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Large deviations of the correlogram estimator of the random noise covariance function in the nonlinear regression model

Authors : Alexander Ivanov , Yuriy Kozachenko , Kateryna Moskvychova
Journal : Communications in Statistics - Theory and Methods
Journal Reference count : 17
Volume : 50
Pages : 4236-4254
2020

Simulation of Gaussian stationary Ornstein–Uhlenbeck process with given reliability and accuracy in space C⁢([0,T])C([0,T])

Authors : Yuriy Kozachenko , Marina Petranova
Journal : Monte Carlo Methods and Applications
Journal Reference count : 12
Volume : 23
Pages : 277-286
2017

Justification of Application of the Fourier Method for Parabolic Equations with Random Boundary Conditions from Orlicz Spaces

Authors : Yuriy Kozachenko , Izabella Marina
Journal : Journal of Applied Mathematics and Statistics
2016

Whittaker–Kotel'nikov–Shannon approximation of φ-sub-Gaussian random processes

Authors : Yuriy Kozachenko , Andriy Olenko
Journal : Journal of Mathematical Analysis and Applications
Journal Reference count : 41
Volume : 443
Pages : 926-946
2016

Aliasing-Truncation Errors in Sampling Approximations of Sub-Gaussian Signals

Authors : Yuriy Kozachenko , Andriy Olenko
Journal : IEEE Transactions on Information Theory
Journal Reference count : 30
Volume : 62
Pages : 5831-5838
2016

A criterion for testing hypotheses about the covariance function of a stationary Gaussian stochastic process

Authors : Yuriy Kozachenko , Viktor Troshki
Journal : Modern Stochastics: Theory and Applications
Volume : 1
Pages : 139-149
2015

Reliability and accuracy in the space Lp (T) for the calculation of integrals depending on a parameter by the Monte Carlo method

Authors : Yuriy V. Kozachenko , Yuriy Y. Mlavets
Journal : Monte Carlo Methods and Applications
Volume : 21
Pages : 233-244
2015

The restricted isometry property for random matrices with ϕ-subgaussian entries

Authors : Yuriy Kozachenko , Viktor Troshki
Journal : Random Operators and Stochastic Equations
Volume : 23
Pages : 169-178
2015

The Cauchy Problem for the Heat Equation with a Random Right Part from the Space <i>Sub<sub>φ</sub></i> (Ω)

Authors : Yuriy Kozachenko , Anna Slyvka-Tylyshchak
Journal : Applied Mathematics
Journal Reference count : 26
Volume : 05
Pages : 2318-2333
2014

On the increase rate of random fields from space $Sub_{\varphi}(\Omega)$ on unbounded domains

Authors : Yuriy Kozachenko , Anna Slyvka-Tylyshchak
Journal : Statistics, Optimization & Information Computing
Volume : 2
2014

Stochastic processes from spaces

Authors : Yuriy Kozachenko , Yuriy Mlavets
Journal : Contemporary Mathematics and Statistics
2014

On the increase rate of random fields from space $Sub_{\varphi}(\Omega)$ on unbounded domains

Authors : Yuriy Kozachenko , Anna Slyvka-Tylyshchak
Journal : Statistics, Optimization & Information Computing
Volume : 2
2014

Estimates of distributions for some functionals of stochastic processes from an Orlicz space

Authors : Yuriy Kozachenko , Mykola Sergiienko
Journal : Random Operators and Stochastic Equations
Volume : 22
Pages : 65-72
2014

Probability distributions of extremes of self-similar Gaussian random fields

Authors : Yuriy Kozachenko , Vitalii Makogin
Journal : Journal of Classical Analysis
Pages : 25-42
2014

Uniform Convergence of Compactly Supported Wavelet Expansions of Gaussian Random Processes

Authors : Yuriy Kozachenko , Andriy Olenko , Olga Polosmak
Journal : Communications in Statistics - Theory and Methods
Journal Reference count : 15
Volume : 43
Pages : 2549-2562
2014

Some Goodness of Fit Tests for Random Sequences

Authors : Yuriy Kozachenko , Tetiana Ianevych
Journal : Lietuvos statistikos darbai
Volume : 52
Pages : 5-13
2013

Upper estimate of overrunning by Sub<SUB>ϕ</SUB> (Ω) random process the level specified by continuous function

Authors : Olga Vasylyk , Yuriy Kozachenko , Rostyslav Yamnenko
Journal : Random Operators and Stochastic Equations
Volume : 13
Pages : 111-128
2005

Upper estimate of overrunning by Sub φ (Ω) random process the level specified by continuous function

Authors : Olga Vasylyk , Yuriy Kozachenko , Rostyslav Yamnenko
Journal : Random Operators and Stochastic Equations
Journal Reference count : 6
Volume : 13
2005

Simulation of Weakly Self-Similar Stationary Increment $${\text{Sub}}_{\varphi } {\left( \Omega \right)}$$ -Processes: A Series Expansion Approach

Authors : Yuriy Kozachenko , Tommi Sottinen , Olga Vasylyk
Journal : Methodology and Computing in Applied Probability
Journal Reference count : 13
Volume : 7
Pages : 379-400
2005