2 papers
math.ST2024
Simultaneous semiparametric inference for single-index models
Jiajun Tang, Holger Dette
In the common partially linear single-index model we establish a Bahadur representation for a smoothing spline estimator of all model parameters and use this result to prove the jo…
math.ST2024
New energy distances for statistical inference on infinite dimensional Hilbert spaces without moment conditions
Holger Dette, Jiajun Tang
For statistical inference on an infinite-dimensional Hilbert space $\H $ with no moment conditions we introduce a new class of energy distances on the space of probability measures…