Testing for linearity in boundary regression models with application to maximal life expectancies
Statistics Theory
2020-10-01 v1 Statistics Theory
Abstract
We consider a regression model with errors that are a.s. negative. Thus the regression function is not the expected value of the observations but the right endpoint of their support. We develop two goodness-of-fit tests for the hypotheses that the regression function is an affine function, study the asymptotic distributions of the test statistics in order to approximately fix the sizes of the tests, derive their finite-sample properties based on simulations and apply them to life expectancy data.
Cite
@article{arxiv.2009.14761,
title = {Testing for linearity in boundary regression models with application to maximal life expectancies},
author = {Jürgen Kampf and Alexander Meister},
journal= {arXiv preprint arXiv:2009.14761},
year = {2020}
}