Asymptotics in the Thurstone model with an increasing items

作者:Wang Yuyun; Luo Jing*; Xu Zhimeng; Zhou, Lewei
来源:COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52(22): 8038-8052.
DOI:10.1080/03610926.2022.2056201

摘要

The Thurstone model is a common model for analyzing the paired comparison data. However, the asymptotic properties of the parameter moment estimator for this model are lacking. Therefore, we prove uniform consistency and asymptotic normality of the moment estimator in the Thurstome model. Simulation studies and a data example illustrate the theoretical result.

全文