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20162026
most citedMinimax-robust estimation problems for stationary stochastic sequences

21 citations · 47 across the 14 of their papers we have counts for

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19 papers · 1 filter

math.ST2026

Minimax approach to the estimation problem for homogeneous random fields

Oleksandr Masyutka, Mikhail Moklyachuk

The problem of the mean-square optimal estimation of the linear functionals which depend on the unknown values of a multidimensional homogeneous random field from observations of t…

math.ST2025

On Minimax Estimation Problems for Periodically Correlated Stochastic Processes

Iryna Dubovets'ka, Mykhailo Moklyachuk

The aim of this article is to overview the problem of mean square optimal estimation of linear functionals which depend on unknown values of periodically correlated stochastic proc…

math.ST2025

Robust interpolation of sequences with periodically stationary multiplicative seasonal increments

Maksym Luz, Mykhailo Moklyachuk

We consider stochastic sequences with periodically stationary generalized multiple increments of fractional order which combines cyclostationary, multi-seasonal, integrated and fra…

math.ST2025

Interpolation Problem for Multidimensional Stationary Processes with Missing Observations

Oleksandr Masyutka, Mikhail Moklyachuk, Maria Sidei

The problem of the mean-square optimal linear estimation of linear functionals which depend on the unknown values of a multidimensional continuous time stationary stochastic proces…

math.ST2025

Extrapolation Problem for Multidimensional Stationary Sequences with Missing Observations

Oleksandr Masyutka, Mikhail Moklyachuk, Maria Sidei

This paper focuses on the problem of the mean square optimal estimation of linear functionals which depend on the unknown values of a multidimensional stationary stochastic sequenc…

math.ST2025

Robust Forecasting of Sequences with Periodically Stationary Long Memory Multiplicative Seasonal Increments Observed with Noise and Cointegrated Sequences

Maksym Luz, Mykhailo Moklyachuk

The problem of optimal estimation of linear functionals constructed from unobserved values of stochastic sequence with periodically stationary increments based on observations of t…