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Horizon-Independent Optimal Prediction with Log-Loss in Exponential Families
SNML Exchangeability Exponential Family Online Learning Logarithmic Loss Bayesian Strategy Jeffreys Prior Fisher Information
2013/6/17
We study online learning under logarithmic loss with regular parametric models. Hedayati and Bartlett (2012b) showed that a Bayesian prediction strategy with Jeffreys prior and sequential normalized m...
Moments of Sums of Independent and Identically Distributed Random Variables
iid random variables sums of iid random variables
2011/6/20
Let X1,X2, . . . ,Xn be independent and identically distributed random
variables. We present an analytic method for computing the
moments of Sn =
Pn
i=1 Xi. The method is illustrated with a simple...
Independent screening for single-index hazard rate models with ultra-high dimensional features
screening univariate regression models generalized linear models single-index
2011/6/17
In data sets with many more features than observations, independent screening based on all
univariate regression models leads to a computationally convenient variable selection method.
Recent effort...
Temporal and Spatial Independent Component Analysis for fMRI data sets embedded in a R package
Computation (stat.CO) Medical Physics (physics.med-ph) Applications (stat.AP)
2010/12/17
For statistical analysis of functional Magnetic Resonance Imaging (fMRI) data sets, we propose a data-driven approach based on Independent Component Analysis (ICA) implemented in a new version of the ...
Robust Independent Component Analysis by Iterative Maximization of the Kurtosis Contrast with Algebraic Optimal Step Size
Atrial fibrillation (AF) blind source separation (BSS) independent component analysis (ICA) iterative optimization kurtosis
2010/3/10
Independent component analysis (ICA) aims at decomposing an observed random vector into
statistically independent variables. Deflation-based implementations, such as the popular one-unit FastICA algo...
Statistical tests for whether a given set of independent,identically distributed draws does not come from a specified probability density
Kolmogorov-Smirnov nonparametric goodness-of-fit outlier distributionfunction nonincreasing rearrangement
2010/3/9
We discuss several tests for whether a given set of independent and identically
distributed (i.i.d.) draws does not come from a specified probability density function.
The most commonly used are Kol...
Strong exponential integrability of sums of independent B-valued random vectors
Strong exponential integrability sums of independent B-valued random vectors
2009/9/24
Strong exponential integrability of sums of independent B-valued random vectors。
On the convergence rate in the central limit theorem of some functions of the average of independent random variables
the convergence rate the central limit theorem independent random variables
2009/9/24
This note gives the convergence rate in the central
limit theorem and the random central limit theorem of some
functions of the average of independent random variables.
On the limit behaviour of random sums of independent random variables
the limit behaviour random sums independent random variables
2009/9/24
On the limit behaviour of random sums of independent random variables。
Weak convergence of random sums of infima of independent random variables
Weak convergence random sums independent random variables
2009/9/24
Weak convergence of random sums of infima of independent random variables。
On the rate of convergence in the central limit theorem for functions of the average of independent random variables
the rate of convergence the central limit theorem independent random variables
2009/9/23
We give tbe rate of convergence in the central limit
theorem and the random central limit theorem for functions belonging
to the class I of all real differentiable functions g such that
gr E L(1).
On Levy's and Dudley's type estimates of the rate convergence in the central limit theorem for functions of the average of independent random variables
Levy's and Dudley's type estimates the rate convergence the central limit theorem
2009/9/23
The Levy and the Dudley metrics are used to give
estimates of the rate convergence in the centrat- limit theorem for
some functions of the average of independent random variables.
Topology of the convergence in probability on a linear span of a sequence of independent random variables
Topology of the convergence a linear span independent random variables
2009/9/23
Topology of the convergence in probability on a linear span of a sequence of independent random variables。
Weak convergence to the Brownian motion of the partial sums of infima of independent random variables
Weak convergence the Brownian motion independent random variables
2009/9/23
Weak convergence to the Brownian motion of the partial sums of infima of independent random variables。
On complete convergence for partial sums of independent identically distributed random variables
complete convergence independent identically distributed random variables
2009/9/23
On complete convergence for partial sums of independent identically distributed random variables。