Results 31 to 40 of about 6,153,719 (345)

Lacunary Arithmetic Statistical Convergence [PDF]

open access: yesNational Academy Science Letters, 2020
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
openaire   +2 more sources

ON THE STATISTICAL CONVERGENCE OF NESTED SEQUENCES OF SETS

open access: yesПроблемы анализа, 2022
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]

open access: yes, 2010
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
core   +4 more sources

Fundamental properties of statistical convergence and lacunary statistical convergence on time scales [PDF]

open access: yesFilomat, 2017
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
openaire   +1 more source

λ-statistical convergence in n-normed spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
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]

open access: yes, 2014
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]

open access: yes, 2014
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

Relatively equi-statistical convergence via deferred Nörlund mean based on difference operator of fractional-order and related approximation theorems

open access: yesAIMS Mathematics, 2020
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

open access: yes, 2006
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
openaire   +2 more sources

A Convergent t-Statistic in Spurious Regressions [PDF]

open access: yesSSRN Electronic Journal, 2003
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.
openaire   +3 more sources

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