Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Norbert. Gaffke"'
Publikováno v:
Journal of Statistical Planning and Inference. 203:199-214
Gamma models with a power link function are considered constituting a particular class of Generalized Linear Models. Relevant structures for the linear predictor are employed covering the common models studied in the literature. One or more quantitat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d3ccac3117da2753681ef5bb3ff1356
https://doi.org/10.1016/j.jspi.2019.04.002
https://doi.org/10.1016/j.jspi.2019.04.002
Publikováno v:
The Annals of Statistics. 49
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 at each step on the basis of the observed responses and employed desi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83da7a2954881c8faf0f0f066aed9b63
https://doi.org/10.1214/20-aos1974
https://doi.org/10.1214/20-aos1974
Autor:
Norbert Gaffke, Rainer Schwabe
Publikováno v:
Journal of Statistical Planning and Inference. 198:62-78
Given a linear regression model and an experimental region for the independent variable, the problem of finding an optimal approximate design calls for minimizing a convex optimality criterion over a convex set of information matrices of feasible app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7c17c5f1c9b59a2597e1fd815ea682a
https://doi.org/10.1016/j.jspi.2018.03.005
https://doi.org/10.1016/j.jspi.2018.03.005
The paper continues the authors’ work (Freise et al. The adaptive Wynn-algorithm in generalized linear models with univariate response. arXiv:1907.02708, 2019) on the adaptive Wynn algorithm in a nonlinear regression model. In the present paper the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c774380f13717f0d09b75bd1e42ec6ff
Publikováno v:
Journal of Multivariate Analysis. 142:48-56
The concept of seemingly unrelated models is used for multivariate observations when the components of the multivariate dependent variable are governed by mutually different sets of explanatory variables and the only relation between the components i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52b78ee9595306cb7f0cbc2aa493ce43
https://doi.org/10.1016/j.jmva.2015.07.011
https://doi.org/10.1016/j.jmva.2015.07.011
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 36:1164-1179
We prove a new inequality for the expectation $E\left[\log\det\left(\mathbf{W}\mathbf{Q}+\mathbf{I}\right)\right]$, where $\mathbf{Q}$ is a nonnegative definite matrix and $\mathbf{W}$ is a diagonal random matrix with identically distributed nonnegat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a00776827446324dc9024ee585748ad2
https://doi.org/10.1137/140954647
https://doi.org/10.1137/140954647
Publikováno v:
Computational Statistics & Data Analysis. 71:1113-1123
The basic structure of algorithms for numerical computation of optimal approximate linear regression designs is briefly summarized. First order methods are contrasted to second order methods. A first order method, also called a vertex direction metho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::39c71d5e62cf6732aaff8ffb23e8daac
https://doi.org/10.1016/j.csda.2013.07.029
https://doi.org/10.1016/j.csda.2013.07.029
Autor:
Norbert Gaffke, Friedrich Pukelsheim
Publikováno v:
Mathematical Social Sciences. 56:166-184
When the seats in a parliamentary body are to be allocated proportionally to some given weights, such as vote counts or population data, divisor methods form a prime class to carry out the apportionment. We present a new characterization of divisor m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f9822b2e86615aac7982400f20e486c
https://doi.org/10.1016/j.mathsocsci.2008.01.004
https://doi.org/10.1016/j.mathsocsci.2008.01.004
Autor:
Friedrich Pukelsheim, Norbert Gaffke
Publikováno v:
Mathematical Methods of Operations Research. 67:133-159
Algorithms for the proportional rounding of a nonnegative vector, and for the biproportional rounding of a nonnegative matrix are discussed. Here we view vector and matrix rounding as special instances of a generic optimization problem that employs a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d74d4f003a607830a82a2696eb71192c
https://doi.org/10.1007/s00186-007-0184-7
https://doi.org/10.1007/s00186-007-0184-7
Autor:
Norbert Gaffke, Andreas Zöllner
Publikováno v:
Communications in Statistics - Theory and Methods. 32:2305-2320
Suppose a finite population of N objects each of which has an unknown value μ i ≥ 0, i = 1, … , N of a nonnegative characteristic of interest. A random sample has been drawn, but only for a selected subset of the sample the μ-values have been o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce51f4f9c00c0c449b31a9b6e44651df
https://doi.org/10.1081/sta-120025380
https://doi.org/10.1081/sta-120025380