3,384 research outputs found
The exponential statistical manifold: mean parameters, orthogonality and space transformations.
No full textLet be a measure space, and let denote the set of the -almost surely strictly positive probability densities. It was shown by G. Pistone and C. Sempi (1995) that the global geometry on can be realized by an affine atlas whose charts are defined locally by the mappings , where is a suitable open set containing , is the Kullback-Leibler relative information and is the vector space of centered and exponentially -integrable random variables.
In the present paper we study the transformation of such an atlas and the related manifold structure under basic transformations, that is measurable transformation of the sample space. A generalization of the mixed parameterization method for exponential models is also presented
2-level fractional factorial designs which are the union of non trivial regular designs
No full textLa Matematica e le sue Applicazioni - Politecnico DIMAT n.16/200
Detection of high impact tourist events from occupancy data. An application to Piemonte, Italy
No full textLa Matematica e le sue Applicazioni - Politecnico DIMAT n.06/201
Martingale inequalities within the topology of Orlicz spaces
No full textRapporto interno N.31 del Dipartimento di Matematica del Politecnico di Torino, Ital
Connections on non-parametric statistical manifolds by Orlicz space geometry
No full textINFINITE DIMENSIONAL ANALYSIS, QUANTUM PROBABILITY AND RELATED TOPIC
Analytical and geometrical properties of statistical connections in Information Geometry
No full textInformation Geometry is a field where one can measure the deep impact of geometry and analysis in statistics, information theory and related applied fields. The present contribution has the goal of showing also the impact that statistics and information theory can have in geometry and analysis. Indeed it is clear that the development of the non-parametric and non-commutative versions of Information Geometry need a massive use of mathematical instruments of infinite-dimensional analysis, geometry and operator theory. On the other side there is an increasing interest of mathematicians for the non-trivial problems that are suggested by the application of Information Geometry. Even in the elementary case of a finite state space, the geometrical approach adds considerable insight to the modeling of applied problems
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