论文标题
随机变量生成的随机均值:期望和限制定理
Random means generated by random variables: expectation and limit theorems
论文作者
论文摘要
我们介绍了由随机变量产生的随机均值的概念,并给出了其预期值的构造。我们得出了一些足够的条件,在这些条件下,大数字和某些限制定理的定理对于由一系列独立且相同分布的随机变量的元素产生的随机手段所具有。
We introduce the notion of a random mean generated by a random variable and give a construction of its expected value. We derive some sufficient conditions under which strong laws of large numbers and some limit theorems hold for random means generated by the elements of a sequence of independent and identically distributed random variables.