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Weak law of large numbers for adapted double arrays of random variables

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주제분류수학

초록

The aim of this paper is to extend the “classical degenerate convergence criterion” and the Feller weak law of large numbers to double adapted arrays of random variables.

Abstract

The aim of this paper is to extend the “classical degenerate convergence criterion” and the Feller weak law of large numbers to double adapted arrays of random variables.

참고문헌 (13)

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  4. "An extension of Feller’s weak law of large numbers"[URL]
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  8. D. H. Hong, "Marcinkiewicz-type law of large numbers for double arrays", Journal of the Korean Mathematical Society, 36(6), pp.1133~1143 (1999)
  9. P. Hall, "Martingale Limit Theory and Its Application, Probability and Mathematical Statistics" (1980), Academic Press, Inc.
  10. M. Loeve, "Probability Theory. I, Fourth edition. Graduate Texts in Mathematics, Vol. 45" (1977), Springer-Verlag
  11. S. H. Sung, "Weak law of large numbers for arrays", Statistics & Probability Letters, 38(2), pp.101~105 (1998)
  12. S. H. Sung, "On the weak laws for arrays of random variables", Statistics & Probability Letters, 72(4), pp.291~298 (2005)
  13. 성수학, "On the weak laws with random indices for partial sums for arrays of random elements in martingale type $p$ Banach spaces", 대한수학회지, 43(3), pp.543~549 (2006), 대한수학회

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