Results 21 to 30 of about 135,156 (153)

The Nonadditive Entropy Sq and Its Applications in Physics and Elsewhere: Some Remarks

Entropy, 2011
The nonadditive entropy Sq has been introduced in 1988 focusing on a generalization of Boltzmann–Gibbs (BG) statistical mechanics. The aim was to cover a (possibly wide) class of systems among those very many which violate hypothesis such as ergodicity ...
Constantino Tsallis
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A Proof of the Generalized Second-Limit Theorem in the Theory of Probability [PDF]

Transactions of the American Mathematical Society, 1931
A particular case is represented by dF(x) =f(x)dx, where f(x), summable and >0, is the "probability density" or "law of distribution" for x. The expression f -'.xsdF(x) is called the "sth moment" of the distribution, s taking values 0, 1, 2, The Second Limit-Theorem, which was the starting point of this paper, can be stated, with A.
Fréchet, Maurice, Shohat, J.
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A Novel Data-Driven Situation Awareness Approach for Future Grids—Using Large Random Matrices for Big Data Modeling

IEEE Access, 2018
Data-driven approaches, when tasked with situation awareness, are suitable for complex grids with massive datasets. It is a challenge, however, to efficiently turn these massive datasets into useful big data analytics.
Xing He, Lei Chu, Robert Caiming Qiu, Qian Ai, Zenan Ling   +4 more
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Studies on Cauchy–Stieltjes Kernel Families

Mathematics
In the setting of Cauchy–Stieltjes kernel (CSK) families, this study provides some features of free Poisson, free Gamma, and free Binomial laws, as well as some innovative limit theorems linked to Fermi convolution.
Abdulmajeed Albarrak, Raouf Fakhfakh, Ghadah Alomani   +2 more
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Geometric and nonlinear limit theorems in probability theory [PDF]

, 2018
Title from PDF of title page (University of Missouri--Columbia, viewed on August 28, 2012). ; The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.
openaire   +2 more sources

An Invariance Principle of G-Brownian Motion for the Law of the Iterated Logarithm under G-expectation

, 2011
The classical law of the iterated logarithm (LIL for short)as fundamental limit theorems in probability theory play an important role in the development of probability theory and its applications.
A Khintchine, A Kolmogoroff, D L McLeish, D L McLeish, F Hu, L Denis, M Peligrad, P Hartman, PanYu Wu, S G Peng, S G Peng, S G Peng, S G Peng, S G Peng, U Einmahl, V Strassen, W B Wu, Z J Chen, Z J Chen, Z J Chen, ZengJing Chen   +20 more
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Functional limit theorems for random regular graphs [PDF]

, 2012
Consider d uniformly random permutation matrices on n labels. Consider the sum of these matrices along with their transposes. The total can be interpreted as the adjacency matrix of a random regular graph of degree 2d on n vertices.
A Lubotzky, A Lytova, A Soshnikov, AZ Broder, B Bollobás, BD McKay, C Greenhill, D Jonsson, DA Freedman, E Lubetzky, Elliot Paquette, EP Wigner, G BenArous, GW Anderson, Ioana Dumitriu, J Friedman, J Friedman, J Pitman, JC Mason, K Johansson, K Johansson, Kelly Wieand, N Alon, N Linial, O Costin, P Diaconis, P Lieby, R Arratia, S Chatterjee, S Chatterjee, S Sodin, SN Ethier, Soumik Pal, T Cabanal-Duvillard, T Kusalik, Tobias Johnson, U Feige, Ya Sinai, Z Füredi, ZD Bai   +39 more
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On the t-Transformation of Free Convolution

Mathematics
The study of the stability of measure families under measure transformations, as well as the accompanying limit theorems, is motivated by both fundamental and applied probability theory and dynamical systems. Stability analysis tries to uncover invariant
Shokrya S. Alshqaq, Ohud A. Alqasem, Raouf Fakhfakh   +2 more
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Criticality for branching processes in random environment

, 2005
We study branching processes in an i.i.d. random environment, where the associated random walk is of the oscillating type. This class of processes generalizes the classical notion of criticality.
Afanasyev, V. I., Geiger, J., Kersting, G., Vatutin, V. A.   +3 more
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Theory of Systematic Computational Error in Free Energy Differences [PDF]

, 2002
Systematic inaccuracy is inherent in any computational estimate of a non-linear average, due to the availability of only a finite number of data values, N.
A. D. Stone, A. M. Ferrenberg, Daniel M. Zuckerman, G. Christoph, J. G. Kirkwood, M. F. Shlesinger, P. A. Kollman, R. H. Wood, S. B. Singh, Thomas B. Woolf, V. M. Zolotarev, V. V. Uchaikin, W. Feller   +12 more
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