Iterative Distributed Multinomial Regression

Fuente: arXiv
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Autori principali: Fan, Yanqin, Okar, Yigit, Shi, Xuetao
Natura: Preprint
Pubblicazione: 2024
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author Fan, Yanqin
Okar, Yigit
Shi, Xuetao
author_facet Fan, Yanqin
Okar, Yigit
Shi, Xuetao
contents This article introduces an iterative distributed computing estimator for the multinomial logistic regression model with large choice sets. Compared to the maximum likelihood estimator, the proposed iterative distributed estimator achieves significantly faster computation and, when initialized with a consistent estimator, attains asymptotic efficiency under a weak dominance condition. Additionally, we propose a parametric bootstrap inference procedure based on the iterative distributed estimator and establish its consistency. Extensive simulation studies validate the effectiveness of the proposed methods and highlight the computational efficiency of the iterative distributed estimator.
format Preprint
id arxiv_https___arxiv_org_abs_2412_01030
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Iterative Distributed Multinomial Regression
Fan, Yanqin
Okar, Yigit
Shi, Xuetao
Econometrics
This article introduces an iterative distributed computing estimator for the multinomial logistic regression model with large choice sets. Compared to the maximum likelihood estimator, the proposed iterative distributed estimator achieves significantly faster computation and, when initialized with a consistent estimator, attains asymptotic efficiency under a weak dominance condition. Additionally, we propose a parametric bootstrap inference procedure based on the iterative distributed estimator and establish its consistency. Extensive simulation studies validate the effectiveness of the proposed methods and highlight the computational efficiency of the iterative distributed estimator.
title Iterative Distributed Multinomial Regression
topic Econometrics
url https://arxiv.org/abs/2412.01030