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math.ST2013★ 10 cited
Multichannel Deconvolution with Long Range Dependence: Upper bounds on the -risk
Rafal Kulik, Theofanis Sapatinas, Justin Rory Wishart
We consider multichannel deconvolution in a periodic setting with long-memory errors under three different scenarios for the convolution operators, i.e., super-smooth, regular-smoo…
math.ST2011
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…
math.ST2010
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…