## 摘要

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.

原文 | English |
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頁（從 - 到） | 1017-1026 |

頁數 | 10 |

期刊 | Journal of the American Statistical Association |

卷 | 89 |

發行號 | 427 |

DOIs | |

出版狀態 | Published - 9月 1994 |