In the paper we prove the S-inequality for certain product probability measures and ideals in Rn. As a result, for the Weibull and Gamma product distributions we derive concentration of measure type estimates as well as optimal comparison of moments. 2010 Mathematics Subject Classification. Primary 60G15; Secondary 60E15.

The question of obtaining more precise information about the term o(l) in (3) seems to have been first publicly raised by W. W. Sawyer [ l ] . Because of the interest of this problem in numerical analysis [2] it has been investigated by several workers [3; 4; 5] with the result that various upper and lower bounds for the rate of growth of this term are known. We have been able to determine the ...

We present a detailed analysis of assumptions that J. Bell used to show that local realism contradicts QM. We find that Bell’s viewpoint on realism is nonphysical, because it implicitly assume that observed physical variables coincides with ontic variables (i.e., these variables before measurement). The real physical process of measurement is a process of dynamical interaction between a system ...

Abstract This paper tracks distributional changes over the last quarter of the twentieth century. We focus on three conceptually distinct distributions: the distribution of wages, the distribution of annual earnings and the distribution of total family income adjusted for family size. We show that all three distributions became less equal during the last half of the 1970’s and the 1980’s. This ...

differing consumption patterns among individuals along with relative commodity price changes has made inflation effects differ from one person to another. on the other hand, inflation continues to be a general phenomenon in iranian economy. the impacts of price changes on rural poverty have been hereby investigated. for this, market price fluctuations in rural areas of fars province during the ...

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A cyclic sum S(x) ■ T.x¡/(xj+i + x, + 2) 's formed with the N components of a vector x, where xN+l « JCj, xN+2 =• x2, and where all denominators are positive and all numerators are nonnegative. It is known that there exist vectors x for which S(x) < N/2 if N > 14 and even, and if N > 25. It has been proved that the inequality S(\) > N/2 holds for N ^ 12. Although it has been conjectured repeate...

This paper explores the forces that shaped China’s interprovincial inequality in the last five decades of communist rule. In so far as the change in interprovincial inequality is the result of differential growth in the provincial GDP per capita and provincial economic growth may be decomposed into contributions by total factor productivity and other factor inputs, a new method is introduced, b...

In this paper we study the inequalities of the determinants of the positive definite matrices and the invertible matrices by applying the integral method and matrix theory such that extensions of Fan Ky’s inequality are established. And then an improvement of Fan Ky’s inequality is given by using the positive definiteness of Gram matrix. Mathematics Subject Classification (2010): 15A15, 26D15.