대한수학회지 (Journal of the Korean Mathematical Society)

  • 제49권6호
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  • Pages.1097-1110
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  • 2012
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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CONVERGENCE PROPERTIES OF THE PARTIAL SUMS FOR SEQUENCES OF END RANDOM VARIABLES

  • Wu, Yongfeng (Department of Mathematics and Computer Science Tongling University) ;
  • Guan, Mei (Department of Mathematics and Physics Hefei University)
  • 투고 : 2010.04.16
  • 발행 : 2012.11.01
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초록

The convergence properties of extended negatively dependent sequences under some conditions of uniform integrability are studied. Some sufficient conditions of the weak law of large numbers, the $p$-mean convergence and the complete convergence for extended negatively dependent sequences are obtained, which extend and enrich the known results in the literature.

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참고문헌

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  2. A. Bozorgnia, R. F. Patterson, and R. L. Taylor, Limit theorems for dependent random variables, World Congress of Nonlinear Analysts '92, Vol. I-IV (Tampa, FL, 1992), 1639-1650, de Gruyter, Berlin, 1996.
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  13. R. L. Taylor, R. F. Patterson, and A. Bozorgnia, Weak laws of large numbers for arrays of rowwise negatively dependent random variables, J. Appl. Math. Stochastic Anal. 14 (2001), no. 3, 227-236. https://doi.org/10.1155/S1048953301000181
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피인용 문헌

  1. Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables vol.2014, 2014, https://doi.org/10.1155/2014/478612
  2. The consistency of the nearest neighbor estimator of the density function based on WOD samples vol.429, pp.1, 2015, https://doi.org/10.1016/j.jmaa.2015.04.016
  3. Exponential probability inequality for $$m$$ m -END random variables and its applications vol.79, pp.2, 2016, https://doi.org/10.1007/s00184-015-0547-7
  4. Complete Convergence Theorems for Extended Negatively Dependent Random Variables vol.77, pp.1, 2015, https://doi.org/10.1007/s13171-014-0058-z
  5. Complete convergence and complete moment convergence for widely orthant-dependent random variables vol.46, pp.16, 2017, https://doi.org/10.1080/03610926.2016.1177085
  6. Complete convergence for weighted sums of END random variables and its application to nonparametric regression models vol.28, pp.4, 2016, https://doi.org/10.1080/10485252.2016.1225050
  7. Complete convergence for Sung’s type weighted sums of END random variables vol.2014, pp.1, 2014, https://doi.org/10.1186/1029-242X-2014-353
  8. Complete convergence for weighted sums of extended negatively dependent random variables vol.46, pp.3, 2017, https://doi.org/10.1080/03610926.2015.1019147
  9. Limiting behaviour for arrays of row-wise END random variables under conditions ofh-integrability vol.87, pp.3, 2015, https://doi.org/10.1080/17442508.2014.959951
  10. Convergence in p-mean for arrays of row-wise extended negatively dependent random variables vol.150, pp.2, 2016, https://doi.org/10.1007/s10474-016-0645-7
  11. Complete moment convergence for weighted sums of extended negatively dependent random variables vol.46, pp.20, 2017, https://doi.org/10.1080/03610926.2016.1231814
  12. Complete consistency for the estimator of nonparametric regression models based on extended negatively dependent errors vol.49, pp.2, 2015, https://doi.org/10.1080/02331888.2014.888431
  13. Complete convergence and complete moment convergence for arrays of rowwise END random variables vol.49, pp.2, 2014, https://doi.org/10.3336/gm.49.2.16
  14. The strong laws of large numbers for weighted sums of extended negatively dependent random variables vol.46, pp.20, 2017, https://doi.org/10.1080/03610926.2016.1222435
  15. ON CONSISTENCY OF LS ESTIMATORS IN THE ERRORS-IN-VARIABLE REGRESSION MODEL 2018, https://doi.org/10.1017/S0269964816000462
  16. Equivalent conditions of complete convergence and complete moment convergence for END random variables vol.39, pp.1, 2018, https://doi.org/10.1007/s11401-018-1053-9
  17. Consistency for wavelet estimator in nonparametric regression model with extended negatively dependent samples pp.1613-9798, 2018, https://doi.org/10.1007/s00362-018-1050-9
  18. On complete convergence for weighted sums of arrays of rowwise END random variables and its statistical applications vol.69, pp.1, 2019, https://doi.org/10.1515/ms-2017-0216