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20162026
most citedMinimax-robust estimation problems for stationary stochastic sequences

21 citations · 57 across the 29 of their papers we have counts for

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10 papers · 1 filter

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★ 1 cited

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…

math.ST2025

Filtering Problem for Functionals of Stationary Processes with Missing Observations

Mykhailo Moklyachuk, Maria Sidei

The problem of the mean-square optimal linear estimation of the functional which depends on the unknown values of stochastic stationary process…

math.ST2025★ 4 cited

Filtering Problem for Random Processes with Stationary Increments

Maksym Luz, Mykhailo Moklyachuk

This paper deals with the problem of optimal mean-square filtering of the linear functionals and which depend on the…

math.ST2025

Robust extrapolation problem for random processes with stationary increments

Maksym Luz, Mikhail Moklyachuk

The problem of optimal estimation of linear functionals and depending on the unknown values of random process $ξ(t…

math.ST2025

Estimation of periodically correlated random fields that are isotropic on a sphere

Iryna Golichenko, Oleksandr Masyutka, Mykhailo Moklyachuk

The problem of optimal linear estimation of functionals depending on the unknown values of a spatial temporal isotropic random field , which is periodically correlated with…

math.ST2025

On interpolation problem for multidimensional harmonizable stable sequences with noise observations

Mikhail Moklyachuk

We consider the problem of optimal linear estimation of the functional that depends on the unknown values $\vecξ(j),j=0…