Mean convergence theorems for the maximum normed partial sums of random vectors in Hilbert spaces under a general condition of weighted integrability

Cites Work

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Baum-Katz type theorems for coordinatewise negatively associated random vectors in Hilbert spaces
On the negative dependence in Hilbert spaces with applications.
Mean convergence theorems for weighted sums of arrays of residually \(h\)-integrable random variables concerning the weights under dependence assumptions
Convergence of weighted sums of random variables and uniform integrability concerning the weights
Cesàro \({\alpha}\)-integrability and laws of large numbers. I
Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability
Negative association of random variables, with applications
Uniform asymptotics for the finite-time ruin probability of a dependent risk model with a constant interest rate
Limiting behaviour for arrays of rowwise widely orthant dependent random variables under conditions of R − h-integrability and its applications
Some Concepts of Dependence
Sharp sufficient conditions for mean convergence of the maximal partial sums of dependent random variables with general norming sequences
Generalized weak laws of large numbers in Hilbert spaces

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