Kolmogorov's and Mourier's Strong Laws for Arrays with Independent and Identically Distributed Columns
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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Almost sure convergence of averages of the rows is proven for arrays of random variables and for random elements in Banach spaces, which can be extended to square arrays with independent and identically distributed columns. The result requires that each column converge to a limiting random variables. A counterexample is given to show that the result fails without the condition on the columns.
- Theoretical Mathematics