activity
20162025
most citedFiltering Problem for Functionals of Stationary Sequences

16 citations · 25 across the 15 of their papers we have counts for

collaborators

16 papers

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

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

Interpolation of functionals of stochastic sequences with stationary increments from observations with noise

Maksym Luz, Mykhailo Moklyachuk

The problem of optimal estimation of linear functional depending on the unknown values of a stochastic sequence with stationar…

math.ST2025

Robust extrapolation problem for stochastic sequences with stationary increments

Maksym Luz, Mykhailo Moklyachuk

The problem of optimal estimation of functionals and which depend on the unknown values…

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.ST2024★ 16 cited

Filtering Problem for Functionals of Stationary Sequences

Maksym Luz, Mikhail Moklyachuk

The problem of the mean-square optimal linear estimation of functionals which depend on the unknown values of a stationary stochastic sequence from observations of the sequence wit…

math.ST2024

Filtering of stochastic processes having periodically correlated increments

Maksym Luz, Mikhail Moklyachuk

We deal with the problem of the mean square optimal estimation of linear transformations of the unobserved values of a continuous time stochastic process with periodically correlat…

math.ST2023

Prediction problem for continuous time stochastic processes with periodically correlated increments observed with noise

Maksym Luz, Mikhail Moklyachuk

We propose solution of the problem of the mean square optimal estimation of linear functionals which depend on the unobserved values of a continuous time stochastic process with pe…

math.ST2023

Minimax interpolation of continuous time stochastic processes with periodically correlated increments observed with noise

Maksym Luz, Mikhail Moklyachuk

We deal with the problem of optimal estimation of the linear functionals constructed from the missed values of a continuous time stochastic process with periodically station…

math.ST2023

Filtering problem for sequences with periodically stationary multiseasonal increments with spectral densities allowing canonical factorizations

Maksym Luz, Mikhail Moklyachuk

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

math.ST2023

Estimation problem for continuous time stochastic processes with periodically correlated increments

Maksym Luz, Mikhail Moklyachuk

We deal with the problem of optimal estimation of the linear functionals constructed from unobserved values of a continuous time stochastic process with periodically correlated inc…

math.ST2021★ 1 cited

Minimax-robust estimation problems for sequences with periodically stationary increments observed with noise

Maksym Luz, Mikhail Moklyachuk

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

math.ST2021

Robust filtering of sequences with periodically stationary multiplicative seasonal increments

Maksym Luz, Mikhail Moklyachuk

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

math.ST2020

Minimax-robust forecasting of sequences with periodically stationary long memory multiple seasonal increments

Maksym Luz, Mikhail Moklyachuk

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

math.PR2016★ 3 cited

Minimax interpolation of sequences with stationary increments and cointegrated sequences

Maksym Luz, Mikhail Moklyachuk

We consider the problem of optimal estimation of the linear functional depending on the unknown values of a stochastic sequence with stationary i…