Results 1 to 10 of about 609,633 (323)

Ideal Convergence of Random Variables [PDF]

Journal of Function Spaces and Applications, 2013
The aim of this paper is to introduce and study the notion of I-convergence of random variables via probabilistic norms. Furthermore, we introduce I-convergence in Lp space and establish some interesting results.
B. Hazarika, S. A. Mohiuddine
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On Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables [PDF]

Abstract and Applied Analysis, 2013
We prove the strong law of large numbers for weighted sums ∑i=1n‍aniXi, which generalizes and improves the corresponding one for independent and identically distributed random variables and φ-mixing random variables.
Aiting Shen, Xinghui Wang, Huayan Zhu
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Convergence for sums of i.i.d. random variables under sublinear expectations [PDF]

Journal of Inequalities and Applications, 2021
In this paper, we obtain equivalent conditions of complete moment convergence of the maximum for partial weighted sums of independent identically distributed random variables under sublinear expectations space.
Mingzhou Xu, Kun Cheng
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Convergence of Neutrosophic Random Variables

Advances in the Theory of Nonlinear Analysis and its Application, 2023
In this paper, we propose and study convergence of neutrosophic random variables. Besides, some relations among these convergences are proved. Besides, we define the notion of neutrosophic weak law of large number and neutrosophic central limit theorem, also some applications examples are shown.
Carlos G̃ranados
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Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables [PDF]

Journal of Sciences, Islamic Republic of Iran, 2007
Let  be a sequence of arbitrary random variables with  and , for every  and  be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for ...
M. Amini
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Convergence Rates for Probabilities of Moderate Deviations for Multidimensionally Indexed Random Variables [PDF]

International Journal of Mathematics and Mathematical Sciences, 2009
Let {X,Xn¯;n¯∈Z+d} be a sequence of i.i.d. real-valued random variables, and Sn¯=∑k¯≤n¯Xk¯, n¯∈Z+d. Convergence rates of moderate deviations are derived; that is, the rates of convergence to zero of certain tail probabilities of the partial sums are ...
Dianliang Deng
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On quasi-convergence of series of independent random variables [PDF]

Proceedings of the American Mathematical Society, 1965
The sufficient part of this theorem was proved by J. Marcinkiewicz and A. Zygmund [3]. An entirely different proof of this is given here by means of concentration functions and, in particular, by using a theorem due to K. Ito ([1, p. 46], and restated and proved in a different manner in [4]).
Howard G. Tucker
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Complete convergence for weighted sums of pairwise independent random variables

Open Mathematics, 2017
In the present paper, we have established the complete convergence for weighted sums of pairwise independent random variables, from which the rate of convergence of moving average processes is deduced.
Ge Li, Liu Sanyang, Miao Yu
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Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability

Universal Journal of Mathematics and Applications
This paper presents a novel perspective on established neutrosophic statistical convergence by utilizing ideals and proposing new ideas. Specifically, we explore the neutrosophic $\mathcal{I}$-statistical convergence of sequences of neutrosophic random ...
Carlos Granados, Ömer Kişi
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Convergence of series of independent random variables [PDF]

Journal of Soviet Mathematics, 1988
See the review in Zbl 0643.60023.
V. V. Petrov
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