Complete moment convergence for weighted sums of arrays of Banach-space-valued random elements

• Autores: Yongfeng Wu, Mingzhu Song
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 67, Fasc. 3, 2016, págs. 363-371
• Idioma: inglés
• DOI: 10.1007/s13348-015-0143-1
• Texto completo no disponible (Saber más ...)
• Resumen

  • The authors study the complete moment convergence for weighted sums of arrays of Banach space valued random elements. The results in this paper improve the corresponding theorems of Qiu et al. (Lith Math J 52(3):316–325, 2012).

• Referencias bibliográficas
  • Hsu, P.L., Robbins, H.: Complete convergence and the law of large numbers. Proc. Natl. Acad. Sci. 33, 25–31 (1947)
  • Chow, Y.S.: On the rate of moment complete convergence of sample sums and extremes. Bull. Inst. Math. Acad. Sin. 16, 177–201 (1988)
  • Sung, S.H.: Complete convergence for weighted sums of arrays of rowwise independent B-valued random variables. Stochastic Anal. Appl. 15,...
  • Ahmed, S.E., Giuliano Antonini, R., Volodin, A.: On the rate of complete convergence for weighted sums of arrays of Banach space valued random...
  • Hu, T.C., Li, D., Rosalsky, A., Volodin, A.: On the rate of complete convergence for weighted sums of arrays of Banach space valued random...
  • Volodin, A., Giuliano Antonini, R., Hu, T.C.: A note on the rate of complete convergence for weighted sums of arrays of Banach space valued...
  • Sung, S.H., Volodin, A.: On the rate of complete convergence for weighted sums of arrays of random elements. J. Korean Math. Soc. 43, 815–828...
  • Chen, P.Y., Sung, S.H., Volodin, A.: Rate of complete convergence for arrays of Banach space valued random elements. Siberian Adv. Math. 16,...
  • Kim, T.S., Ko, M.H.: On the complete convergence of moving average process with Banach space valued random elements. J. Theor. Probab. 21,...
  • Sung, S.H., Volodin, A.: A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements. Stochastic...
  • Qiu, D.H., Hu, T.C., Cabrera, M.O., Volodin, A.: Complete convergence for weighted sums of arrays of Banach-space-valued random elements....
  • Acosta, A.D.: Inequalities for B-valued random vectors with applications to the strong law of large numbers. Ann. Probab. 9, 157–161 (1981)