Erratum: Second-order approximation of the entropy in nonlinear least-squares estimation
Estimation and experimental design in a linear regression model using prior information
Estimation de certaines interactions en analyse de variance
Estudio de la producción de energía eléctrica de una dinamo movida por una turbina hidráulica mediante diseños factoriales.
Este artículo es el resultado de una práctica voluntaria de carácter académico, referida al temario de la asignatura de Estadística de tercer curso de la Escuela de Ingenieros Industriales.Por tanto, el objetivo principal es ver cómo mediante un conjunto reducido de experimentos, el diseño fraccional permite extraer información de un proceso o sistema sometido a la influencia de un número elevado de factores.
Exact and Approximate D-Optimal Designs in Polynomial Regression.
Experiments with Mixtures: Optimal Allocations for Becker's Models.
Factorial experimental designs and generalized linear models.
This paper deals with experimental designs adapted to a generalized linear model. We introduce a special link function for which the orthogonality of design matrix obtained under Gaussian assumption is preserved. We investigate by simulation some of its properties.
Feststellung des Kontrollintervalls und des Stichprobenplanes für die Diagramme gut-schlecht
First and Second Order Rotatability of Experimental Designs, Moment Matrices, and Information Surfaces.
Graphs, topologies and simple games.
We study the existence of connected coalitions in a simple game restricted by a partial order. First, we define a topology compatible with the partial order in the set of players. Second, we prove some properties of the covering and comparability graphs of a finite poset. Finally, we analize the core and obtain sufficient conditions for the existence of winning coalitions such that contains dominant players in simple games restricted by the connected subspaces of a finite topological space.
-optimal rejection with preview: geometric constraints and dynamic feedforward solutions via spectral factorization
In this work, a feedforward dynamic controller is devised in order to achieve H2-optimal rejection of signals known with finite preview, in discrete-time systems. The feedforward approach requires plant stability and, more generally, robustness with respect to parameter uncertainties. On standard assumptions, those properties can be guaranteed by output dynamic feedback, while dynamic feedforward is specifically aimed at taking advantage of the available preview of the signals to be rejected, in...
Handcuffed Designs.
Hilbert-space methods in experimental design
How the design of an experiment influences the nonsensitiveness regions in models with variance components
Nonsensitiveness regions for estimators of linear functions, for confidence ellipsoids, for the level of a test of a linear hypothesis on parameters and for the value of the power function are investigated in a linear model with variance components. The influence of the design of an experiment on the nonsensitiveness regions mentioned is numerically demonstrated and discussed on an example.
Incomplete homogeneous multiresponse models: estimation
Inference for random effects in prime basis factorials using commutative Jordan algebras
Commutative Jordan algebras are used to drive an highly tractable framework for balanced factorial designs with a prime number p of levels for their factors. Both fixed effects and random effects models are treated. Sufficient complete statistics are obtained and used to derive UMVUE for the relevant parameters. Confidence regions are obtained and it is shown how to use duality for hypothesis testing.
Information contained in design points of experiments with correlated observations
A random process (field) with given parametrized mean and covariance function is observed at a finite number of chosen design points. The information about its parameters is measured via the Fisher information matrix (for normally distributed observations) or using information functionals depending on that matrix. Conditions are stated, under which the contribution of one design point to this information is zero. Explicit expressions are obtained for the amount of information coming from a selected...
Information matrices for some elliptically symmetric distributions.
The Fisher information matrices are derived for three of the most popular elliptically symmetric distributions: the Pearson type II, Pearson type VII and the Kotz type distributions. We hope the results could be important to the many researchers working in this area.
Inverting covariance matrices
Some useful tools in modelling linear experiments with general multi-way classification of the random effects and some convenient forms of the covariance matrix and its inverse are presented. Moreover, the Sherman-Morrison-Woodbury formula is applied for inverting the covariance matrix in such experiments.
Konkrete optimale Versuchspläne für ein lineares Modell mit einem qualitativen und zwei quantitativen Einflußfaktoren.