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Asymptotics in the Thurstone model with an increasing items

Author

Listed:
  • Wang Yuyun
  • Luo Jing
  • Xu Zhimeng
  • Lewei Zhou

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.

Suggested Citation

  • Wang Yuyun & Luo Jing & Xu Zhimeng & Lewei Zhou, 2023. "Asymptotics in the Thurstone model with an increasing items," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(22), pages 8038-8052, November.
    • Handle: RePEc:taf:lstaxx:v:52:y:2023:i:22:p:8038-8052
    DOI: 10.1080/03610926.2022.2056201
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