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Weak law of large numbers for stationary graph processes
2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2017The ability to obtain accurate estimators from a set of measurements is a key factor in science and engineering. Typically, there is an inherent assumption that the measurements were taken in a sequential order, be it in space or time. However, data is increasingly irregular so this assumption of sequentially obtained measurements no longer holds.
Fernando Gama, Alejandro Ribeiro
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The Weak Law of Large Numbers. II
1980In this chapter f(n) will be a strongly additive arithmetic function, and we shall determine when the frequencies $$v_x (n;f(n) - \alpha (x) \leqslant z\beta (x))(x \to \infty )$$ (1) can converge to the improper law, assuming that for each fixed value of y > 0, $$\mathop {\lim }\limits_{x \to \infty } \sup \beta (x^y )/\beta (x)$$ is ...
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Weak law of large numbers for arrays
Statistics & Probability Letters, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A weak law of large numbers for maxima
Extremes, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bounds in the weak law of large numbers
Mathematical Notes of the Academy of Sciences of the USSR, 1972We obtain bounds of an asymptotic nature in the weak law of large numbers for sums of random variables without assuming the variables in question have any moments.
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On a Weak Law of Large Numbers with Regularly Varying Normalizing Sequences
Journal of Theoretical Probability, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Extension of the Weak Law of Large Numbers for Exchangeable Sequences
Acta Applicandae Mathematicae, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A note on q-weak law of large numbers
Physics Letters A, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Strong laws of large numbers under weak assumptions with application
IEEE Transactions on Automatic Control, 2000Summary: The employment of ``strong laws of large numbers'' is instrumental to the analysis of system estimation and identification strategies. However, the vast bulk of such laws, as presented in the wider literature, assume independence or at least uncorrelatedness of random components, and these assumptions are quite restrictive from an engineering ...
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On the Weak Law of Large Numbers for D(0,1).
1979Abstract : Weak laws of large numbers are obtained for random elements in D(0,1) where the convergence is in the sup-norm topology. For identically distributed random elements satisfying a compact integral condition, the weak law of large numbers holding pointwise is shown to be necessary and sufficient for the weak law of large numbers. In addition to
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