Ogasawara, Haruhiko - In: Journal of Multivariate Analysis 114 (2013) C, pp. 359-377
Asymptotic cumulants of the Bayes and pseudo Bayes estimators of ability in item response theory are obtained up to the fourth order with the higher-order asymptotic variance under possible model misspecification. Typical estimators are treated as special cases of the (pseudo) Bayes estimator...