Criterion choice is such a hard problem in information recovery and in estimation and inference. In the case of inverse problems with noise, can probabilistic laws provide a basis for empirical estimator choice? That is the problem we investigate in this paper. Large Deviations Theory is used to evaluate the choice of estimator in the case of two fundamental situations-problems in modelling dat...

Social choice theory concerns itself with the proper choice of a social state from a given feasible set of social states. The main question the theory addresses is how that social choice should depend on the profile of individual preferences. Early work by Arrow and various predecessors, including Condorcet, Borda, Dodgson and Black, was about the construction of a social preference ordering — ...

We propose scoring rule mechanisms for eliciting honest responses to a multiple choice question, MCQ. The respondent’s score consists of two terms: an auxiliary score based on his response to a related auxiliary question, and the corresponding scores of other respondents giving the same response as him to the MCQ. For this to work, the auxiliary score has to be truth-incentive for the auxiliary...

wetlands as a situ for the growth of native plants, as a habitat for certain species of fish and aquatic birds, and because of their potential economic, cultural and recreational services, are valuable heritage so their protection and conservation is very essential. mostly due to the absence of wetlands services’ valuation, lack of special regulations, and lack of guarantee for these properties...