Chung's general form of the law of the iterated logarithm for the Kolmogorov statistic (Trans. Amer. Math. Soc. 67, 36-50) is generalized to a wide class of statistics including some important Renyi statistics.Empirical process Kolmogorov statistic Renyi
Krumbholz, W.
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Estimating transmission parameters from stochastic epidemic models using survival analysis techniques. [PDF]
Stat Methods Med ResPutter H, Lu C, Wallinga J.
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ON THE LAW OF THE ITERATED LOGARITHM FOR MAXIMA AND MINIMA
, 1972 Robbins, H., Siegmund, D.
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Intermittent Two-Point Dynamics at the Transition to Chaos for Random Circle Endomorphisms. [PDF]
Commun Math PhysGoverse VPH, Homburg AJ, Lamb JSW.
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A Remark on the Law of the Iterated Logarithm
The Annals of Mathematical Statistics, 1967 openaire +2 more sources
On Strassen's version of the law of the iterated logarithm for the two-parameter Gaussian process
Strassen's version of the law of the iterated logarithm is extended to the two-parameter Gaussian process {X(s, t); [epsilon](s, t) [set membership, variant][0, [infinity])2} with the covariance function R((s1,t1),(s2,t2)) = min(s1,s2)min(t1,t2).A ...
Park, W. J.
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Development of a simple test to quantify the consolidation properties of liquefied granular materials. [PDF]
Acta GeotechTauskela L, Adamidis O, Take WA.
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On the law of the iterated logarithm without assumptions about the existence of moments. [PDF]
Proc Natl Acad Sci U S A, 1968 Petrov VV.
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A law of iterated logarithm for the wavelet transforms of i.i.d. random variables
We apply a general result on the law of iterated logarithm to the wavelet transforms of i.i.d. random variables and show that a version of this law holds under some regularity conditions on the wavelet.
Cai, Haiyan
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Polynomial Fourier decay for fractal measures and their pushforwards. [PDF]
Math AnnBaker S, Banaji A.
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