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Simultaneous concentration of order statistics
Glivenko-Cantelli theorem order statistics log-concave Lipschitz
2011/3/25
Let $\mu$ be a probability measure on $\mathbb{R}$ with cumulative distribution function $F$, $(x_{i})_{1}^{n}$ a large i.i.d. sample from $\mu$, and $F_{n}$ the associated empirical distribution func...
Outliers and patterns of outliers in contingency tables with Algebraic Statistics
Algebraic Statistics goodness-of-fi t tests log-linear mod-els toric models
2011/3/18
In this paper we provide a definition of pattern of outliers in contingency tables within a model-based framework. In particular, we make use of log-linear models and exact goodness-of-fit tests to sp...
Non-Gaussian gravitational clustering field statistics
Cosmology and Extragalactic Astrophysics (astro-ph.CO) Statistics Theory (math.ST)
2010/12/17
In this work we investigate the multivariate statistical description of the matter distribution in the nonlinear regime. We introduce the multivariate Edgeworth expansion of the lognormal distribution...
It is always a pleasure to hear Brad Efron’s thoughts on the next century of statistics, especially considering the huge influence he has had on the field’s present state and future directions, both i...
It is an honor to comment on Prof. Efron’s latest contribution to the merging of frequentist and Bayesian thinking into a harmonious (even if not strictly coherent) statistical viewpoint.
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...
On the trasductive arguments in statistics
Foundations Time series Causality Counterfactual Semi-supervised learning
2010/3/11
The paper argues that a part of the current statistical discussion
is not based on the standard firm foundations of the field. Among
the examples we consider are prediction into the future, semi-sup...
Optimal and fast detection of spatial clusters with scan statistics
Scan statistic Bernoulli model optimal detection multiscaleinference fast algorithm concentration inequality
2010/3/10
We consider the detection of multivariate spatial clusters in the
Bernoulli model with N locations, where the design distribution has
weakly dependent marginals. The locations are scanned with a rec...
Approximating the inverse of banded matrices by banded matrices with applications to probability and statistics
infinite band-dominated matrices Gaussian stochastic processes mixing conditions high dimensional statistical inference
2010/3/10
In the first part of this paper we give an elementary proof of the fact that if an infinite matrix
A, which is invertible as a bounded operator on `2, can be uniformly approximated by banded matrices...
On Bahadur Efficiency of Power Divergence Statistics
Bahadur efficiency consistency power divergence Renyi divergence
2010/3/10
It is proved that the information divergence statistic
is infinitely more Bahadur efficient than the power divergence
statistics of the orders > 1 as long as the sequence of
alternatives is conti...
Convergence of U-statistics for interacting particle systems
interacting particle systems Feynman-Kac models U-statistics fluc-tuations limit theorems
2010/3/11
The convergence of U-statistics has been intensively studied for estimators based
on families of i.i.d. random variables and variants of them. In most cases, the indepen-
dence assumption is crucial...
“Additivity” versus “Maxitivity” at the heart of the paradoxical and efficient nature of Statistics
Additivity Maxitivity theparadoxical and efficient nature Statistics
2010/3/9
Unlike the Probability Theory based on additivity, Statistical Inference seems to hesitate between
”Additivity” and a so-called ”Maxitivity” approach. After a brief overview of three types of
princi...
Bayes,Jeffreys,Prior Distributions and the Philosophy of Statistics
Bayes Jeffreys Prior Distributions Philosophy of Statistics
2010/3/9
I actually own a copy of Harold Jeffreys’s The-
ory of Probability but have only read small bits of
it, most recently over a decade ago to confirm that,
indeed, Jeffreys was not too proud to use a ...
Edgeworth expansions for studentized statistics under weak dependence
Cramer’s condition linear process M-estimators smooth func-tion model spectral density estimator strong mixing
2010/3/9
In this paper, we derive valid Edgeworth expansions for studen-
tized versions of a large class of statistics when the data are generated
by a strongly mixing process. Under dependence, the asymptot...
On the information-theoretical foundations of quantum statistics
the information-theoretical foundations quantum statistics
2009/9/24
On the information-theoretical foundations of quantum statistics。