Fatou's Lemma for Weakly Converging Probabilities
Fatou's Lemma for Weakly Converging Probabilities
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DOI：
10.1137/s0040585x97986850
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发表时间：
2012-06
期刊：
影响因子：
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通讯作者：
E. Feinberg;P. Kasyanov;N. V. Zadoianchuk
中科院分区：
文献类型：
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作者：
E. Feinberg;P. Kasyanov;N. V. Zadoianchuk
法图引理指出在适当的条件下，一个函数序列的下限的积分不大于该积分的下限。本说明描述了类似的不等式时，而不是一个单一的措施，功能是集成相对于不同的措施，形成一个弱收敛序列。
Fatou's lemma states under appropriate conditions that the integral of the lower limit of a sequence of functions is not greater than the lower limit of the integrals. This note describes similar inequalities when, instead of a single measure, the functions are integrated with respect to different measures that form a weakly convergent sequence.