Bibliography
Journal Article
Precision Index in the Multivariate Context
: Communications in Statistics - Theory and Methods vol.43, 2 (2014), p. 377-387
: 1M06047, GA MŠk
: data depth, multivariate quantile, process capability index, precision index, regression quantile
: 10.1080/03610926.2012.661509
: http://library.utia.cas.cz/separaty/2014/SI/siman-0425059.pdf
(eng): General multivariate quantiles are employed to extend the classic univariate process precision index to the multivariate context under very mild conditions. Using halfspace depth regions for this purpose is especially recommended because it leads to both computational simplicity and natural generalizations to the tool-wear setup thanks to some recent advances in multiple-output and projectional quantile regression. A few examples are included to illustrate how the methodology might work in practice.
: BA