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In this paper, we investigate weak laws of large numbers for weighted coordinatewise pairwise negative quadrant dependence random vectors in Hilbert spaces in the case that the decay order of tail probability is $r$ for some $0<r<2$. Moreover, we extend results concerning Pareto-Zipf distributions and St. Petersburg game.
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참고문헌 (17)
참고문헌 신청
A. Adler / 2012 / An exact weak law of large numbers / Bull. Inst. Math. Acad. Sin. (N.S.) 7(3):417~422
H. Dehling / 2015 / Bootstrap for dependent Hilbert space-valued random variables with application to von Mises statistics / J. Multivariate Anal 133:200~215
L. V. Dung / 2018 / Weak Laws of Large Numbers for sequences of random variables with infinite rth moments / Acta Mathematica Hungarica 156(2):408~423
W. Feller / 1945 / Note on the law of large numbers and "fair" games / Ann. Math. Statistics 16:301~304
W. Feller / 1966 / An Introduction to Probability Theory and Its Applications. Vol. II / John Wiley & Sons, Inc
H. Dehling / 2015 / Bootstrap for dependent Hilbert space-valued random variables with application to von Mises statistics / J. Multivariate Anal 133:200~215
L. V. Dung / 2018 / Weak Laws of Large Numbers for sequences of random variables with infinite rth moments / Acta Mathematica Hungarica 156(2):408~423
W. Feller / 1945 / Note on the law of large numbers and "fair" games / Ann. Math. Statistics 16:301~304
W. Feller / 1966 / An Introduction to Probability Theory and Its Applications. Vol. II / John Wiley & Sons, Inc
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