%0 Journal Article %T A limit process for a sequence of partial sums of residuals of a simple regression against order statistics with Markov-modulated noise %A Artyom Kovalevskii %A Evgeny Shatalin %J Mathematics %D 2014 %I arXiv %X We consider a simple regression model where a regressor is composed of order statistics and a noise is Markov-modulated. We introduce an empirical bridge of regression residuals and prove its weak convergence to a centered Gaussian process. %U http://arxiv.org/abs/1403.4332v2