Approximations et majorations optimales des statistiques d'ordre d'un échantillon
Asymptotic behavior of the empirical process for gaussian data presenting seasonal long-memory
We study the asymptotic behavior of the empirical process when the underlying data are gaussian and exhibit seasonal long-memory. We prove that the limiting process can be quite different from the limit obtained in the case of regular long-memory. However, in both cases, the limiting process is degenerated. We apply our results to von–Mises functionals and -Statistics.
Asymptotic behavior of the Empirical Process for Gaussian data presenting seasonal long-memory
We study the asymptotic behavior of the empirical process when the underlying data are Gaussian and exhibit seasonal long-memory. We prove that the limiting process can be quite different from the limit obtained in the case of regular long-memory. However, in both cases, the limiting process is degenerated. We apply our results to von–Mises functionals and U-Statistics.
Asymptotic covariances of empirical processes
Asymptotic distribution of Gumbel statistic in a semi-parametric approach.
Asymptotic normality and convergence rates of linear rank statistics under alternatives
Asymptotic Normality of Linear Functions of Concomitants of Order Statistics
Asymptotic Properties of Minimum Contrast Estimators for Parameters of Boolean Models.