On the Strong Law of Large Numbers for a Sequence of Independent Random Variables
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DOI: 10.1007/s10958-017-3493-2
Abstract: New sufficient conditions for the applicability of the strong law of large numbers are established for a sequence of independent random variables. read more here.
Keywords: strong law; random variables; law large; large numbers ... See more keywords
The Hájek-Rényi-Chow maximal inequality and a strong law of large numbers in Riesz spaces
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DOI: 10.1016/j.jmaa.2019.123462
Abstract: In this paper we generalize the Hajek-Renyi-Chow maximal inequality for submartingales to $L^p$ type Riesz spaces with conditional expectation operators. As applications we obtain a submartingale convergence theorem and a strong law of large numbers… read more here.
Keywords: maximal inequality; strong law; chow maximal; riesz spaces ... See more keywords
Convergence rates in the law of large numbers for END linear processes with random coefficients
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DOI: 10.1080/03610926.2018.1530790
Abstract: Abstract In this paper, we consider convergence rates in the Marcinkiewicz–Zygmund law of the large numbers for the END linear processes with random coefficients. We extend some results of Baum and Katz (1965) to the… read more here.
Keywords: law large; large numbers; random coefficients; processes random ... See more keywords
On the Convergence and Law of Large Numbers for the Non-Euclidean Lp -Means
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DOI: 10.3390/e19050217
Abstract: This paper describes and proves two important theorems that compose the Law of Large Numbers for the non-Euclidean L p -means, known to be true for the Euclidean L 2 -means: Let the L p… read more here.
Keywords: numbers non; euclidean means; law large; large numbers ... See more keywords
Law of Large Numbers, Central Limit Theorem, and Law of the Iterated Logarithm for Bernoulli Uncertain Sequence
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DOI: 10.3390/sym14081642
Abstract: In order to describe human uncertainty more precisely, Baoding Liu established uncertainty theory. Thus far, uncertainty theory has been successfully applied to uncertain finance, uncertain programming, uncertain control, etc. It is well known that the… read more here.
Keywords: uncertain variables; limit; law large; large numbers ... See more keywords