INFERENCE FOR SHIFT FUNCTIONS IN THE 2-SAMPLE PROBLEM WITH RIGHT-CENSORED DATA - WITH APPLICATIONS

• 成果类型: Article
• 署名作者: LU, HHS; WELLS, MT; TIWARI, RC
• 署名单位: Cornell University; University of North Carolina; University of North Carolina Charlotte
• 刊物名称: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
• ISSN/ISSBN: 0162-1459
• DOI: 10.2307/2290929
• 发表日期: 1994
• 页码: 1017-1026
• 关键词: STATISTICAL-INFERENCE; nonlinear models; 2 populations; estimator; bootstrap; plots

摘要

For two distribution functions, F and G, the shift function is defined by Delta(t) = G(-1) . F(t) - t. The shift function is the distance from the 45 degrees line and the quantity plotted in Q-Q plots. In the analysis of lifetime data, Delta represents the difference between two treatments. The shift function can also be used to find crossing points of two distribution functions. The large-sample distribution theory for estimates of Delta is studied for right-censored data. It turns out that the asymptotic covariance function depends on the unknown distribution functions F and G; hence simultaneous confidence bands cannot be directly constructed. A construction of simultaneous confidence bands for Delta is developed via the bootstrap. Construction and application of such bands are explored for the Q-Q plot.