Download E-books Contributions to a General Asymptotic Statistical Theory (Lecture Notes in Statistics, No. 13) PDF
By J. Pfanzagl
The aso thought built in Chapters eight - 12 presumes that the tan gent cones are linear areas. within the current bankruptcy we gather a couple of average examples the place the tangent cone fails to be a linear area. those examples are to remind the reader that an extension of the theo ry to convex tangent cones is needed. because the effects aren't wanted within the remainder of the booklet, we're extra beneficiant ab out regularity condi tions. the typical function of the examples is the next: Given a pre order (i.e., a reflexive and transitive order relation) on a kinfolk of p-measures, and a subfamily i of order an identical p-measures, the fa mily contains p-measures related with the weather of i. This frequently results in a (convex) tangent cone 1f basically p-measures better (or smaller) than these in i are thought of, or to a tangent co ne con sisting of a convex cone and its reflexion approximately zero if either smaller and bigger p-measures are allowed. For partial orders (i.e., antisymmetric pre-orders), ireduces to a unmarried p-measure. we don't imagine the p-measures in to be pairwise similar.