Article ID Journal Published Year Pages File Type
10525057 Journal of Statistical Planning and Inference 2011 9 Pages PDF
Abstract
► Convolution of uniform random variables with different scale parameters is studied. ► Usual majorization, p-larger and reciprocal majorization (rm) orders are introduced. ► Mean residual functions (MRF) of these convolutions are ordered with respect to rm. ► Bounds on the MRF in terms of harmonic mean of scale parameters are obtained. ► These bounds are sharper than those in terms of arithmetic and geometric means.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
, ,