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Extremal Families and Systems of Sufficient Statistics

Steffen L Lauritzen
Livre broché | Anglais | Lecture Notes in Statistics | n° 49
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Description

The pOint of view behind the present work is that the connection between a statistical model and a statistical analysis-is a dua- lity (in a vague sense). In usual textbooks on mathematical statistics it is often so that the statistical model is given in advance and then various in- ference principles are applied to deduce the statistical ana- lysis to be performed. It is however possible to reverse the above procedure: given that one wants to perform a certain statistical analysis, how can this be expressed in terms of a statistical model? In that sense we think of the statistical analysis and the stati- stical model as two ways of expressing the same phenomenon, rather than thinking of the model as representing an idealisation of "truth" and the statistical analysis as a method of revealing that truth to the scientist. It is not the aim of the present work to solve the problem of giving the correct-anq final mathematical description of the quite complicated relation between model andanalysis. We have rather restricted ourselves to describe a particular aspect of this, formulate it in mathematical terms, and then tried to make a rigorous and consequent investigation of that mathematical struc- ture.

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Contenu

Nombre de pages :
268
Langue:
Anglais
Collection :
Tome:
n° 49

Caractéristiques

EAN:
9780387968728
Date de parution :
28-11-88
Format:
Livre broché
Format numérique:
Trade paperback (VS)
Dimensions :
156 mm x 234 mm
Poids :
408 g

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