In nonparametric statistics an optimality criterion for estimation procedures is provided by the minimax rate of convergence. However this classical point of view is subject to controversy as it requires to look for the worst behaviour reached by an estimation procedure in a given space. The purpose of this paper is to show that this is not justified as the minimax risk often coincides with a g...

We address the problem of estimating some unknown density on a bounded interval using some exponential models of piecewise polynomials. We consider a finite collection of such models based on a family of partitions. And we study the maximum-likelihood estimator built on a data-driven selected model among this collection. In doing so, we validate Akaike’s criterion if the partitions that we cons...

Abstract We give a finitary criterion for the convergence of measures on non-elementary geometrically finite hyperbolic orbifolds to unique measure maximal entropy. an entropy controlling escape mass cusps orbifold. Using this criterion, we prove new results distribution collections closed geodesics such orbifold, and as corollary, equidistribution up certain length in amenable regular covers o...

It is well known that the variations of the element size have to be controlled in order to generate a high-quality mesh. Hence, several techniques have been developed to limit the gradient of the element size. However, the obtained discretizations do not always reproduce the prescribed size function. This is of the major importance for quadrilateral meshes, since they are much more constrained ...

A recent algorithm, the mu-law PNMLS, introduces a stepsize proportionate to the mu-law of the estimated tap coefficient to cancel sparse echo in telephony over packet-switch networks. It is derived by optimizing the following criterion: fastest convergence is obtained when all coefficients reach the vicinity of their target value at the same time. We present a study of synchronous convergence ...

A standard algorithm for LMS-filter simulation, tested with several convergence criteria under system identification configuration is presented in this paper. Establishing a reliable convergence criterion is mandatory in order to properly design an LMS filter and so avoid instability problems that may arise if both quantization effects and interdependency relationship among learning curve behav...

According to the traditional GA and EDA weakness, on the basis of MMEA, the orthogonal design initialization, convergence criterion and K-means clustering analysis method were introduced in this paper and it proposed a new model multi-objective evolutionary algorithm OMEA. The practice results showed that the OMEA had been greatly improved on both convergence and diversity of the solutions, rea...

The theory of distributed detection is receiving a lot of attention. A common assumption used in previous studies is the conditional independence of the observations. In this paper, the optimization of local decision rules for distributed detection networks with correlated observations is considered. We focus on presenting the detection theory for parallel distributed detection networks with fi...

Process modeling by means of Gaussian-based algorithms often suffers from redundant information which usually increases the estimation computational complexity without significantly improving the estimation performance. In this article, a non-arbitrary measurement selection criterion for Gaussian-based algorithms is proposed. The measurement selection criterion is based on the determination of ...

This study constructively extends Arthur et al. (2001) by assessing the convergence of self-report and archival motor vehicle crash involvement and moving violations data in a 2-year longitudinal follow-up. The relationships among these criteria, conscientiousness, and driving speed were also assessed using both predictive and postdictive criterion-related validation designs. Data were collecte...