This article is a survey of results concerning an inequality, which may be seen as versatile tool to solve problems in the domain Applied Probability. The we call BRS-inequality, gives convenient upper bound for expected maximum number non-negative random variables one can sum up without exceeding given s>0. One valuable property BRS-inequality that it valid any hypothesis about independence va...

in order to estimate the effects of the macrc~econornic indicators on the income distribution of iran, the time series data during the period of 1971-1991 were used. first the yammetric inequality indicators (the gini coefficients) were estimated for the years 1991-1972. the results show the lowest level of inequality in 1980 with g=0.42 and the highest level in 1982 with g=0.55. arzulysing the...

equitable distribution of income and economic growth are challenges for policy-makers. therefore, it is important to investigate the influencing factors of it. given that financial development is an important factor affecting on income inequality, in this study, the effect of financial development on the gini coefficient as income inequality index is examined with using panel data methods durin...

We prove the nondegeneracy condition for stable solutions to one-phase free boundary problem. The proof is by a De Giorgi iteration, where we need Sobolev inequality of Michael and Simon and, consequently, an integral estimate mean curvature boundary. then apply obtain local bounds boundaries in dimension n, provided Bernstein-type theorem stable, entire same valid. In particular, this $$n=2$$ ...

Through utilizing US state-level data at annual frequency from 1976 to 2008, this paper documents a causal effect of infrastructure investments, specifically public spending on highways, on income inequality. The number of seats in the US House of Representatives Committee On Appropriations serves as a valid instrument to identify quasi-random variations in state-level spending on highways. Whe...

Because the Israeli kibbutz is innovative in collective ownership, production, consumption, and child care, and in part also because it is erroneously assumed to have once had a gender-egalitarian ideology and structure, it is taken to be a valid test case for many theories explaining or justifying gender inequality or gender equality. This article argues that the kibbutz cannot serve as a test...

Sparse regression techniques have been popular in recent years because of their ability in handling high dimensional data with built-in variable selection.The lasso is perhaps one of the most well-known examples. Despite intensive work in this direction, how to provide valid inference for sparse regularized methods remains a challenging statistical problem. We take a unique point of view of thi...

Let P := {x∈Rn: Ax6 b} be a polyhedron and PI its integral hull. A Chv atal–Gomory (CG) cut is a valid inequality for PI of the form ( A)x6 b , with ∈R+; TA∈ Z and b ∈ Z . We give a polynomial-time algorithm which, given some x∗ ∈P, detects whether a totally tight CG cut exists, i.e., whether there is a CG cut such that ( TA)x∗= b. Such a CG cut is violated by as much as possible under the assu...

In their 2007 paper, E.S. Allman and J.A. Rhodes characterise the phylogenetic ideal of general Markov distributions for binary data on the leaves of a tree. Further, as yet unpublished, results by Zwiernik, Maclagan and Smith enable us to check simple inequality constraints to ensure the joint probabilities are valid for the model. We investigate the use of these results in the finding of maxi...