1. bookVolume 13 (2013): Issue 2 (April 2013)
Journal Details
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Journal
eISSN
1335-8871
First Published
07 Mar 2008
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6 times per year
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English
Open Access

A Formalism for Expressing the Probability Density Functions of Interrelated Quantities

Published Online: 03 Apr 2013
Volume & Issue: Volume 13 (2013) - Issue 2 (April 2013)
Page range: 50 - 55
Journal Details
License
Format
Journal
eISSN
1335-8871
First Published
07 Mar 2008
Publication timeframe
6 times per year
Languages
English

In this paper we address measurement problems involving several quantities that are interrelated by model equations. Available knowledge about some of these quantities is represented by probability density functions (PDFs), which are then propagated through the model in order to obtain the PDFs attributed to the quantities for which nothing is initially known. A formalism for analyzing such models is presented. It comprises the concept of a „base parameterization“, which is used in conjunction with the change-of-variables theorem. The calculation procedure that results from this formalism is described in very general terms. Guidance is given on how to employ it in practice by presenting both an elementary example and a much more involved one.

Keywords

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