Estimating a Repeatable Statistical Law by Requiring Its Stability During ObservationReportar como inadecuado




Estimating a Repeatable Statistical Law by Requiring Its Stability During Observation - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

College of Optical Sciences, University of Arizona, Tucson, AZ 85721, USA





Academic Editor: Takuya Yamano

Abstract Consider a statistically-repeatable, shift-invariant system obeying an unknown probability law px ≡ q2x: Amplitude qx defines a source effect that is to be found. We show that qx may be found by considering the flow of Fisher information J → I from source effect to observer that occurs during macroscopic observation of the system. Such an observation is irreversible and, hence, incurs a general loss I - J of the information. By requiring stability of the law qx, as well, it is found to obey a principle I − J = min. of -extreme physical information- EPI. Information I is the same functional of qx for any shift-invariant system, and J is a functional defining a physical source effect that must be known at least approximately. The minimum of EPI implies that I ≈ J or received information tends to well-approximate reality. Past applications of EPI to predicting laws of statistical physics, chemistry, biology, economics and social organization are briefly described. View Full-Text

Keywords: Fisher information; extreme physical information; EPI; EPI derived; epistemology; coarse graining; Kullback–Leibler entropy; Plato’s cave; transition from substance to information; cancer growth Fisher information; extreme physical information; EPI; EPI derived; epistemology; coarse graining; Kullback–Leibler entropy; Plato’s cave; transition from substance to information; cancer growth





Autor: B. Roy Frieden

Fuente: http://mdpi.com/



DESCARGAR PDF




Documentos relacionados