The notion of Schur-convex stochastic processes is introduced and processes generating Schur-convex sums are investigated. Some inequalities connected with convex stochastic processes are obtained. A counterpart of the result of Ng stating that a stochastic process generates Schur-convex sums if and only if it is Wright-convex is proved.

中文翻译：

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产生Schur凸和的随机过程

介绍了Schur-凸随机过程的概念，并对产生Schur-凸和的过程进行了研究。得到了一些与凸随机过程有关的不等式。与Ng的结果相反，该事实表明，当且仅当证明随机过程为Wright凸时，才会产生Schur凸和。