搜索结果: 1-15 共查到“统计学 Proof”相关记录20条 . 查询时间(0.099 秒)
A simple proof for the multivariate Chebyshev inequality
Chebyshev (Tchebychev) inequality Mahalanobis distance Principal compo-nents Ellipsoid
2013/6/14
In this paper a simple proof of the Chebyshev's inequality for random vectors obtained by Chen (arXiv:0707.0805v2, 2011) is obtained. This inequality gives a lower bound for the percentage of the popu...
A proof of Bell's inequality in quantum mechanics using causal interactions
Interactions interference local reality quantum physics
2012/9/19
We give a simple proof of Bell’s inequality in quantum mechanics which, in conjunction with experiments, demonstrates that the local hidden variables assumption is false. The proof sheds light on rela...
Chernoff proves an inequality using Hemite polynomials.
Here we prove and generalize this inequality using Cauchy -
Schwartz inequality and Fubini equality.
Skorokhod problem - elementary proof of the Azema-Yor formula
Skorokhod problem - elementary proof the Azema-Yor formula
2009/9/24
Skorokhod problem - elementary proof of the Azema-Yor formula。
A PROOF OF GRBINER'S THEOREM ON NON-COLEIDXNG PARTICLES
Brownian motion non-colliding particles
2009/9/18
A detailed proof of Grabiner's theorem [I] on the
exact asymptotics of the time to collision for n independent Brownian
motions is given.
S. G. Bobkov and C. Houdré recently posed the following question on the Internet (Problem posed in Stochastic Analysis Digest no. 15 (9/15/1995)): Let X,Y be symmetric i.i.d. random variables such tha...
Martingale Representation and a Simple Proof of Logarithmic Sobolev Inequalities on Path Spaces
Martingale Representation Logarithmic Sobolev Inequality Hypercontractivity PathSpace
2009/5/8
We show how the Clark-Ocone-Haussmann formula for Brownian motion on a compact Riemannian manifold put forward by S. Fang in his proof of the spectral gap inequality for the Ornstein-Uhlenbeck operato...
An elementary proof of Hawkes's conjecture on Galton-Watson trees
Galton-Watson tree exact Hausdorff measure boundary branching measure sizebiased tree
2009/4/29
In 1981, J. Hawkes conjectured the exact form of the Hausdorff gauge function for the boundary of supercritical Galton-Watson trees under a certain assumption on the tail at infinity of the total mass...
A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand
heat equation white noise stochastic partial differential equations
2009/4/29
We give a new representation of fractional Brownian motion with Hurst parameter $Hleqfrac{1}{2}$ using stochastic partial differential equations. This representation allows us to use the Markov proper...
A short proof of the Hausdorff dimension formula for Levy processes
Levy processes Hausdor dimension range
2009/4/22
A different but very short proof of a recent result of Khoshnevisan.
A Proof from `First Principles' of Kesten's Result for the Probabilities with which a Subordinator Hits Points
L!aevyprocesses subordinators hitting probabilitie
2009/4/22
We give a simpler and shorter proof of Kesten's result for the probabilities with which a subordinator hits points.
A elementary proof of Hawkes's conjecture on Galton-Watson treesn
Galton-Watson treesn Hawkes's conjecture
2009/4/22
In 1981, J. Hawkes conjectured the exact form of the Hausdorff gauge function for the boundary of supercritical Galton-Watson trees under a certain assumption on the tail at infinity of the total mass...
A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand
stochastic fractional Brownian motion
2009/4/22
We give a new representation of fractional Brownian motion with Hurst parameter $Hleqfrac{1}{2}$ using stochastic partial differential equations. This representation allows us to use the Markov proper...
A short proof of the Hausdorff dimension formula for Levy processes
Hausdorff dimension formula Levy processes Khoshnevisan
2009/4/2
A different but very short proof of a recent result of .
A Proof from First Principles' of Kesten's Result for the Probabilities with which a Subordinator Hits Points
Principle Kesten's result Hits Points
2009/4/1
We give a simpler and shorter proof of Kesten's result for the probabilities with which a subordinator hits points.