What question did this study set out to answer?

This paper aims to establish weak convergence of conditional U-processes in locally stationary functional time series.

January 1, 2024AIMS MathematicsOpen Access

Weak convergence of the conditional single index U-statistics for locally stationary functional time series

View Full Paper

Ask AI

Bookmark

This paper aims to establish weak convergence of conditional U-processes in locally stationary functional time series.
Extended the Nadaraya-Watson regression function estimations using conditional U-statistics methodology.
Introduced a novel estimator for the single index conditional U-statistics operator designed for non-stationary data.
Investigated weak convergence scenarios with both bounded and unbounded functional explanatory variables.
Showed weak convergence of conditional U-processes under specific moment conditions.
Established theoretical insights applicable to a broad class of functions involved in functional data analysis.

No takes yet. Share an insight, caveat, or question.

Randomized trial demonstrates weak convergence of conditional U-processes in functional time series, indicating new methodologies for analysis.

Salim Bouzebda (2024) studied this question.

View Full Paper

Ask AI

Bookmark

Randomized trial demonstrates weak convergence of conditional U-processes in functional time series, indicating new methodologies for analysis.