10 citations · 38 across the 25 of their papers we have counts for
5 papers · 2 filters
Optimality regions for designs in multiple linear regression models with correlated random coefficients
Ulrike Graßhoff, Heinz Holling, Frank Röttger +1
This paper studies optimal designs for linear regression models with correlated effects for single responses. We introduce the concept of rhombic design to reduce the computational…
Convergence of least squares estimators in the adaptive Wynn algorithm for a class of nonlinear regression models
Fritjof Freise, Norbert Gaffke, Rainer Schwabe
The paper continues the authors' work on the adaptive Wynn algorithm in a nonlinear regression model. In the present paper it is shown that if the mean response function satisfies…
The adaptive Wynn-algorithm in generalized linear models with univariate response
Fritjof Freise, Norbert Gaffke, Rainer Schwabe
For a nonlinear regression model the information matrices of designs depend on the parameter of the model. The adaptive Wynn-algorithm for D-optimal design estimates the parameter…
Analytic solutions for locally optimal designs for gamma models having linear predictor without intercept
Osama Idais, Rainer Schwabe
The gamma model is a generalized linear model for gamma-distributed outcomes. The model is widely applied in psychology, ecology or medicine. In this paper we focus on gamma models…
The semi-algebraic geometry of saturated optimal designs for the Bradley-Terry model
Thomas Kahle, Frank Röttger, Rainer Schwabe
Optimal design theory for nonlinear regression studies local optimality on a given design space. We identify designs for the Bradley--Terry paired comparison model with small undir…