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Controlled Discrete-Time Semi-Markov Random Evolutions and Their Applications
Mathematics, 2021 In this paper, we introduced controlled discrete-time semi-Markov random evolutions. These processes are random evolutions of discrete-time semi-Markov processes where we consider a control. applied to the values of random evolution.
Anatoliy Swishchuk, Nikolaos Limnios
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Fractal and Fractional, 2023 From the initial development of probability theory to the present days, the convergence of various discrete processes to simpler continuous distributions remains at the heart of stochastic analysis.
Vassili N. Kolokoltsov
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On the convergence rates of pairs of adjacent sequences
Journal of Numerical Analysis and Approximation Theory, 2020 In this paper we give a suitable definition for the pairs of adjacent (convergent) sequences of real numbers, we present some two-sided estimations which caracterize the order of convergence to its limits of some of these sequences and we give certain ...
Dorel I. Duca, Andrei Vernescu
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Periodic Korovkin Theorem via $P_{p}^{2}$-Statistical $\mathcal{A}$-Summation Process
Universal Journal of Mathematics and Applications, 2022 In the current research, we investigate and establish Korovkin-type approximation theorems for linear operators defined on the space of all $% 2\pi $-periodic and real valued continuous functions on $% %TCIMACRO{\U{211d} }% %BeginExpansion \mathbb{R ...
Kamil Demirci +2 more
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Rates of Convergence in Laplace’s Integrals and Sums and Conditional Central Limit Theorems
Mathematics, 2020 We obtained the exact estimates for the error terms in Laplace’s integrals and sums implying the corresponding estimates for the related laws of large number and central limit theorems including the large deviations approximation.
Vassili N. Kolokoltsov
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On Convergence Rates of Some Limits
Mathematics, 2020 In 2019 Seneta has provided a characterization of slowly varying functions L in the Zygmund sense by using the condition, for each y > 0 , x L ( x + y ) L ( x ) − 1 → 0 as x → ∞ .
Edward Omey, Meitner Cadena
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GROWTH RATES, QUALITY OF ECONOMIC GROWTH AND CONVERGENCE OF GROWTH RATES [PDF]
Annals of the University of Petrosani: Economics, 2021 The aim of this analysis is to examine methodological possibilities for defining the interdependence of the key categories of production theory. The ultimate goal of this paper is to define relationships pointing to the interdependence of growth rates ...
NADA TRIVIĆ, BOJANA TODIĆ
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Convergence of Password Guessing to Optimal Success Rates
Entropy, 2020 Password guessing is one of the most common methods an attacker will use forcompromising end users. We often hear that passwords belonging to website users have beenleaked and revealed to the public.
Hazel Murray, David Malone
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Fast -approximation of integral-type functionals of Markov processes
Modern Stochastics: Theory and Applications, 2015 In this paper, we provide strong $L_{2}$-rates of approximation of the integral-type functionals of Markov processes by integral sums. We improve the method developed in [2].
Iurii Ganychenko
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International Journal of Mathematics and Mathematical Sciences, 1992 Let X, Xn, n≥1 be a sequence of iid real random variables, and Sn=∑k=1nXk, n≥1. Convergence rates of moderate deviations are derived, i.e., the rate of convergence to zero of certain tail probabilities of the partial sums are determined.
Deli Li, Xiangchen Wang, M. Bhaskara Rao
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