Nonparametric Goodness-Of-Fit Testing Under Gaussian Models

Presenting the modern theory of nonparametric goodness-of-fit testing, this study is based on an asymptotic version of the minimax approach. The methods for the... » 

Presenting the modern theory of nonparametric goodness-of-fit testing, this study is based on an asymptotic version of the minimax approach. The methods for the construction of asymptotically optimal, rate optimal, and optimal adaptive test procedures are developed. «