Omniscient 发表于 2025-3-28 17:49:29
The Strong Law of Large Numbers for Independent Random Variables,The celebrated . is a masterpiece on the strong law of large numbers for cumulative sums of independent random variables.平 发表于 2025-3-28 18:46:27
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The Law of the Iterated Logarithm,The first law of the iterated logarithm is proved for symmetric Bernoulli random variables, that is, for independent randomconjunctivitis 发表于 2025-3-29 03:41:15
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Boundedness of Multi-Indexed Series of Independent Random Variables, Example 6.1). The aim of this chapter is to find necessary and sufficient conditions for the boundedness of partial sums of a multi-indexed series and to establish a relationship between the convergence and boundedness for all ..compassion 发表于 2025-3-29 19:11:13
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Limit Theorems for Multi-Indexed Sums of Random Variables978-3-662-44388-0Series ISSN 2199-3130 Series E-ISSN 2199-3149insightful 发表于 2025-3-30 00:38:11
Some Remarks on the Theory of Limit Theorems for Multi-Indexed Sums, in more detail one of the results for multi-indexed sums that indeed follows easily from its classical counterpart (this is an example that supports the above mentioned point of view). Then we explain why this is not a universal phenomenon.美丽的写 发表于 2025-3-30 04:07:37
Renewal Theorems for Random Walks with Multi-Dimensional Time,classical case. It is worth mentioning that more complicated questions on the rate of convergence of renewal functions and processes constructed from multi-indexed sums of random variables still have no definite answers, since they depend on the Riemann hypothesis.