Sufficient and necessary conditions of complete convergence for weighted sums of \(\tilde\rho\)-mixing random variables (Q1714689)
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scientific article; zbMATH DE number 7010699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sufficient and necessary conditions of complete convergence for weighted sums of \(\tilde\rho\)-mixing random variables |
scientific article; zbMATH DE number 7010699 |
Statements
Sufficient and necessary conditions of complete convergence for weighted sums of \(\tilde\rho\)-mixing random variables (English)
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1 February 2019
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Summary: The equivalent conditions of complete convergence are established for weighted sums of \(\tilde\rho\)-mixing random variables with different distributions. Our results extend and improve the Baum and Katz complete convergence theorem. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequence of \(\tilde\rho\)-mixing random variables is obtained.
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