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