Testing the independence of two Poisson processes.
Testing Whether F is More IFR than G .
Tests derived from characterizations in terms of moments of record values
We derive tests of fit from characterizations of continuous distributions via moments of the kth upper record values.
Tests of fit for the logarithmic distribution.
Tests of independence of normal random variables with known and unknown variance ratio
In the paper, a new approach to construction test for independenceof two-dimensional normally distributed random vectors is given under the assumption that the ratio of the variances is known. This test is uniformly better than the t-Student test. A comparison of the power of these two tests is given. A behaviour of this test forsome ε-contamination of the original model is also shown. In the general case when the variance ratio is unknown, an adaptive test is presented. The equivalence between...
Tests of Significance for the Average Square Deviation from Target in a Finite Lot.
Tests robustes pour des variables indépendantes et des chaînes de Markov
Tests simultanés de permutation des rangs pour bruit-blanc multivarié
Text document classification based on mixture models
Finite mixture modelling of class-conditional distributions is a standard method in a statistical pattern recognition. This paper, using bag-of-words vector document representation, explores the use of the mixture of multinomial distributions as a model for class-conditional distribution for multiclass text document classification task. Experimental comparison of the proposed model and the standard Bernoulli and multinomial models as well as the model based on mixture of multivariate Bernoulli distributions...
The analysis of symmetry and asymmetry : orthogonality of decomposition of symmetry into quasi-symmetry and marginal symmetry for multi-way tables
For the analysis of square contingency tables, Caussinus (1965) proposed the quasi-symmetry model and gave the theorem that the symmetry model holds if and only if both the quasi-symmetry and the marginal homogeneity models hold. Bishop, Fienberg and Holland (1975, p.307) pointed out that the similar theorem holds for three-way tables. Bhapkar and Darroch (1990) gave the similar theorem for general multi-way tables. The purpose of this paper is (1) to review some topics on various symmetry models,...
The asymptotic distribution of the bootstrap sample mean of an infinitesimal array
The asymptotic distributions of statistics based on logarithms of spacings
The Berry-Esseen theorem for rank statistics
The beta Gumbel distribution.
The Bhattacharyya metric as an absolute similarity measure for frequency coded data
This paper highlights advantageous properties of the Bhattacharyya metric over the chi-squared statistic for comparing frequency distributed data. The original interpretation of the Bhattacharyya metric as a geometric similarity measure is reviewed and it is pointed out that this derivation is independent of the use of the Bhattacharyya measure as an upper bound on the probability of misclassification in a two-class problem. The affinity between the Bhattacharyya and Matusita measures is described...
The bootstrap of the mean with arbitrary bootstrap sample size
The cross-validation method in the smoothing spline regression.
The distribution of the estimate of entropy and its applications
The double kernel method in density estimation
The emergence of french probabilistic statistics. Borel and the Institut Henri Poincaré around the 1920s
This paper concerns the emergence of modern mathematical statistics in France after the First World War. Emile Borel’s achievements are presented, and especially his creation of two institutions where mathematical statistics was developed: the Statistical Institute of Paris University, (ISUP) in 1922 and above all the Henri Poincaré Institute (IHP) in 1928. At the IHP, a new journal Annales de l’Institut Henri Poincaré was created in 1931. We discuss the first papers in that journal dealing with...