Multivariate Tests of Mean-Variance Efficiency and Spanning With a Large Number of Assets and Time-Varying Covariances

A-Tier
Journal: Journal of Business & Economic Statistics
Year: 2016
Volume: 34
Issue: 2
Pages: 161-175

Authors (2)

Sermin Gungor (not in RePEc) Richard Luger (Université Laval)

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

We develop a finite-sample procedure to test the mean-variance efficiency and spanning hypotheses, without imposing any parametric assumptions on the distribution of model disturbances. In so doing, we provide an exact distribution-free method to test uniform linear restrictions in multivariate linear regression models. The framework allows for unknown forms of nonnormalities as well as time-varying conditional variances and covariances among the model disturbances. We derive exact bounds on the null distribution of joint <italic>F</italic> statistics to deal with the presence of nuisance parameters, and we show how to implement the resulting generalized nonparametric bounds tests with Monte Carlo resampling techniques. In sharp contrast to the usual tests that are not even computable when the number of test assets is too large, the power of the proposed test procedure potentially increases along both the time and cross-sectional dimensions.

Technical Details

RePEc Handle
repec:taf:jnlbes:v:34:y:2016:i:2:p:161-175
Journal Field
Econometrics
Author Count
2
Added to Database
2026-01-25