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8 papers · 1 filter
Minimax lower bound for kink location estimators in a nonparametric regression model with long-range dependence
Justin Rory Wishart
In this paper, a lower bound is determined in the minimax sense for change point estimators of the first derivative of a regression function in the fractional white noise model. Si…
Asymptotic distributions for a class of generalized -statistics
Yuri V. Borovskikh, N. C. Weber
We adapt the techniques in Stigler [Ann. Statist. 1 (1973) 472--477] to obtain a new, general asymptotic result for trimmed -statistics via the generalized -statistic represe…
Strong approximations of level exceedences related to multiple hypothesis testing
Peter Hall, Qiying Wang
Particularly in genomics, but also in other fields, it has become commonplace to undertake highly multiple Student's -tests based on relatively small sample sizes. The literatur…
Kink estimation in stochastic regression with dependent errors and predictors
Justin Wishart, Rafal Kulik
In this article we study the estimation of the location of jump points in the first derivative (referred to as kinks) of a regression function μin two random design models with dif…
Wavelet regression in random design with heteroscedastic dependent errors
Rafał Kulik, Marc Raimondo
We investigate function estimation in nonparametric regression models with random design and heteroscedastic correlated noise. Adaptive properties of warped wavelet nonlinear appro…
Reduction principles for quantile and Bahadur-Kiefer processes of long-range dependent linear sequences
Miklós Csörgő, Rafal Kulik
In this paper we consider quantile and Bahadur-Kiefer processes for long range dependent linear sequences. These processes, unlike in previous studies, are considered on the whole…