There exist several estimators of the memory parameter in long-memory time series models with mean µ and the spectrum specified only locally near zero frequency. In this paper we give a lower bound for the rate of convergence of any estimator of the memory parameter as a function of the degree...

In Giraitis, Robinson, and Samarov (1997), we have shown that the optimal rate for memory parameter estimators in semiparametric long memory models with degree of "local smoothness" [beta] is n-r([beta]), r([beta])=[beta]/(2[beta]+1), and that a log-periodogram regression estimator (a modified...

Les activités équestres connaissent depuis une trentaine d’années un développement spectaculaire. Ainsi, le nombre de licenciés de la Fédération Française d’Equitation est passé de 266000 en 1992 à plus de 700000 en 2011, la plaçant comme troisième fédération sportive nationale...

In France, equestrian sports and leisure have been growing since the 1990s. Consequently the number of equestrian events has multiplied. For example, 120,000 equestrian competitions were organized in 2012 and their number has increased by 111% in 10 years. As a result we wonder in what ways...

Horses are increasingly present in pastoral areas but little is known about their potential contribution to rangeland utilization. In order to investigate this question in the context of Southern France, a specific research project was undertaken, with: 1) a farm-scale analysis to determine the...

Le développement des loisirs équestres en France est en grande partie porté par des particuliers, propriétaires de leur(s) équidé(s). Cet article étudie les facteurs susceptibles de rendre compte de la plus ou moins grande importance de ces équidés dans les espaces ruraux et...