IJPAM: Volume 66, No. 1 (2011)
DOUBLE SYMMETRY MODELS FOR SQUARE
Department of Information Sciences
Faculty of Science and Technology
Tokyo University of Science
2641, Yamazaki, Noda City, Chiba, 278-8510, JAPAN
Abstract.For contingency tables, Bishop, Fienberg and Holland  gave the expected mean squared error (risk) of the maximum likelihood estimators (MLEs) of cell probabilities for the independence model, and Tahata, Miyamoto, Sasajima, and Tomizawa  gave the conditional risks of the MLEs for the symmetry and conditional symmetry models.
The present paper gives the risks of those for the point symmetry model and the double symmetry model for square contingency tables. The paper also compares the risks for these models.
Received: October 4, 2010
AMS Subject Classification: 62H17
Key Words and Phrases: double symmetry, mean squared error, point symmetry, risk, square tables
Source: International Journal of Pure and Applied Mathematics