Sequential Analysis of Cox Model under Response Dependent Allocation
Statistics Theory
2013-12-24 v2 Statistics Theory
Abstract
Sellke and Siegmund (1983) developed the Brownian approximation to the Cox partial likelihood score as a process of calendar time, laying the foundation for group sequential analysis of survival studies. We extend their results to cover situations in which treatment allocations may depend on observed outcomes. The new development makes use of the entry time and calendar time along with the corresponding -filtrations to handle the natural information accumulation. Large sample properties are established under suitable regularity conditions.
Cite
@article{arxiv.1106.2790,
title = {Sequential Analysis of Cox Model under Response Dependent Allocation},
author = {Xiaolong Luo and Gongjun Xu and Zhiliang Ying},
journal= {arXiv preprint arXiv:1106.2790},
year = {2013}
}