Nonlinear prediction via Hermite transformation

General prediction formulas involving Hermite polynomials are developed for time series expressed as a transformation of a Gaussian process. The prediction gains over linear predictors are examined numerically, demonstrating the improvement of nonlinear prediction.

Bibliographic Details
Main Authors: Tucker McElroy, Srinjoy Das
Format: Article
Language:English
Published: Taylor & Francis Group 2021-01-01
Series:Statistical Theory and Related Fields
Subjects:
Online Access:http://dx.doi.org/10.1080/24754269.2020.1856589
Description
Summary:General prediction formulas involving Hermite polynomials are developed for time series expressed as a transformation of a Gaussian process. The prediction gains over linear predictors are examined numerically, demonstrating the improvement of nonlinear prediction.
ISSN:2475-4269
2475-4277