Error structures and parameter estimation

Nicolas Bouleau () and Christophe Chorro ()
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Nicolas Bouleau: CERMICS - Ecole Nationale des Ponts & Chaussées
Christophe Chorro: CERMSEM et CERMICS

Cahiers de la Maison des Sciences Economiques from Université Panthéon-Sorbonne (Paris 1)

Abstract: This article proposes and studies a link between statistics and the theory of Dirichlet forms used to compute errors. The error calculus based on Dirichlet forms is an extension of classical Gauss' approach to error propagation. The aim of this paper is to derive error structures from measurements. The links with Fisher's information lay the foundations of a strong connection with experiment. Here we show that this connection behaves well towards changes of variables and is related to the theory of asymptotic statistics. Finally the study of products permits to lay the premise of an infinite dimensional empirical error calculus

Keywords: Error; sensitivity; Dirichlet forms; squared field operator; Cramer-Rao inequality; Fischer information (search for similar items in EconPapers)
Pages: 19 pages
Date: 2004-07
New Economics Papers: this item is included in nep-ecm
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:mse:wpsorb:b04079

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