Convergence Rates In The Law Of Large Numbers And New Kinds Of Convergence Of Random Variables
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS(2021)
摘要
In this paper, we first study convergence rates in the law of large numbers for independent and identically distributed random variables. We obtain a strong L-p-convergence version and a strongly almost sure convergence version of the law of large numbers. Second, we investigate several new kinds of convergence of random variables and discuss their relations and properties.
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关键词
Law of large numbers, strongly almost sure convergence, strong convergence in distribution, strong L-p-convergence
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