@article{oai:soar-ir.repo.nii.ac.jp:00020886, author = {Sheena, Yo}, issue = {16}, journal = {COMMUNICATIONS IN STATISTICS-THEORY AND METHODS}, month = {}, note = {Published online: 13 Nov 2017, For a given parametric probability model, we consider the risk of the maximum likelihood estimator with respect to -divergence, which includes the special cases of Kullback-Leibler divergence, the Hellinger distance, and essentially (2)-divergence. The asymptotic expansion of the risk is given with respect to sample sizes up to order n(- 2). Each term in the expansion is expressed with the geometrical properties of the Riemannian manifold formed by the parametric probability model., Article, COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. 47(16):4059-4087 (2018)}, pages = {4059--4087}, title = {Asymptotic expansion of the risk of maximum likelihood estimator with respect to -divergence}, volume = {47}, year = {2018} }