This paper is concerned with the study of some properties of the distance between statistical individuals based on representations on the dual tangent space of a parametric manifold representation of a statistical model. Explicit expressions for distances are obtained for well-known families of distributions. We have also considered applications of the distance to parameter estimation, testing statistical hypotheses and discriminant analysis.
@article{urn:eudml:doc:40105, title = {Some remarks on the individuals-score distance and its applications to statistical inference.}, journal = {Q\"uestii\'o}, volume = {16}, year = {1992}, pages = {43-57}, mrnumber = {MR1275337}, zbl = {1167.62333}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40105} }
Miñarro, Antonio; Oller, Josep M. Some remarks on the individuals-score distance and its applications to statistical inference.. Qüestiió, Tome 16 (1992) pp. 43-57. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40105/