our understanding of the role played by the limiting (or residue) function in the context of mod-Gaussian convergence. The question about the probabilistic interpretation of such functions was initially raised by Marc Yor. After
C.-G. Esseen +13 more
core +1 more source
Statistical Skorohod embedding problem and its generalizations [PDF]
Given a L\'evy process $L$, we consider the so-called statistical Skorohod embedding problem of recovering the distribution of an independent random time $T$ based on i.i.d.
Belomestny, Denis, Schoenmakers, John
core +5 more sources
In the proposed paper, we have introduced the notion of point-wise relatively statistical convergence, relatively equi-statistical convergence and relatively uniform statistical convergence of sequences of functions based on the difference operator of ...
B. Jena +3 more
semanticscholar +1 more source
Statistical Convergence and Convergence in Statistics
Statistical convergence was introduced in connection with problems of series summation. The main idea of the statistical convergence of a sequence l is that the majority of elements from l converge and we do not care what is going on with other elements.
Burgin, Mark, Duman, Oktay
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A Convergent t-Statistic in Spurious Regressions [PDF]
Summary: This paper investigates the asymptotic properties of the t-statistic in spurious regressions when the bandwidth in the estimation of the heteroskedasticity and autocorrelation consistent (HAC) standard error is set proportional to the sample size.
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