Inference for shift functions in the two-sample problem with right-censored data: With applications Academic Article uri icon


MeSH Major

  • Antibodies, Monoclonal
  • Antineoplastic Agents
  • Protein Kinase Inhibitors
  • Receptor, Epidermal Growth Factor
  • Skin Neoplasms


  • 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. © 1994 Taylor & Francis Group, LLC.

publication date

  • January 1994



  • Academic Article


Digital Object Identifier (DOI)

  • 10.1080/01621459.1994.10476837

Additional Document Info

start page

  • 1017

end page

  • 1026


  • 89


  • 427