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Strong laws of large numbers for capacities ∗
"... In this paper, with the notion of independent identically distributed random variables under sublinear expectations initiated by Peng, we derive three kinds of strong laws of large numbers for capacities. Moreover, these theorems are natural and fairly neat extensions of the classical Kolmogorov’s ..."
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In this paper, with the notion of independent identically distributed random variables under sublinear expectations initiated by Peng, we derive three kinds of strong laws of large numbers for capacities. Moreover, these theorems are natural and fairly neat extensions of the classical Kolmogorov
STRONG LAWS FOR BALANCED TRIANGULAR URNS
, 808
"... Abstract. Consider an urn model whose replacement matrix is triangular, has all entries nonnegative and the row sums are all equal to one. We obtain the strong laws for the counts of balls corresponding to each color. The scalings for these laws depend on the diagonal elements of a rearranged replac ..."
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Abstract. Consider an urn model whose replacement matrix is triangular, has all entries nonnegative and the row sums are all equal to one. We obtain the strong laws for the counts of balls corresponding to each color. The scalings for these laws depend on the diagonal elements of a rearranged
Marcinkiewicz Strong Laws for Linear Statistics
, 2000
"... Strong laws are established for linear statistics that are weighted sums of a random sample. We show extensions of the MarcinkiewiczZygmund strong law under certain moment conditions on both the weights and the distribution. These complement the results of Cuzick (1995, J. Theoret. Probab. 8, 625 ..."
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Cited by 6 (0 self)
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Strong laws are established for linear statistics that are weighted sums of a random sample. We show extensions of the MarcinkiewiczZygmund strong law under certain moment conditions on both the weights and the distribution. These complement the results of Cuzick (1995, J. Theoret. Probab. 8, 625
STRONG LAWS FOR RECURRENCE QUANTIFICATION ANALYSIS
"... Abstract. The recurrence rate and determinism are two of the basic complexity measures studied in the recurrence quantification analysis. In this paper, the recurrence rate and determinism are expressed in terms of the correlation sum, and strong laws of large numbers are given for them. 1. ..."
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Abstract. The recurrence rate and determinism are two of the basic complexity measures studied in the recurrence quantification analysis. In this paper, the recurrence rate and determinism are expressed in terms of the correlation sum, and strong laws of large numbers are given for them. 1.
On the strong law for arrays and for the bootstrap mean and variance
, 1997
"... ABSTRACT. Chung type strong laws of large numbers are obtained for arrays of rowwise independent random variables under various moment conditions. An interesting application of these results is the consistency of the bootstrap mean and variance. KEY WORDS AND PHRASES. Strong law of large numbers, ro ..."
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Cited by 16 (2 self)
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ABSTRACT. Chung type strong laws of large numbers are obtained for arrays of rowwise independent random variables under various moment conditions. An interesting application of these results is the consistency of the bootstrap mean and variance. KEY WORDS AND PHRASES. Strong law of large numbers
A strong law of large numbers in credibility theory ∗
, 2005
"... Abstract. In this paper, the issue of the law of large numbers for fuzzy variables is considered. Since in credibility theory convergence in credibility implies convergence almost sure, the strong law of large numbers is defined via convergence in credibility, while the weak law of large numbers is ..."
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Abstract. In this paper, the issue of the law of large numbers for fuzzy variables is considered. Since in credibility theory convergence in credibility implies convergence almost sure, the strong law of large numbers is defined via convergence in credibility, while the weak law of large numbers
A strong law of large numbers for martingale arrays
, 2009
"... Abstract: We prove a martingale triangular array generalization of the ChowBirnbaumMarshall’s inequality. The result is used to derive a strong law of large numbers for martingale triangular arrays whose rows are asymptotically stable in a certain sense. To illustrate, we derive a simple proof, ba ..."
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Abstract: We prove a martingale triangular array generalization of the ChowBirnbaumMarshall’s inequality. The result is used to derive a strong law of large numbers for martingale triangular arrays whose rows are asymptotically stable in a certain sense. To illustrate, we derive a simple proof
Mixing Sequences Strong Law of Large Numbers for 
"... Abstract—For independent identically distributed random variables, the Marcinkiewicz strong law of large numbers is that sppose 0nEX , Then 1 / 0, ,..p nn S n a s if and only if 1   pE X . Let { , 1}nX n be an identically distributed mixing sequence of random variables, in this paper, t ..."
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Abstract—For independent identically distributed random variables, the Marcinkiewicz strong law of large numbers is that sppose 0nEX , Then 1 / 0, ,..p nn S n a s if and only if 1   pE X . Let { , 1}nX n be an identically distributed mixing sequence of random variables, in this paper
Results 1  10
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901,900