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Jointly efficient encoding and decoding in neural populations. [PDF]
PLoS Comput BiolBlanco Malerba S +3 more
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Latent variable sequence identification for cognitive models with neural network estimators. [PDF]
Behav Res MethodsPan TF, Li JJ, Thompson B, Ge Collins A.
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The Limit Law of the Iterated Logarithm
Journal of Theoretical Probability, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the law of the iterated logarithm. I
Indagationes Mathematicae (Proceedings), 1955Die Verff. beweisen den folgenden Satz: Es sei \(n_1 < n_2 < \cdots\) eine unendliche Folge von positiven Zahlen mit \(n_{\nu+1}/n_\nu \geq q>1 \; (\nu =1,2,...)\). Für fast alle reellen \(x\) ist dann \(\limsup_{N \to \infty} (N \log\log N )^{-1/2} \left|\sum_{\nu=1}^N \exp 2 \pi i n_\nu x \right| =1\).
Erdős, Pál, Gál, István Sándor
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On the Law of the Iterated Logarithm
The Annals of Mathematics, 1942Not ...
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1994
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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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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Parameter-Dependent Law of the Iterated Logarithm
Theory of Probability & Its Applications, 1988See the review in Zbl 0623.60043.
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Generalized Laws of the Iterated Logarithm
Communications in Statistics - Theory and Methods, 2003We investigate the almost sure behavior of sums of independent not necessarily identically distributed random variables. Results of the iterated logarithm type without any moment conditions are obtained.
Allan Gut, Valentin V. Petrov
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