搜索结果: 1-11 共查到“概率论 Functions”相关记录11条 . 查询时间(0.125 秒)
A Structure Theorem for Poorly Anticoncentrated Gaussian Chaoses and Applications to the Study of Polynomial Threshold Functions
Structure Theorem Anticoncentrated Gaussian Chaoses Study of Polynomial Threshold Functions
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2012/4/18
We prove a structural result for degree-$d$ polynomials. In particular, we show that any degree-$d$ polynomial, $p$ can be approximated by another polynomial, $p_0$, which can be decomposed as some fu...
Distance Functions, Critical Points, and Topology for Some Random Complexes
Distance function critical points Morse index Cech complex Poisson process central limit theorem Betti numbers
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2011/9/20
Abstract: For a finite set of points $P$ in $R^d$, the function $d_P:R^d \to R_+$ measures Euclidean distance to the set $P$. We study the number of critical points of $d_P$ when $P$ is random. In par...
Uniform moment bounds of multi-dimensional functions of discrete-time stochastic processes
stochastic stability Markov chains uniform moment bounds invariant distributions stochastic control
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2011/9/20
Abstract: We establish conditions for uniform $r$-th moment bound of certain $\R^d$-valued functions of a discrete-time stochastic process taking values in a general metric space. The conditions inclu...
Universality of Correlations for Random Analytic Functions
Universality of Correlations Random Analytic Functions Probability
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2011/9/16
Abstract: We review a result obtained with Andrew Ledoan and Marco Merkli. Consider a random analytic function $f(z) = \sum_{n=0}^{\infty} a_n X_n z^n$, where the $X_n$'s are i.i.d., complex valued ra...
Positive recurrence of piecewise Ornstein-Uhlenbeck processes and common quadratic Lyapunov functions
stability common quadratic Lyapunov function Lyapunov function piecewise OU process multi-server queues customer abandonment
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2011/9/8
Abstract: We study the positive recurrence of piecewise Ornstein-Uhlenbeck (OU) diffusion processes, which arise from many-server queueing systems with phase-type service requirements. These diffusion...
How singular are moment generating functions?
analytic functions moment generating function multivariate distributions
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2011/9/2
Abstract: This short note concerns the possible singular behaviour of moment generating functions of finite measures at the boundary of their domain of existence. We look closer at Example 7.3 in O. B...
Computationally Efficient Modulation Level Classification Based on Probability Distribution Distance Functions
Computationally Efficient Modulation Level Classification Probability Distribution Distance Functions
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2011/2/25
We present a novel modulation level classification (MLC) method based on probability distribution distance functions.
Penalisation of the symmetric random walk by several functions of the supremum
Penalisation symmetric random several functions of the supremum
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2011/1/21
all ( ,F1,P,X,F) the canonical space for the standard random walk on Z. Thus, denotes the set of paths : N ! Z such that | (n + 1) − (n)| = 1, X = (Xn, n 0) is the canonical coordinate proc...
Some new Bellman functions and subordination by orthogonal martingales in $L^{p}, 1
Some new Bellman functions subordination orthogonal martingales
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2011/1/18
The main result of this note is Theorem 7 below. The main interest is the array of new Bellman function, very different from Burkholder’s function.
Approximating entropy for a class of $\zz^2$ Markov Random Fields and pressure for a class of functions on $\zz^2$ shifts of finite type
multidimensional shifts of finite type Markov random fields
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2010/12/7
For a class of Z2 Markov Random Fields (MRFs) μ, we show that the sequence of successive differences of entropies of induced MRFs on strips of height n converges exponentially fast (in n) to the entro...
A partial order on the group of contactomorphisms of \R2n+1 via generating functions
partial order R2n+1 via generating functions
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2010/3/1
In this note we construct a nontrivial partial order on the identity component of the group of compactly supported contactomorphisms of \R2n+1 using the method of generating functions. Our constructio...