Results 31 to 40 of about 135,156 (153)

A reduction technique for limit theorems in analysis and probability theory

Arkiv för Matematik, 1992
The main result of the present paper, strengthening an earlier result of the authors [Arch. Math. 43, 373-376 (1984; Zbl 0603.31009)], essentially says that (under suitable assumptions) for each measure \(\mu\) in a given class \(M_ 0\) and for some reference measure \(\sigma\), the Radon- Nikodým derivative \(d\mu/d\sigma\) is equal to a limit along a
Bliedtner, J., Loeb, P.
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Using Vector Representations of Characteristic Functions and Vector Logarithms When Proving Asymptotic Statements

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In this methodological–technical note, in addition to the well-known concepts of logarithms of positive real numbers and operators, we open a path for mathematical treatment of the mathematical concept of the logarithm of a vector.
Wolf-Dieter Richter
doaj   +1 more source

Probabilities on Sentences in an Expressive Logic [PDF]

, 2012
Automated reasoning about uncertain knowledge has many applications. One difficulty when developing such systems is the lack of a completely satisfactory integration of logic and probability. We address this problem directly.
Hutter, Marcus, Lloyd, John W., Ng, Kee Siong, Uther, William T. B.   +3 more
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Detailed Command vs. Mission Command: A Cancer-Stage Model of Institutional Decision-Making

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Those accustomed to acting within ‘normal’ bureaucracies will have experienced the degradation, distortion, and stunting imposed by inordinate levels of hierarchical ‘decision structure’, particularly under the critical time constraints so fondly ...
Rodrick Wallace
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High Dimensional Probability

, 2006
About forty years ago it was realized by several researchers that the essential features of certain objects of Probability theory, notably Gaussian processes and limit theorems, may be better understood if they are considered in settings that do not ...
Giné, Evarist, Koltchinskii, Vladimir, Li, Wenbo, Zinn, Joel   +3 more
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Acceptable random variables in non-commutative probability spaces

پژوهش‌های ریاضی, 2022
Introduction A class of random variables called negatively orthant dependent random variables defined in the classical setting of probability spaces by Lehman in 1966.
Ghadir Sadeghi, Mahin Sadat Divandar
doaj  

Limit theorems and wrapping transforms in bi-free probability theory

Pacific Journal of Mathematics
In this paper, we characterize idempotent distributions with respect to the bi-free multiplicative convolution on the bi-torus. Also, the bi-free analogous Levy triplet of an infinitely divisible distribution on the bi-torus without non-trivial idempotent factors is obtained.
Hasebe, Takahiro, Huang, Hao-Wei
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Gaussian limits for generalized spacings

, 2009
Nearest neighbor cells in $R^d,d\in\mathbb{N}$, are used to define coefficients of divergence ($\phi$-divergences) between continuous multivariate samples.
Baryshnikov, Yu., Penrose, Mathew D., Yukich, J. E.   +2 more
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Still No Free Lunch: Failure of Stability in Regulated Systems of Interacting Cognitive Modules

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The asymptotic limit theorems of information and control theories, instantiated as the Rate Distortion Control Theory of bounded rationality, enable examination of stability across models of cognition based on a variety of fundamental, underlying ...
Rodrick Wallace
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Anomalous scaling due to correlations: Limit theorems and self-similar processes

, 2009
We derive theorems which outline explicit mechanisms by which anomalous scaling for the probability density function of the sum of many correlated random variables asymptotically prevails. The results characterize general anomalous scaling forms, justify
Aldous D J, Attilio L Stella, Baldovin F Stella A L, Challet D, de Finetti B, Feller W, Fulvio Baldovin, Gnedenko B V, Jona-Lasinio G, Kadanoff L P, Scholz C H   +10 more
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