Error structures and parameter estimation

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This article proposes 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. We show that this connection behaves well towards changes of variables and is related to the theory of asymptotic statistics.

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Statistics Theory, Functional Analysis, Probability, 31C25, 47B25, 49Q12, 62F99, 62B10, 65G99

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http://salesiana.dossiersoluciones.com/handle/123456789/131275

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612258
 http://arxiv.org/abs/math/0612258

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arXiv