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Expected values in the alternative set theory and their applications to some limit theorems. (English) Zbl 0802.60023
Some classical limit theorems are proved by using the methods of alternative set theory. The proofs are based on a characterization of the distribution of random variables by means of their moments.
MSC:
60F05 Central limit and other weak theorems
26E35 Nonstandard analysis
60A99 Foundations of probability theory
60F99 Limit theorems in probability theory
03H05 Nonstandard models in mathematics
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