Let A and B be convex sets in containing the origin which are invariant under rotation around the origin by a 2[pi]/k angle, k=2,3,4,5,... . In this paper we establish the correlation inequality P(A[intersection]B)[greater-or-equal, slanted]P(A)P(B) under the N2(0,I2) distribution of X, for...

Analogues of the likelihood ratio, Rao, and Wald tests are introduced in discrete parametric models based on the family of penalized Hellinger distances. It is shown that the tests based on a particular member of this family provide attractive alternatives to the tests based on the ordinary...

Robust estimators are determined using the minimum disparity estimation method (Lindsay, 1994; Basu and Lindsay, 1994) in the errors-in-variables model. These estimators are asymptotically fully efficient for the model considered and have strong robustness features. In a numerical example these...