대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제19권4호
  • /
  • Pages.765-773
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  • 2004
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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STRONG LAWS OF LARGE NUMBERS FOR ASYMPTOTICALLY QUADRANT INDEPENDENT RANDOM FIELDS

  • Ko, Mi-Hwa (Statistical Research Center for Complex Systems Seoul National University) ;
  • Kim, Tae-Sung (Department of Mathematics and Institute of Basic Science WonKwang University) ;
  • Kim, Hyun-Chull (Division of Computer and Information Science Daebul University)
  • 발행 : 2004.10.01
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초록

In this paper we define the notion of asymptotically quadrant independent random field and derive the strong laws of large numbers for this random field.

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참고문헌

  1. T. Birkel, A note on the strong law of large numbers for positively dependent random variables, Statist. Probab. Lett. 7 (1989), 17-20 https://doi.org/10.1016/0167-7152(88)90080-6
  2. T. Birkel, Laws of large numbers under dependence assumptions, Statist. Probab. Lett. 14 (1992), 355-362. https://doi.org/10.1016/0167-7152(92)90096-N
  3. N. Etemadi, On the strong laws of large numbers for nonnegative random variables, J. Multivariate Anal. 13 (1983), 187-193. https://doi.org/10.1016/0047-259X(83)90013-1
  4. E. L. Lehmann, Some concepts of dependence, Ann. Math. Statist. 37 (1966), 1137-1153. https://doi.org/10.1214/aoms/1177699260
  5. C. M. Newman, Asymptotic independence and limit theorems for positively and negatively dependent random variables. in : Y.L. Tong, ed., Inequalities in Statistics and Probability, IMS, Hayward CA, 1984, 127-140. https://doi.org/10.1214/lnms/1215465639

피인용 문헌

  1. Moment inequalities and convergence rates in the strong laws for ρ−- mixing random fields vol.39, pp.2, 2006, https://doi.org/10.1007/s10910-005-9028-y