Asymptotics in the Thurstone model with an increasing items

Wang Yuyun, Luo Jing, Xu Zhimeng and Lewei Zhou

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 22, 8038-8052

Abstract: 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.

Date: 2023
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DOI: 10.1080/03610926.2022.2056201

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