Maximal non-exchangeability in dimension d
نویسندگان
چکیده
We give the maximal distance between a copula and itself when the argument is permuted for arbitrary dimension, generalizing a result for dimension two by Nelsen (2007); Klement and Mesiar (2006). Furthermore, we establish a subset of [0, 1] in which this bound might be attained. For each point in this subset we present a copula and a permutation, for which the distance in this point is maximal. In the process, we see that this subset depends on the dimension being even or odd.
منابع مشابه
On normalizers of maximal subfields of division algebras
Here, we investigate a conjecture posed by Amiri and Ariannejad claiming that if every maximal subfield of a division ring $D$ has trivial normalizer, then $D$ is commutative. Using Amitsur classification of finite subgroups of division rings, it is essentially shown that if $D$ is finite dimensional over its center then it contains a maximal subfield with non-trivial normalize...
متن کاملContact CR Submanifolds of maximal Contact CR dimension of Sasakian Space Form
In this paper, we investigate contact CR submanifolds of contact CR dimension in Sasakian space form and introduce the general structure of these submanifolds and then studying structures of this submanifols with the condition h(FX,Y)+h(X,FY)=g(FX,Y)zeta, for the normal vector field zeta, which is nonzero, and we classify these submanifolds.
متن کاملOne-point Goppa Codes on Some Genus 3 Curves with Applications in Quantum Error-Correcting Codes
We investigate one-point algebraic geometric codes CL(D, G) associated to maximal curves recently characterized by Tafazolian and Torres given by the affine equation yl = f(x), where f(x) is a separable polynomial of degree r relatively prime to l. We mainly focus on the curve y4 = x3 +x and Picard curves given by the equations y3 = x4-x and y3 = x4 -1. As a result, we obtain exact value of min...
متن کاملOptimal Designs with Non-exchangeable Runs
Popular algorithms for optimal design do not account for non-exchangeability of the basic experimental units. This paper introduces an algorithm for searching for D-optimal experimental designs in the presence of certain kinds of non-exchangeability|in particular, when there are xed covariates associated with units and/or when the units have a non-trivial covariance structure; this algorithm ex...
متن کاملNatural Invariant Measures, Divergence Points and Dimension in One-dimensional Holomorphic Dynamics
In this paper we discuss dimension-theoretical properties of rational maps on the Riemann sphere. In particular, we study existence and uniqueness of generalized physical measures for several classes of maps including hyperbolic, parabolic, non-recurrent and Topological Collet-Eckmann maps. These measures have the property that their typical points have maximal Hausdorff dimension. On the other...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- J. Multivariate Analysis
دوره 124 شماره
صفحات -
تاریخ انتشار 2014