L r convergence for B-valued random elements

Author:

Chen Ping Yan,Wang Ding Cheng

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference20 articles.

1. Hoffmann-Jørgensen, J., Pisier, G.: The law of large numbers and the central limit theorem in Banach spaces. Ann. Probab., 4, 587–599 (1976)

2. Azlarov, T. A., Volodin, N. A.: Laws of large numbers for indentically distributed Banach-space valued random variables. Theory Probab. and Its Appl., 26, 537–580 (1981)

3. Pyke, K., Root, D.: On convergence in r-mean of normalized partial sums. Ann. Math. Statist., 32, 379–381 (1968)

4. Cabrera, M. O., Volodin, A. I.: Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability. J. Math. Anal. Appl., 305, 644–658 (2005)

5. Gan, S. X.: Characterization of type p Banach spaces by the weak law of large numbers. Wuhan University Journal of Natural Sciences, 7, 14–19 (2001)

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