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Certain Relations between Mutual Information and Fidelity of Statistical Estimation
Certain Relations Mutual Information Fidelity of Statistical Estimation
2010/10/19
I present several new relations between mutual information (MI) and statistical estimation error for a system that can be regarded simultaneously as a communication channel and as an estimator of an ...
A latent factor model for spatial data with informative missingness
Binary spatial data informative cluster size multivariate data
2010/10/19
A large amount of data is typically collected during a periodontal exam. Analyzing these data poses several challenges. Several types of measurements are taken at many locations throughout the mouth....
Optimal experiment design in a filtering context with application to sampled network data
Optimal design, Kalman filter random walks
2010/10/19
We examine the problem of optimal design in the context of filtering multiple random walks. Specifically, we define the steady state E-optimal design criterion and show that the underlying optimizatio...
Efficient estimation for a subclass of shape invariant models
Shape invariant model semiparametric estimation efficiency
2010/10/15
In this paper, we observe a fixed number of unknown $2\pi$-periodic functions differing from each other by both phases and amplitude. This semiparametric model appears in literature under the name "s...
Asymptotic distribution of conical-hull estimators of directional edges
Asymptotic distribution conical-hull estimators directional edges
2010/10/14
Nonparametric data envelopment analysis (DEA) estimators have been widely applied in analysis of productive efficiency. Typically they are defined in terms of convex-hulls of the observed combinations...
Validated Intraclass Correlation Statistics to Test Item Performance Models
Model test misfit detection intraclass correlation item performance databases
2010/10/14
A new method, with an application program in Matlab code, is proposed for testing item performance models on empirical databases. This method uses data intraclass correlation statistics as expected co...
We consider the problem of robustly predicting as well as the best linear combination of d given functions in least squares regression, and variants of this problem including constraints on the param...
We prove the existence of a (random) Lipschitz function F: Zd-1 → Z+ such that, for every x∈ Zd-1, the site (x,F(x)) is open in a site percolation process on Zd. The Lipschitz constant may be taken to...
基于Huff模型的虚拟商圈实证分析
Huff模型 虚拟商圈 淘宝网 拍拍网
2012/11/20
电子商务日益成为中国经济社会发展的动力，互联网环境给传统的Huff模型带来了全新的冲击，对传统Huff模型进行修正提出了虚拟商圈模型，并通过淘宝网和拍拍网的网店数据对虚拟Huff模型进行了实证研究，最后用6家网店的理论值与实际状态的对比验证了该虚拟商圈模型的可行性.
This is an expository paper, focussing on the following scenario. We have two Markov chains, M and M'. By some means, we have obtained a bound on the mixing time of M'. We wish to compare M with M' in...
Brownian couplings,convexity,and shy-ness
Brownian motion co-adapted coupling convexity coupling Markovian coupling perverse coupling stochastic differential
2009/5/7
Benjamini, Burdzy and Chen (2007) introduced the notion of a shy coupling: a coupling of a Markov process such that, for suitable starting points, there is a positive chance of the two component proce...
Small time expansions for transition probabilities of some Lévy processes
Lévy process transition probabilit
2009/4/29
We show that there exist Lévy processes (X_t,t ≥ 0) and reals y>0 such that for small t, the probability P(X_t> y) has an expansion involving fractional powers or more general functions of t. This con...
We present a stochastic process with sawtooth paths whose distribution is given by a simple rule and whose stationary distribution is Gaussian. The process arose in a natural way in research on intera...
Some results for poisoning in a catalytic model
Interacting particle systems catalytic model
2009/4/22
We obtain new results concerning poisoning/nonpoisoning in a catalytic model which has previously been introduced and studied. We show that poisoning can occur even when the arrival rate of one gas is...
Large and Moderate Deviations for Hotelling's T^2-Statistics
largedeviation moderate deviation self-normalized partial sums law of the iterated logarithm
2009/4/22
Let X , X1, X 2 , ... be i.i.d. R d-valued random variables. We prove large and moderate deviations for Hotelling's T2-statistic when X is in the generalized domain of attraction of the normal law.