Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability

Author:

Ordóñez Cabrera Manuel,Volodin Andrei I.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference12 articles.

1. A mean convergence theorem and weak law for arrays of random elements in martingale type p Banach spaces;Adler;Statist. Probab. Lett.,1997

2. Convergence of Probability Measures;Billingsley,1968

3. Uniform integrability in the Cesàro sense and the weak law of large numbers;Chandra;Sankhyā Ser. A,1989

4. Cesàro uniform integrability and the strong law of large numbers;Chandra;Sankhyā Ser. A,1992

5. Cesàro α-integrability and laws of large numbers I;Chandra;J. Theoret. Probab.,2003

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