By: |
Chronopoulos, Ilias;
Raftapostolos, Aristeidis;
Kapetanios, George |
Abstract: |
In this paper we use a deep quantile estimator, based on neural networks and
their universal approximation property to examine a non-linear association
between the conditional quantiles of a dependent variable and predictors. This
methodology is versatile and allows both the use of different penalty
functions, as well as high dimensional covariates. We present a Monte Carlo
exercise where we examine the finite sample properties of the deep quantile
estimator and show that it delivers good finite sample performance. We use the
deep quantile estimator to forecast Value-at-Risk and find significant gains
over linear quantile regression alternatives and other models, which are
supported by various testing schemes. Further, we consider also an alternative
architecture that allows the use of mixed frequency data in neural networks.
This paper also contributes to the interpretability of neural networks output
by making comparisons between the commonly used SHAP values and an alternative
method based on partial derivatives. |
Keywords: |
Quantile regression, machine learning, neural networks, value-at-risk, forecasting |
Date: |
2023–02–07 |
URL: |
http://d.repec.org/n?u=RePEc:esy:uefcwp:34837&r=for |