Complete \(f\)-moment convergence for maximal randomly weighted sums of arrays of rowwise widely orthant dependent random variables and its statistical applications. (English) Zbl 1536.60034
Summary: In this paper, we study the complete \(f\)-moment convergence for maximal randomly weighted sums of arrays of rowwise widely orthant dependent random variables under some general conditions. The results obtained in the paper extend and improve some previous known ones. As applications of our main results, we not only present convergence for the state observers of linear-time-invariant systems but also obtain complete consistency for the estimators of errors-in-variables regression models based on widely orthant dependent errors. We further perform a numerical simulation to verify the validity of the theoretical results.
Keywords:
widely orthant depndent (WOD) random variables; complete moment convergence; complete \(f\)-moment convergence; randomly weighted sums; complete consistencyReferences:
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