We obtain moment inequalities for the sum of the indicators of events and an upper estimate for a convex function of such a sum. Our results generalize inequalities that were obtained earlier for moment characteristics of the sojourn time of a random walk on a half-axis.

中文翻译：

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事件指标之和的函数不等式

我们获得事件指标之和的矩不等式，以及此类和的凸函数的上估计。我们的结果概括了不等式，该不等式是较早获得的半轴上随机游走的停留时间的矩特征。