Asymptotics in the Thurstone model with an increasing items.

The Thurstone model is a common model for analyzing the paired comparison data. However, there is lack of asymptotic properties for the moment estimator of parameters in this model. 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. [ABSTRACT FROM AUTHOR]