Tilted Nonparametric Estimation of Volatility Functions With Empirical Applications

A-Tier
Journal: Journal of Business & Economic Statistics
Year: 2011
Volume: 29
Issue: 4
Pages: 518-528

Score contribution per author:

2.011 = (α=2.01 / 2 authors) × 2.0x A-tier

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

Abstract

This article proposes a novel positive nonparametric estimator of the conditional variance function without reliance on logarithmic or other transformations. The estimator is based on an empirical likelihood modification of conventional local-level nonparametric regression applied to squared residuals of the mean regression. The estimator is shown to be asymptotically equivalent to the local linear estimator in the case of unbounded support but, unlike that estimator, is restricted to be nonnegative in finite samples. It is fully adaptive to the unknown conditional mean function. Simulations are conducted to evaluate the finite-sample performance of the estimator. Two empirical applications are reported. One uses cross-sectional data and studies the relationship between occupational prestige and income, and the other uses time series data on Treasury bill rates to fit the total volatility function in a continuous-time jump diffusion model.

Technical Details

RePEc Handle
repec:taf:jnlbes:v:29:y:2011:i:4:p:518-528
Journal Field
Econometrics
Author Count
2
Added to Database
2026-01-29