Minimax interpolation of sequences with stationary increments and cointegrated sequences

We consider the problem of optimal estimation of the linear functional $A_{N}\xi ={\sum _{k=0}^{N}}a(k)\xi (k)$ depending on the unknown values of a stochastic sequence $\xi (m)$ with stationary increments from observations of the sequence $\xi (m)+\eta (m)$ at points of the set $\mathbb{Z}\setminus...

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Bibliographic Details
Main Authors: Maksym Luz, Mikhail Moklyachuk
Format: Article
Language:English
Published: VTeX 2016-04-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/16-VMSTA51