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Retrotransposable element (RTE) expression increases with chronological and biological age and is negatively associated with heterochromatin regulators. Moreover, RTE expression shows sex‐specific differences, with higher levels in men and enrichment for immune‐related pathways.
Valentina Talevi+6 more
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The impact of intellectual property demonstration policies on carbon emission efficiency. [PDF]
Yao L, Li A, Wang S.
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The Law of Iterated Logarithm [PDF]
Let the kernel Φ have the rank r = 1 and satisfy the conditions $$Eg_1^2 < \infty ,E|\Phi {|^{4/3}} < \infty $$ (9.1.1)
V. S. Koroljuk, Yu. V. Borovskich
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The Law of the Iterated Logarithm [PDF]
This chapter is devoted to the classical laws of the iterated logarithm of Kolmogorov and Hartman-Wintner-Strassen in the vector valued setting. These extensions both enlighten the scalar statements and describe various new interesting phenomena in the infinite dimensional setting.
Michel Talagrand, Michel Ledoux
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The Law of the Iterated Logarithm [PDF]
The central limit theorem tells us that suitably normalized sums can be approximated by a normal distribution. Although arbitrarily large values may occur, and will occur, one might try to bound the magnitude in some manner. This is what the law of the iterated logarithm (LIL) does, in that it provides a parabolic bound on how large the oscillations of
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2014
For sums of independent random variables we already know two limit theorems: the law of large numbers and the central limit theorem. The law of large numbers describes for large \(n\in \mathbb{N}\) the typical behavior, or average value behavior, of sums of n random variables.
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For sums of independent random variables we already know two limit theorems: the law of large numbers and the central limit theorem. The law of large numbers describes for large \(n\in \mathbb{N}\) the typical behavior, or average value behavior, of sums of n random variables.
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On The Law of The Iterated Logarithm
1992We consider a sequence of independent random variables with zero expectations E zn .
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Law of Iterated Logarithm for Parabolic SPDEs
1999We prove a version of Strassen’s functional law of iterated logarithm for a family of parabolic SPDEs. The lack of scaling due to the Green function makes it impossible to reduce the proof to the comparison of one single process at several times.
Millet, Annie, Chenal, Fabien
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