Titlebook: Estimating and Choosing; An Essay on Probabil Georges Matheron Book 1989 Springer-Verlag Berlin Heidelberg 1989 construction.modeling.proba

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Why we do not Agree with the Etruscans or On the Objectivity of Probabilistic Modelsde who is right. It is likely that we shall know in the near future whether Mars is “inhabited” or not, but this experimental observation will neither confirm nor refute any of our probabilistic statements, which will remain for ever undecidable. This argument cannot be faulted. But does it necessar

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Monod and the Concept of Chance or How to Overstep the Limits of Objectivity, in principle, an elliptic form of speech. It really means “everything occurs as if this phenomenon were due to chance,” or, to be more precise: “To describe, or interpret or formalize this phenomenon, only probabilistic models have so far given good results.” It is then only a statement of fact. E

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Why we do not Agree with the Etruscans or On the Objectivity of Probabilistic Modelsmpirically empty statements. But does there really exist such a threshold, within which a probabilistic model is capable of having an objective meaning? We know that there exists one school of thought that disputes this: the “subjectivists” ., who advocate a purely subjective interpretation of proba

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The Poisson Forestject or phenomenon — a forest, a mineral deposit, a mountain range etc... — which occupies a well-defined . part of that space in which we live. These objects are interesting in themselves. They can be, and actually are, studied from the panscopic viewpoint which is that of scientific enquiry. But t

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Choice and Hierarchy of Modelsc model, its type and its specification. The situation we are referring to is as follows: we are interested in a certain phenomenon or a certain object that is defined on a . domain S of Euclidian space, with 1, 2 or 3 dimensions (possibly 4 if we also wish to include the time dimension). Let us ass

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Sorting outrs of the model specification, which ones correspond to a reality and which play a purely conventional role. For convenience of exposition I shall distinguish two stages in this quest for objectivity. The first one, which is the . operation proper, will be considered in this chapter. It is an intern