대한수학회지 (Journal of the Korean Mathematical Society)

  • 제41권5호
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  • Pages.883-894
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  • 2004
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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CONVERGENCE OF WEIGHTED SUMS FOR DEPENDENT RANDOM VARIABLES

  • Liang, Han-Yang (Department of Applied Mathematics Tongji University) ;
  • Zhang, Dong-Xia (Department of Applied Mathematics Tongji University) ;
  • Baek, Jong-Il (School of Mathematics and Informational Statistics and Institute of Basic Natural Science)
  • 발행 : 2004.09.01
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초록

We discuss in this paper the strong convergence for weighted sums of negative associated (in abbreviation: NA) arrays. Meanwhile, the central limit theorem for weighted sums of NA variables and linear process based on NA variables is also considered. As corollary, we get the results on iid of Li et al. ([10]) in NA setting.

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참고문헌

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피인용 문헌

  1. Asymptotics of estimators in semi-parametric model under NA samples vol.136, pp.10, 2006, https://doi.org/10.1016/j.jspi.2005.01.008
  2. An almost sure central limit theorem for products of sums of partial sums under association vol.355, pp.2, 2009, https://doi.org/10.1016/j.jmaa.2009.01.071
  3. Asymptotic normality and strong consistency of LS estimators in the EV regression model with NA errors vol.54, pp.1, 2013, https://doi.org/10.1007/s00362-011-0418-x
  4. An Extension of the Almost Sure Central Limit Theorem for Products of Sums Under Association vol.42, pp.3, 2013, https://doi.org/10.1080/03610926.2011.581790
  5. ON ALMOST SURE CONVERGENCE FOR WEIGHTED SUMS OF LNQD RANDOM VARIABLES vol.34, pp.2, 2012, https://doi.org/10.5831/HMJ.2012.34.2.241
  6. Convergence of Weighted Linear Process forρ-Mixing Random Variables vol.2007, 2007, https://doi.org/10.1155/2007/74634
  7. An almost sure central limit theorem for products of sums under association vol.78, pp.4, 2008, https://doi.org/10.1016/j.spl.2007.07.009
  8. Evaluating prognostic accuracy of biomarkers in nested case-control studies vol.13, pp.1, 2012, https://doi.org/10.1093/biostatistics/kxr021
  9. On Convergence of Weighted Sums of LNQD Random vol.19, pp.5, 2012, https://doi.org/10.5351/CKSS.2012.19.5.647
  10. Empirical likelihood for partially linear models under negatively associated errors vol.29, pp.4, 2016, https://doi.org/10.1007/s11424-015-4258-y