%0 Unpublished work
%T Testing for equality between two transformations of random variables
%+ Institut de mathématiques de Luminy (IML)
%A Boutahar, Mohamed
%A Pommeret, Denys
%Z 15 pages
%8 2011-10-31
%D 2011
%Z 1110.6896
%K empirical cumulative distribution
%K nonlinear contamination
%K nonparametric estimation
%Z 62G10, 62G05
%Z Statistics [stat]/Methodology [stat.ME]Preprints, Working Papers, ...
%X Consider two random variables contaminated by two unknown transformations. The aim of this paper is to test the equality of those transformations. Two cases are distinguished: first, the two random variables have known distributions. Second, they are unknown but observed before contaminations. We propose a nonparametric test statistic based on empirical cumulative distribution functions. Monte Carlo studies are performed to analyze the level and the power of the test. An illustration is presented through a real data set.
%G English
%2 https://hal.science/hal-00637214/document
%2 https://hal.science/hal-00637214/file/BoutaharPommertHall.pdf
%L hal-00637214
%U https://hal.science/hal-00637214
%~ CNRS
%~ UNIV-AMU
%~ IML
%~ I2M