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We study the complete convergence for sequences of dependent random variables in Hilbert spaces. Results are obtained for negatively associated random variables and ${\phi}$-mixing random variables in Hilbert spaces.
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참고문헌 (12)
참고문헌 신청
P. Billingsley / 1968 / Convergence of probability measures / John Wiley and Sons. Inc.
A. Gut / 1992 / Complete convergence for arrays / Period. Math. Hungar. 25:51~75
N. T. T. Hien / 2015 / On the weak laws of large numbers for sums of negatively associated random vectors in Hilbert spaces / Statist. Probab. Lett. 107:236~245
N. V. Huan / 2015 / On the complete convergence for sequences of random vectors in Hilbert spaces / Acta Math. Hungar. 147(1):205~219
N. V. Huan / 2014 / Baum-Katz type theorems for coordinatewise negatively associated random vectors in Hilbert spaces / Acta. Math. Hungar. 144(1):132~149
A. Gut / 1992 / Complete convergence for arrays / Period. Math. Hungar. 25:51~75
N. T. T. Hien / 2015 / On the weak laws of large numbers for sums of negatively associated random vectors in Hilbert spaces / Statist. Probab. Lett. 107:236~245
N. V. Huan / 2015 / On the complete convergence for sequences of random vectors in Hilbert spaces / Acta Math. Hungar. 147(1):205~219
N. V. Huan / 2014 / Baum-Katz type theorems for coordinatewise negatively associated random vectors in Hilbert spaces / Acta. Math. Hungar. 144(1):132~149
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