TY - JOUR
AU - Oksana Chernova
AU - Alexander Kukush
PY - 2019/12/20
Y2 - 2021/10/23
TI - Testing Linear and Nonlinear Hypotheses in a Cox Proportional Hazards Model with Errors in Covariates
JF - Lithuanian Journal of Statistics
JA - Lithuanian J. Statist.
VL - 58
IS - 1
SE - Articles
DO - 10.15388/LJS.2019.16669
UR - https://www.journals.vu.lt/statisticsjournal/article/view/16669
AB - We investigate linear and nonlinear hypotheses testing in a Cox proportional hazards model for right-censored survival data when the covariates are subject to measurement errors. In Kukush and Chernova (2018) [Theor. Probability and Math. Statist. 96, 101–110], a consistent simultaneous estimator is introduced for the baseline hazard rate and the vector of regression parameters. Therein the baseline hazard rate belongs to an unbounded set of nonnegative Lipschitz functions, with fixed constant, and the vector of regression parameters belongs to a compact parameter set. Based on the estimator, we develop two procedures to test nonlinear and linear hypotheses about the vector of regression parameters: Wald-type and score-type tests. The latter is based on an unbiased estimating equation. The consistency of the tests is shown.
ER -