A FUNCTIONAL VERSION OF THE ARCH MODEL

B-Tier
Journal: Econometric Theory
Year: 2013
Volume: 29
Issue: 2
Pages: 267-288

Authors (3)

Hörmann, Siegfried (not in RePEc) Horváth, Lajos (University of Utah) Reeder, Ron (not in RePEc)

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

Improvements in data acquisition and processing techniques have led to an almost continuous flow of information for financial data. High-resolution tick data are available and can be quite conveniently described by a continuous-time process. It is therefore natural to ask for possible extensions of financial time series models to a functional setup. In this paper we propose a functional version of the popular autoregressive conditional heteroskedasticity model. We will establish conditions for the existence of a strictly stationary solution, derive weak dependence and moment conditions, show consistency of the estimators, and perform a small empirical study demonstrating how our model matches with real data.

Technical Details

RePEc Handle
repec:cup:etheor:v:29:y:2013:i:02:p:267-288_00
Journal Field
Econometrics
Author Count
3
Added to Database
2026-02-02