Multiway empirical likelihood

D. Chiang, Harold, Matsushita, Yukitoshi and Otsu, Taisuke ORCID: 0000-0002-2307-143X (2024) Multiway empirical likelihood. Journal of Econometrics. ISSN 0304-4076 (In Press)

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Abstract

This paper develops a general methodology to conduct statistical inference for observations indexed by multiple sets of entities. We propose a novel multiway empirical likelihood statistic that converges to a chi-square distribution under the non-degenerate case, where corresponding Hoeffding type decomposition is dominated by linear terms. Our methodology is related to the notion of jackknife empirical likelihood but the leave-out pseudo values are constructed by leaving out columns or rows. We further develop a modified version of our multiway empirical likelihood statistic, which converges to a chi-square distribution regardless of the degeneracy, and discuss its desirable higher-order property in a simplified setup. The proposed methodology is illustrated by several important econometric problems, such as bipartite network, generalized estimating equations, and three-way observations.

Item Type:	Article
Official URL:	https://www.sciencedirect.com/journal/journal-of-e...
Additional Information:	© 2024 Elsevier
Divisions:	Economics
Subjects:	H Social Sciences > HB Economic Theory
Date Deposited:	29 Jul 2024 13:30
Last Modified:	18 Nov 2024 20:24
URI:	http://eprints.lse.ac.uk/id/eprint/124395

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