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Optimum allocation in multivariate stratified random sampling: Stochastic matrix optimisation
Multivariate stratified random sampling modified E-model stochastic programming optimum allocation integer programming E-model V -model P-model
2011/6/17
The allocation problem for multivariate stratified random sampling as a problem of
stochastic matrix integer mathematical programming is considered. With these aims
the asymptotic normality of sampl...
Baby Morse Theory in Data Analysis
Topology Morse theory persistence inference signal detection
2011/6/17
A methodology is proposed for inferring the topology underlying point cloud
data. The approach employs basic elements of Morse Theory, and is capable
of producing not only a point estimate of variou...
PAC-Bayesian Analysis of Martingales and Multiarmed Bandits
PAC-Bayesian Analysis Martingales Multiarmed Bandits
2011/6/21
We present two alternative ways to apply PAC-Bayesian analysis to sequences of dependent
random variables. The first is based on a new lemma that enables to bound expectations
of convex functions of...
Optimal Multistage Sampling in a Boundary-Crossing Problem
Asymptotic Brownian motion Group sequential Multistage Optimality
2011/6/17
Brownian motion with known positive drift is sampled in stages until
it crosses a positive boundary a. A family of multistage samplers that con-
trol the expected overshoot over the boundary by vary...
Discussion of: A statistical analysis of multiple temperature proxies: Are reconstructions of surface temperatures over the last 1000 years reliable?
reconstructions of surface temperatures statistical analysis paleoclimate reconstructions
2011/6/16
As McShane and Wyner (2011) observe, there are formidable statistical
problems in “reconstructing” past temperatures from networks of so-called
“proxy” data with weak “signal” and complicated autoco...
Discussion of: A statistical analysis of multiple temperature proxies: Are reconstructions of surface temperatures over the last 1000 years reliable?
statistical analysis reconstructions of surface temperatures application of statistics
2011/6/16
This article (MW) has stimulated much valuable discussion and helped to
focus attention on an important area for the application of statistics. Given
the short amount of space, however, we reluctant...
Relational models for contingency tables
Contingency tables curved exponential family expo-nential family generalized odds ratios maximum likelihood estimate multiplicative model
2011/3/24
The paper considers general multiplicative models for complete and incomplete contingency tables that generalize log-linear and several other models and are entirely coordinate free. Sufficient condit...
Sharper lower bounds on the performance of the empirical risk minimization algorithm
empirical risk minimization learning theory lower bound multidimensional central limit theorem uniform central limit theorem
2011/3/24
We present an argument based on the multidimensional and the uniform central limit theorems, proving that, under some geometrical assumptions between the target function $T$ and the learning class $F$...
Missing Data Imputation and Corrected Statistics for Large-Scale Behavioral Databases
missing data imputation statistics corrected for missing data item performance behavioral databases model goodness of fit
2011/3/22
This paper presents a new methodology to solve problems resulting from missing data in large-scale item performance behavioral databases. Useful statistics corrected for missing data are described, an...
Multiway Spectral Clustering: A Margin-Based Perspective
Spectral clustering spectral relaxation graph partitioning reproducing kernel Hilbert space large-margin classifi ca-tion Gaussian intrinsic autoregression
2011/3/22
Spectral clustering is a broad class of clustering procedures in which an intractable combinatorial optimization formulation of clustering is "relaxed" into a tractable eigenvector problem, and in whi...
Conformal geometry of statistical manifold with application to sequential estimation
Affi ne connections Curved exponential family Hyperboloid dis-tribution Information geometry Projective transformation Riemannian metric Space of constant curvature Totally umbilic von Mises-Fisher distribution
2011/3/22
We present a geometrical method for analyzing sequential estimating procedures. It is based on the design principle of the second-order efficient sequential estimation provided in Okamoto, Amari and T...
Compatibility of Prior Specifications Across Linear Models
Bayes factor,compatible prior,conjugateprior,g-prior,hypothesis testing,Kullback–Leibler projection,nested model,variable selection
2011/3/21
Bayesian model comparison requires the specification of a prior distribution on the parameter space of each candidate model. In this connection two concerns arise: on the one hand the elicitation task...
Statistics of statisticians: Critical mass of statistics and operational research groups in the UK
Critical mass of statistics operational research groups statisticians
2011/3/24
Using a recently developed model, inspired by mean field theory in statistical physics, and data from the UK's Research Assessment Exercise, we analyse the relationship between the quality of statisti...
A Dynamic Spatio-temporal Precipitation Model
Rainfall modeling Space-time model Bayesian hierarchical model Markov chain Monte Carlo (MCMC) method Censoring Gaussian random fi eld
2011/3/24
A spatio-temporal model for precipitation is presented. Modeling the continuous and the discrete part of rainfall together, it is assumed that precipitation has a censored and power-transformed normal...
A Dynamic Spatio-temporal Precipitation Model
Rainfall modeling Space-time model Bayesian hierarchical model Markov chain Monte Carlo (MCMC) method Censoring Gaussian random fi eld
2011/3/24
A spatio-temporal model for precipitation is presented. Modeling the continuous and the discrete part of rainfall together, it is assumed that precipitation has a censored and power-transformed normal...