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Inference for Shift Functions in the Two-Sample Problem With Right-Censored Data: With Applications
- Source :
- Journal of the American Statistical Association. 89:1017-1026
- Publication Year :
- 1994
- Publisher :
- Informa UK Limited, 1994.
-
Abstract
- For two distribution functions, F and G, the shift function is defined by Δ(t) = G −1 · F(t) - t. The shift function is the distance from the 45° line and the quantity plotted in Q-Q plots. In the analysis of lifetime data, A 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 Δ 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 Δ is developed via the bootstrap. Construction and application of such bands are explored for the Q-Q plot.
Details
- ISSN :
- 1537274X and 01621459
- Volume :
- 89
- Database :
- OpenAIRE
- Journal :
- Journal of the American Statistical Association
- Accession number :
- edsair.doi...........be2de1d934e1e102e1cbb98a7a2977e0