W. Bischoff

activity

19932016

most citedOptimal designs which are efficient for lack of fit tests

21 citations · 38 across the 5 of their papers we have counts for

collaborators

5 papers

math.ST2016★ 7 cited

Boundary crossing probabilities for $(q, d)$ -Slepian-processes

Wolfgang Bischoff, Andreas Gegg

For $0 < q < d$ fixed let $W^{[q, d]} = (W_{t}^{[q, d]})_{t \in [q, d]}$ be a $(q, d)$ -Slepian-process defined as centered, stationary Gaussian process with continuous sample paths and covar…

math.ST2016

On Designs for Recursive Least Squares Residuals to Detect Alternatives

Wolfgang Bischoff

Linear regression models are checked by a lack-of-fit (LOF) test to be sure that the model is at least approximatively true. In many practical cases data are sampled sequentially.…

math.PR2016★ 4 cited

The Cameron-Martin Theorem for (p-)Slepian processes

Wolfgang Bischoff, Andreas Gegg

We show a Cameron-Martin theorem for Slepian processes $W_{t} := \frac{1}{p} (B_{t} - B_{t - p}), t \in [p, 1]$ , where $p \geq \frac{1}{2}$ and $B_{s}$ is Brownian motion. More exactly, we…

math.ST2006★ 21 cited

Optimal designs which are efficient for lack of fit tests

Wolfgang Bischoff, Frank Miller

Linear regression models are among the models most used in practice, although the practitioners are often not sure whether their assumed linear regression model is at least approxi…

hep-th1993★ 6 cited

On a Jordan-algebraic formulation of quantum mechanics: Hilbert space construction