Jeffreys, Harold An invariant form for the prior probability in estimation problems. (English) Zbl 0063.03050 Proc. R. Soc. Lond., Ser. A 186, 453-461 (1946). Summary: It is shown that a certain differential form depending on the values of the parameters in a law of chance is invariant for all transformations of the parameters when the law is differentiable with regard to all parameters. For laws containing a location and a scale parameter a form with a somewhat restricted type of invariance is found even when the law is not everywhere differentiable with regard to the parameters. This form has the properties required to give a general rule for stating the prior probability in a large class of estimation problems. Cited in 8 ReviewsCited in 225 Documents MSC: 62-XX Statistics PDF BibTeX XML Cite \textit{H. Jeffreys}, Proc. R. Soc. Lond., Ser. A 186, 453--461 (1946; Zbl 0063.03050) Full Text: DOI OpenURL