most citedMinimax-robust estimation problems for stationary stochastic sequences

21 citations · 37 across the 5 of their papers we have counts for

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5 papers

math.ST202421 cited

Minimax-robust estimation problems for stationary stochastic sequences

Mikhail Moklyachuk

This survey provides an overview of optimal estimation of linear functionals which depend on the unknown values of a stationary stochastic sequence. Based on observations of the se…

math.ST202416 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

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…