Lutz Dümbgen

collaborators

2 papers

stat.CO2008★ 73 cited

Extensions of smoothing via taut strings

Lutz Duembgen, Arne Kovac

Suppose that we observe independent random pairs $(X_{1}, Y_{1})$ , $(X_{2}, Y_{2})$ , >..., $(X_{n}, Y_{n})$ . Our goal is to estimate regression functions such as the conditional mean or $β$ --quan…

math.ST2006★ 10 cited

Confidence bands for convex median curves using sign-tests

Lutz Duembgen

Suppose that one observes pairs $(x_{1}, Y_{1})$ , $(x_{2}, Y_{2})$ , ..., $(x_{n}, Y_{n})$ , where $x_{1} \leq x_{2} \leq ... \leq x_{n}$ are fixed numbers, and $Y_{1}, Y_{2}, ..., Y_{n}$ are independent random variab…