A note on Fisher's ‘average effect’ and ‘average excess’

Note on Max Lin-2 above Average

In the Max Lin-2 problem we are given a system S of m linear equations in n variables over F2 in which Equation j is assigned a positive integral weight wj for each j. We wish to find an assignment of values to the variables which maximizes the total weight of satisfied equations. This problem generalizes Max Cut. The expected weight of satisfied equations is W/2, where W = w1 + · · ·+ wm; W/2 ...

A note on dominating sets and average distance

We show that the total domination number of a simple connected graph is greater than the average distance of the graph minus one-half, and that this inequality is best possible. In addition, we show that the domination number of the graph is greater than two-thirds of the average distance minus one-third, and that this inequality is best possible. Although the latter inequality is a corollary t...

Average Treatment Effect

We are interested in average changes in outcome y after a policy change. As in the case of the medical field, we are interested in the outcomes of a new medicine, including its effectiveness and its side effect. To do that, it is typical that we randomly divide patients into two groups, the treatment group, and the control group. The treatment group is given the medicine while the control group...

On the Reversed Average Intensity Order

Based on the increasing property of ratio of average reversed hazard rates of two non-negative random variables a new stochastic order for the sake of comparison of two lifetime distributions is proposed. This stochastic order admits some distinguishing properties. In order to illustrate the obtained results, a semi-parametric model which is called reverse hazard power and a mixture model of pr...

Note on stability estimation in average Markov control processes