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We develop a principled way of identifying probability distributions whose independent and identically distributed (iid) realizations are compressible, i.e., can be approximated as sparse. We focus on...
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...
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...
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.
This paper studies the evolution of income concentration in Japan from 1886 to 2002 by constructing long-run series of top income shares and top wage income shares, using income tax statistics. We fin...
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...
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...
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...
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...
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...
Principal health statistics agency in the U.S. with a wide range of national health data sources. Part of the CDC.
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...
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...

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