On testing for a survival ratio under random right censoring. (English) Zbl 1080.62075
Summary: This article develops a one-sample test for \(H_{0}: \overline {F} = \overline {F}_{0}\) in presence of random right censoring. The test statistic is of particular interest when the alternative hypothesis is that the survival ratio \(\psi= \overline {F}/ \overline {F}_{0}\) is monotone. It is proved that the test statistic is asymptotically normal under \(H_{0}\). The specific case where the censoring and survival times have proportional hazards is also considered. Finally, the testing procedure is applied to two well-known data sets.
MSC:
| 62N03 | Testing in survival analysis and censored data |
| 62N01 | Censored data models |
| 62G10 | Nonparametric hypothesis testing |
| 60G15 | Gaussian processes |
| 62G20 | Asymptotic properties of nonparametric inference |
Keywords:
asymptotic normality; competing risks; Gaussian processes; goodness-of-fit; hazard rate ordering; Koziol-Green model; stochastic orderingReferences:
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