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Strong laws of large numbers for weighted sums of $$\tilde \rho $$ -mixing random variables

Strong laws of large numbers for weighted sums of $$\tilde \rho $$ -mixing random variables

Abstract Strong laws are established for linear statistics that are weighted sums of a $$\tilde \rho $$ -mixing random sample. The results obtained generalize the results of Baxter et al. [SLLN for weighted independent indentically distributed random variables, J. Theoret. Probab. 17 (2004), 165–181] to $$\tilde \rho $$ -mixing random …