Displaying similar documents to “Sufficiency in sequential experimental design problems”

Regles positionnelles iteratives, principe majoritaire et preferences unimodales

Dominique Lepelley, Laurent Vidu (2010)

RAIRO - Operations Research

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Sequential scoring rules are multi-stage social choice tules that work as follows: at each stage of the process, a score is computed for each alternative by taking into account its position in the individual preference rankings, and the alternative with the lowest score is eliminated. The current paper studies the ability of these rules for choosing the Condorcet winner (or the strong Condorcet winner) when individual preferences are single-peaked.

On the optimal continuous experimental design problem

Christos P. Kitsos (2011)

Discussiones Mathematicae Probability and Statistics

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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 sequential and fixed designs for estimation with comparisons and applications.

Mekki Terbeche, Broderick O. Oluyede, Ahmed Barbour (2005)

SORT

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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...

Adaptive control for sequential design

Roland Gautier, Luc Pronzato (2000)

Discussiones Mathematicae Probability and Statistics

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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...

The Bayes sequential estimation of a normal mean from delayed observations

Alicja Jokiel-Rokita (2006)

Applicationes Mathematicae

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The problem of estimating the mean of a normal distribution is considered in the special case when the data arrive at random times. Certain classes of Bayes sequential estimation procedures are derived under LINEX and reflected normal loss function and with the observation cost determined by a function of the stopping time and the number of observations up to this time.

P-Sequential Spaces and Cleavability

Koinac, Ljubia (1998)

Serdica Mathematical Journal

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∗ Supported by the Serbian Scientific Foundation, grant No 04M01 We consider some relations between p-sequential-like properties and cleavability of topological spaces. Under a special assumption we give an very easy proof of the following result of A.V. Arhangel’skii (the main result in [1]): if a (countably) compact space X is cleavable over the class of sequential spaces, then X is also sequential.