A New Sequential Design Based on the Robbins-Monro Procedure.
A penalized bandit algorithm.
Adaptive biased-coin designs for clinical trials with several treatments
Adaptive designs are used in phase III clinical trials for skewing the allocation pattern towards the better treatments. We use optimum design theory to provide a skewed biased-coin procedure for sequential designs with continuous responses. The skewed designs are used to provide adaptive designs, the performance of which is studied numerically for designs with three treatments. Important properties are loss and the proportion of allocation to inferior treatments. Regularisation to provide consistent...
Adaptive control for sequential design
The optimal experiment for estimating the parameters of a nonlinear regression model usually depends on the value of these parameters, hence the problem of designing experiments that are robust with respect to parameter uncertainty. Sequential designpermits to adapt the experiment to the value of the parameters, and can thus be considered as a robust design procedure. By designing theexperiments sequentially, one introduces a feedback of information, and thus dynamics, into the design procedure....
An alternative method for construction of optimal sequential questionnaires
An asymptotic optimal design.
Asymptotic Considerations for Selecting the Best Component of a Multivariate Normal Population.
Asymptotic optimality of experimental designs in estimating a product of means.
Asymptotic optimality of sequential designs for estimation.
Diseño secuencial para discriminar entre modelos, basado en la información cuadrática.
La información cuadrática es una buena alternativa a la información de Shannon para todos aquellos problemas que, por su naturaleza, interesa tratarlos con una utilidad no local. El objetivo de este trabajo es dar, para estas situaciones, un método secuencial de construcción de diseños para discriminación entre modelos, basado en la maximización de la información cuadrática.Después de una introducción, donde se resumen los conceptos y resultados principales sobre información cuadrática, se plantea...
Inverse sampling and triangular sequential designs to compare a small proportion with a reference value.
Inverse sampling and formal sequential designs may prove useful in reducing the sample size in studies where a small population proportion p is compared with a hypothesized reference proportion p0. These methods are applied to the design of a cytogenetic study about chromosomal abnormalities in men with a daughter affected by Turner's syndrome. First it is shown how the calculated sample size for a classical design depends on the parameterization used. Later this sample size is compared with the...
Las medidas de f*-divergencia en el diseño secuencial de experimentos en un contexto bayesiano.
Se presenta un método de selección secuencial de un número fijo de experimentos a partir de las medidas de f*-divergencia introducidas por Csiszar (1967). Este trabajo es similar al desarrollado por De Groot (1970) con funciones de incertidumbre; sin embargo, no sólo se considera el problema de espacio paramétrico finito, sino que se estudia además el caso de espacio paramétrico infinito.
On a Stopping Rule for a Class of Sequential Decision Problems.
On sequential and fixed designs for estimation with comparisons and applications.
A fully sequential approach to the estimation of the difference of two population means for distributions belonging to the exponential family of distributions is adopted and compared with the best fixed design. Results on the lower bound for the Bayes risk due to estimation and expected costs are presented and shown to be of first order efficiency. Applications involving the Poisson and exponential distributions with gamma priors as well as the Bernouilli distribution with beta priors are given....
On sequential minimax estimation for the exponential class of processes
On some minimax sequential decision problems with partial observability
On the optimal continuous experimental design problem
The target of this paper is to provide a compact review of the Optimal Experimental Design, the continuous case. Therefore we are referring to the general nonlinear problem in comparison to the linear one.
On the Two Armed Bandit with one Probability Known.
Play-the-winner rule and adaptive designs of clinical trials.
Sequential Allocation to Two Treatments that Converges to an a-Superior Treatment.