TY - JOUR
T1 - Preservation of stochastic orders for random minima and maxima, with applications
AU - Li, Xiaohu
AU - Zuo, Ming J.
PY - 2004/4
Y1 - 2004/4
N2 - It is shown, in this note, that the right spread order and the increasing convex order are both preserved under the taking of random maxima, and the total time on test transform order and the increasing concave order are preserved under the taking of random minima. Some inequalities and preservation properties in reliability and economics are given as applications.
AB - It is shown, in this note, that the right spread order and the increasing convex order are both preserved under the taking of random maxima, and the total time on test transform order and the increasing concave order are preserved under the taking of random minima. Some inequalities and preservation properties in reliability and economics are given as applications.
KW - Aging properties
KW - Increasing concave order
KW - Increasing convex order
KW - Lorenz order
KW - Parallel system
KW - Right spread order
KW - Series system
KW - Total time on test transform order
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U2 - 10.1002/nav.10122
DO - 10.1002/nav.10122
M3 - Article
AN - SCOPUS:1842559346
SN - 0894-069X
VL - 51
SP - 332
EP - 344
JO - Naval Research Logistics
JF - Naval Research Logistics
IS - 3
ER -