Displaying similar documents to “Risk aversion, prudence and mixed optimal saving models”

Measuring consistency and inconsistency of pair comparison systems

Jaroslav Ramík, Milan Vlach (2013)

Kybernetika

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In this paper we deal with mathematical modeling of real processes that are based on preference relations in the sense that, for every pair of distinct alternatives, the processes are linked to a value of preference degree of one alternative over the other one. The use of preference relations is usual in decision making, psychology, economics, knowledge acquisition techniques for knowledge-based systems, social choice and many other social sciences. For designing useful mathematical...

Hypotheses testing with the two-parameter Pareto distribution on the basis of records in fuzzy environment

Ali Reza Saeidi, Mohammad Ghasem Akbari, Mahdi Doostparast (2014)

Kybernetika

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In problems of testing statistical hypotheses, we may be confronted with fuzzy concepts. There are also situations in which the available data are record statistics such as weather and sports. In this paper, we consider the problem of testing fuzzy hypotheses on the basis of records. Pareto distribution is investigated in more details since it is used in applications including economic and life testing analysis. For illustrative proposes, a real data set on annual wage is analyzed using...

φ PHI-divergences, sufficiency, Bayes sufficiency, and deficiency

Friedrich Liese (2012)

Kybernetika

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The paper studies the relations between φ -divergences and fundamental concepts of decision theory such as sufficiency, Bayes sufficiency, and LeCam’s deficiency. A new and considerably simplified approach is given to the spectral representation of φ -divergences already established in Österreicher and Feldman [28] under restrictive conditions and in Liese and Vajda [22], [23] in the general form. The simplification is achieved by a new integral representation of convex functions in terms...

An unbounded Berge's minimum theorem with applications to discounted Markov decision processes

Raúl Montes-de-Oca, Enrique Lemus-Rodríguez (2012)

Kybernetika

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This paper deals with a certain class of unbounded optimization problems. The optimization problems taken into account depend on a parameter. Firstly, there are established conditions which permit to guarantee the continuity with respect to the parameter of the minimum of the optimization problems under consideration, and the upper semicontinuity of the multifunction which applies each parameter into its set of minimizers. Besides, with the additional condition of uniqueness of the minimizer,...