Search

Your search keyword '"Koroliuk, V."' showing total 36 results
Start Over Author "Koroliuk, V."
36 results on '"Koroliuk, V."'

1. Differential diffusion model with two equilibrium states

Author

Koroliouk, D. and Koroliuk, V. S.

Subjects
Mathematics - Probability, 91B51 (Primary) 60J60, 60J70 (Secondary), G.3
Abstract

The difference diffusion model with two equilibrium states is given by a stochastic equation with two components: the predicted one, which is determined by the regression function of increments with two equilibriums, and the stochastic one, which is the martingale difference. We propose a classification of zones of influence of equilibriums according to asymptotic properties of trajectories of statistical experiments. We study asymptotic behavior of statistical experiments, determined by the sums of $N$ sample values, as $N\to\infty$., Comment: 15 pages, 1 figure

Published
2020

2. Equilibrium in Wright-Fisher models of population genetics

Author

Koroliouk, D. and Koroliuk, V. S.

Subjects
Mathematics - Statistics Theory, 92D10 (Primary) 92D15, 92D25 (Secondary), G.3
Abstract

For multivariant Wright-Fisher models in population genetics, we introduce equilibrium states, expressed by fluctuations of probability ratio, in contrast to the traditionally used fluctuations, expressed by the difference between the current value of the random process and its equilibrium value. Then the drift component of the dynamic process of gene frequencies, primarily expressed as a ratio of two quadratic forms, is transformed into a cubic parabola with a certain normalization factor., Comment: 6 pages, a genetic Wright-Fisher model is considered as a multivariate statistical experiment which has a representation as a Discrete Markov Diffusion

Published
2020

3. Filtering of stationary Gaussian statistical experiments

Author

Koroliuk, V. S. and Koroliouk, D.

Subjects
Mathematics - Statistics Theory, 93E11 (Primary) 60G35, 93E10 (Secondary), G.3
Abstract

This article proposes a new filtering model for stationary Gaussian Markov statistical experiments, given by diffusion-type difference stochastic equations., Comment: 9 pages, 54 formulas, no figures, 8 refs

Published
2020

5. Asymptotic expansion of semi-Markov random evolutions

Author

Albeverio, S., Koroliuk, V. S., and Samoilenko, I. V.

Subjects
Mathematics - Probability, 60K15, 45E99
Abstract

Regular and singular parts of asymptotic expansions of semi-Markov random evolutions are given. Regularity of boundary conditions is shown. An algorithm for calculation of initial conditions is proposed.

Published
2009

6. Levy Approximation of Impulsive Recurrent Process with Markov Switching

Author

Koroliuk, V. S., Limnios, N., and Samoilenko, I. V.

Subjects
Mathematics - Probability, 60J55, 60B10, 60F17, 60K10
Abstract

In this paper, the weak convergence of impulsive recurrent process with Markov switching in the scheme of Levy approximation is proved. For the relative compactness, a method proposed by R. Liptser for semimartingales is used with a modification, where we apply a solution of a singular perturbation problem instead of an ergodic theorem.

Published
2009

7. Levy Approximation of Impulsive Recurrent Process with Semi-Markov Switching

Author

Koroliuk, V. S., Limnios, N., and Samoilenko, I. V.

Subjects
Mathematics - Probability, 60J55, 60B10, 60F17, 60K10
Abstract

In this paper, the weak convergence of impulsive recurrent process with semi-Markov switching in the scheme of Levy approximation is proved. Singular perturbation problem for the compensating operator of the extended Markov renewal process is used to prove the relative compactness.

Published
2009

8. Poisson Approximation of Processes with Locally Independent Increments with Markov Switching

Author

Koroliuk, V. S., Limnios, N., and Samoilenko, I. V.

Subjects
Mathematics - Probability, 60J55, 60B10, 60F17, 60K10
Abstract

In this paper, the weak convergence of additive functionals of processes with locally independent increments and with Markov switching in the scheme of Poisson approximation is proved. For the relative compactness, a method proposed by R. Liptser for semimartingales is used with a modification, where we apply a solution of a singular perturbation problem instead of an ergodic theorem.

