A Smoothed GMM for Dynamic Quantile Preferences Estimation

Fuente: arXiv
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Main Authors: Liu, Xin, de Castro, Luciano, Galvao, Antonio F.
Format: Preprint
Published: 2026
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author Liu, Xin
de Castro, Luciano
Galvao, Antonio F.
author_facet Liu, Xin
de Castro, Luciano
Galvao, Antonio F.
contents This paper suggests methods for estimation of the $τ$-quantile, $τ\in(0,1)$, as a parameter along with the other finite-dimensional parameters identified by general conditional quantile restrictions. We employ a generalized method of moments framework allowing for non-linearities and dependent data, where moment functions are smoothed to aid both computation and tractability. Consistency and asymptotic normality of the estimators are established under weak assumptions. Simulations illustrate the finite-sample properties of the methods. An empirical application using a quantile intertemporal consumption model with multiple assets estimates the risk attitude, which is captured by $τ$, together with the elasticity of intertemporal substitution.
format Preprint
id arxiv_https___arxiv_org_abs_2601_20853
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Smoothed GMM for Dynamic Quantile Preferences Estimation
Liu, Xin
de Castro, Luciano
Galvao, Antonio F.
General Economics
Economics
This paper suggests methods for estimation of the $τ$-quantile, $τ\in(0,1)$, as a parameter along with the other finite-dimensional parameters identified by general conditional quantile restrictions. We employ a generalized method of moments framework allowing for non-linearities and dependent data, where moment functions are smoothed to aid both computation and tractability. Consistency and asymptotic normality of the estimators are established under weak assumptions. Simulations illustrate the finite-sample properties of the methods. An empirical application using a quantile intertemporal consumption model with multiple assets estimates the risk attitude, which is captured by $τ$, together with the elasticity of intertemporal substitution.
title A Smoothed GMM for Dynamic Quantile Preferences Estimation
topic General Economics
Economics
url https://arxiv.org/abs/2601.20853