The Weak Convergence of Random Sums of ρ--Mixing Random Sequences

He Yu Li; Xi Li Tan

doi:10.4028/www.scientific.net/AMM.678.112

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 678The Weak Convergence of Random Sums of ρ--Mixing...

The Weak Convergence of Random Sums of ρ^--Mixing Random Sequences

Abstract:

Let {X_nk,n≥1,k≥1} be a ρ^--mixing random sequence, by using the moment inequality and truncation method, we studied the weak convergence of random sums for ρ^--mixing random sequence, which extended and improved some results in related literature.