The purpose of this paper is to establish the stochastic comparisons of order statistics from two samples in the sense of likelihood ratio order. We strengthen and complement some results in Zhao and Balakrishnan (2012) and Ding et al. (2013).

This paper studies capital allocation problems using a general loss function. Stochastic comparisons are conducted for general loss functions in several scenarios: independent and identically distributed risks; independent but non-identically distributed risks; comonotonic risks. Applications in...