2012•Journal of Longyan UniversityRequires access

Generalization and Application for a Class of Strong Laws of Large Numbers

Qiu Yong

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Abstract

The method of summability for a class of random variable sequence is introduced.The sufficient and necessary conditions for a class of strong laws of large numbers are proved.It is the generalization in some sense of the classical strong laws of large numbers of Kolmogorov and that of Marcinkiewicz.

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The method of summability for a class of random variable sequence is introduced.The sufficient and necessary conditions for a class of strong laws of large numbers are proved.It is the generalization in some sense of the classical strong laws of large numbers of Kolmogorov and that of Marcinkiewicz.

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Available abstract

The method of summability for a class of random variable sequence is introduced.The sufficient and necessary conditions for a class of strong laws of large numbers are proved.It is the generalization in some sense of the classical strong laws of large numbers of Kolmogorov and that of Marcinkiewicz.

Key concepts: Generalization, Mathematics, Class (philosophy), Sequence (biology), Law of large numbers, Law, Random variable, Variable (mathematics)

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