Strong Limit Theorems for Dependent Random Variables

In This Article We establish moment inequality of dependent random variables,furthermore some theorems of strong law of large numbers and complete convergence for sequences of dependent random variables. In particular, independent and identically distributed Marcinkiewicz Law of large numbers are generalized to the case of m0-dependent sequences.

Authors:

• Libin Wu
• Bainian Li

Keywords:

• Lacunary System
• Generalized Gaussian
• NA sequences
• strong law of large numbers.

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