Ogasawara, Haruhiko - In: Computational Statistics 28 (2013) 6, pp. 2559-2583
Asymptotic cumulants of the Bayes modal estimators of item parameters using marginal likelihood in item response theory are derived up to the fourth order with added higher-order asymptotic variances under possible model misspecification. Among them, only the first asymptotic cumulant and the...