Published
2009

9. Adapted Statistical Experiments with Random Change of Time

Author

Koroliouk, D., Koroliuk, V. S., Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Rykov, Vladimir V., editor, Singpurwalla, Nozer D., editor, and Zubkov, Andrey M., editor

Published
2017
Full Text
View/download PDF

11. IMPACT OF TYPE 2 DIABETES MELLITUS ON LOW-GRADE INFLAMMATION IN PATIENTS WITH ST-ELEVATED MYOCARDIAL INFARCTION.

Author

Bielinskyi, M. V., Seredyuk, N. M., Vytryhovskiy, A. I., and Koroliuk, V. D.

Subjects
TYPE 2 diabetes, ST elevation myocardial infarction, MYOCARDIAL infarction, INFLAMMATION, CARDIOVASCULAR diseases
Abstract

Chronic low-grade inflammation has emerged as a hallmark of type 2 diabetes mellitus (T2DM), contributing significantly to the pathogenesis of various cardiovascular diseases, notably ST-elevated myocardial infarction (STEMI). The intricate interplay between inflammation and cardiovascular health in the context of T2DM has been a subject of intensive research in recent years. In particular, the development of various markers of inflammation has provided valuable tools for better understanding the complex relationship between low-grade inflammation and cardiovascular disease in T2DM. Elevated levels of these markers have been consistently associated with increased cardiovascular risk in patients with T2DM, indicating their potential as prognostic indicators. The aim of the study was to investigate the potential association between type 2 diabetes mellitus and low-grade inflammation markers in patients with ST-elevated myocardial infarction through a comparative analysis of systemic immune-inflammation indices, fibronectin, and soluble suppression of tumorogenesis-2 (sST2) levels in ST-elevated myocardial infarction patients with and without type 2 diabetes mellitus. We enrolled 158 patients diagnosed with STEMI who were admitted to the Ivano-Frankivsk Regional Clinical Cardiological Center. The study population was divided into three groups: 1 – consisting of 45 patients with both STEMI and T2DM, and the 2 – consisting of 34 patients with STEMI only, T2DM only group – 69 patients, Control group – 10 healthy patients. In summary, the findings from the study provide compelling evidence to support the notion that patients who suffer from both STEM and T2DM exhibit a more robust inflammatory response and higher platelet count, compared to those with STEMI alone. These results suggest that the presence of T2DM may exacerbate the pro-inflammatory and pro-thrombotic state that is typically associated with STEMI, thereby emphasizing the critical need for early intervention to prevent or mitigate inflammation and platelet activation in this particular patient population. Type 2 diabetes mellitus patients with ST-segment elevation myocardial infarction show higher levels of inflammation markers and fibronectin, indicating greater low-grade inflammation. Elevated levels of soluble suppression of tumorigenicity 2 suggest myocardial remodeling. Targeting low-grade inflammation could be a potential therapy for STEMI in T2DM patients. [ABSTRACT FROM AUTHOR]

Published
2023
Full Text
View/download PDF

26. Diffusion approximation algorithms in merging phase space

Author

Koroliuk, V. and Limnios, N.

Abstract

Diffusion approximation algorithms for stochastic systems in split and merging phase space are represented in servey form. The main mathematical tools of such algorithms are described in our book ”Stochastic Systems in Merging Phase Space” (World Scientific Publishing, 2005).

Published
2007

30. Reliability of Semi-Markov Systems with Asymptotic Merging Phase Space.

Author

Koroliuk, V. S. and Limnios, N.

Abstract

The aim of this chapter is to present, under an unified framework, asymptotic merging of phase state space of complex systems in reliability. Such simplification methods are important in reliability since the most system have very large phase spaces and it is almost impossible to handle them by usual analytical methods. Results presented here are of averaging type and obtained by weak convergence techniques. Nevertheless, a result of diffusion approximation is also given. [ABSTRACT FROM AUTHOR]

Published
2011
Full Text
View/download PDF

31. Occupation measure functionals in merging phase space.

Author

Koroliuk, V. S., Kutoviy, O., and Limnios, N.

Subjects
*MARKOV processes, *STOCHASTIC processes, *PHASE space, *GENERALIZED spaces, *HYPERSPACE, *PERTURBATION theory
Abstract

This paper deals with the averaging and diffusion approximation for occupation time of general phase space semi-Markov processes under split with simple and double merging in a series scheme. These results seem to be particularly interesting since the variance coefficient is obtained in a simple form. The method of proof of weak convergence results here is based on the construction of the compensating operator of the extended Markov renewal processes and on the solution of the singular perturbation problem of this operator acting on test functions. [ABSTRACT FROM AUTHOR]

Published
2010
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results