1,721,050 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
Stima bayesiana della distribuzione della qualità uscente con campionamento per l'accettazione poissoniano
No full text
Indicator function and complex coding for mixed fractional factorial designs
No full textIn a general fractional factorial design, the n levels of a factor are coded by the nth roots of the unity. This device allows a full generalization to mixed-level designs of the theory of the polynomial indicator function which has already been introduced for two-level designs in a joint paper with Fontana. The properties of orthogonal arrays and regular fractions are discussed
Algebraic statistics of level codings for fractional factorial designs
No full textWe discuss the applications of Algebraic Statistics to fractional factorial design with special emphasis on the choice of level coding. In particular we deal with the theory of Bayley (1983) level codings in that framework
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