Results 241 to 250 of about 381,656 (263)

Small Ball Probabilities for a Centered Poisson Process of High Intensity

Journal of Mathematical Sciences, 2005
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Small Ball Probability for the Stochastic Parabolic Equations

Fluctuation and Noise Letters
This paper is concerned with the small ball probability for the stochastic parabolic equations. By using comparison principle and the properties of Brownian motion, the small ball probability estimates of parabolic equations with Brownian motion are considered. Some new results are given.
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An asymptotic factorization of the Small–Ball Probability: theory and estimates

2017
This work reviews recent results on an asymptotic factorization of the Small–Ball Probability of a \( {\fancyscript{L}}_{[0,1]}^{2} \)–valued process, as the radius of the ball tends to zero. This factorization involves a volumetric term, a pseudo–density for the probability law of the process, and a correction factor.
Aubin, Jean Baptiste, BONGIORNO, Enea Giuseppe, GOIA, Aldo   +2 more
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Small Ball Probabilities Around Random Centers of Gaussian Measures and Applications to Quantization

Journal of Theoretical Probability, 2003
Let \(\mu\) be a centered Gaussian measure on a separable Hilbert space \((E,||\cdot||)\), \(X\) be a \(\mu\)-distributed random variable in \(E\), denote by \(\{\lambda_j\}\) the non-increasing sequence of eigenvalues of the covariance operator of \(\mu\) and let \(\{e_j\}\) be a corresponding basis of orthonormal eigenfunctions.
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High resolution coding of stochastic processes and small ball probabilities

2003
This thesis is concerned with the high resolution coding problem for Gaussian measures on Banach spaces. New relations between the asymptotics of small ball probabilities and the latter problem are derived. In the case where the underlying space is even a Hilbert space, the problem is solved explicitly under weak assumptions on the eigenvalues of the ...
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Clinical insights into small cell lung cancer: Tumor heterogeneity, diagnosis, therapy, and future directions

Ca-A Cancer Journal for Clinicians, 2023
Carl M Gay, Helmut H Popper, Robert Pirker   +2 more
exaly  

Small ball probability estimates for the Hölder semi-norm of the stochastic heat equation

Probability Theory and Related Fields, 2022
Mohammud Foondun
exaly  

ASYMPTOTIC BEHAVIOR OF SMALL BALL PROBABILITIES

1999
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A note on small ball probability of a Gaussian process with stationary increments

Journal of Theoretical Probability, 1993
Qi-Man Shao
exaly  

Small Ball Probabilities and Semi-metrics

2006
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