Research ArticlesNo Access

Adaptive Inference for the Bivariate Mean Function in Functional Data

Andrada E. Ivanescu

Department of Mathematical Sciences, Montclair State University, 242 Richardson Hall, Montclair, New Jersey 07043, USA

https://doi.org/10.1142/S2424922X1750005XCited by:1 (Source: Crossref)

Abstract

Inference methods are proposed for the bivariate mean function of a continuous stochastic process with a two-dimensional domain. Nonparametric bivariate estimation is facilitated by thresholded projection estimators. Estimators adapt to the sparsity of the bivariate function. Oracle inequality results are developed to describe the adaptive inference methods. The construction of nonparametric bivariate confidence bands is presented. Implementation results show the applicability of the methods in practice.

Keywords:

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