Excess wealth order and sample spacings

In this note, we further study the properties of excess wealth (or right spread) order and the location independent riskier order. It is proved that if XX is less variable than YY according to excess wealth order, then Xn:n−Xk:n≤icxYn:n−Yk:n for k=0,1,…,n−1k=0,1,…,n−1, where X0:n=Y0:n≡0X0:n=Y0:n≡0. Similar results are obtained for location independent riskier order. An application in kk-price business auction models is presented as well.