Bounds for the r-weighted Gini mean difference of an empirical distribution

Bounds for the Weighted Gini Mean Difference of an Empirical Distribution

In the paper, we obtain various bounds for more general weighted Gini mean difference of an empirical distribution, which extend the results of Cerone and Dragomir in [2].

Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm

Let A = (an;k)n;k1 and B = (bn;k)n;k1 be two non-negative ma-trices. Denote by Lv;p;q;B(A), the supremum of those L, satisfying the followinginequality:k Ax kv;B(q) L k x kv;B(p);where x 0 and x 2 lp(v;B) and also v = (vn)1n=1 is an increasing, non-negativesequence of real numbers. In this paper, we obtain a Hardy-type formula forLv;p;q;B(H), where H is the Hausdor matrix and 0 < q p 1. Also...

Weighted f-Gini mean difference for convex and symmetric functions in linear spaces

The concept of weighted f Gini mean di¤ erence for convex and symmetric functions in linear spaces is introduced. Some fundamental inequalities and applications for norms are also provided. 1. Introduction The Gini mean di¤erence of the sample a = (a1; : : : ; an) 2 R is de…ned by G (a) = 1 2n2 n X

Lower bounds of Copson type for the transpose of matrices on weighted sequence spaces

Exact maximum coverage probabilities of confidence intervals with increasing bounds for Poisson distribution mean

 ‎A Poisson distribution is well used as a standard model for analyzing count data‎. ‎So the Poisson distribution parameter estimation is widely applied in practice‎. ‎Providing accurate confidence intervals for the discrete distribution parameters is very difficult‎. ‎So far‎, ‎many asymptotic confidence intervals for the mean of Poisson distribution is provided‎. ‎It is known that the coverag...