A Formalism for Expressing the Probability Density Functions of Interrelated Quantities

作者：Lira I^*; Grientschnig D

来源：Measurement Science Review, 2013, 13(2): 50-55.

DOI：10.2478/msr-2013-0015

• Probability density functions
• change of variables
• parameterizations
• Bayesian statistics

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.

• 出版日期2013