A Two Sample CRAMÉR‐VON MISES Test for Randomly Censored Data
- 1 January 1978
- journal article
- research article
- Published by Wiley in Biometrical Journal
- Vol. 20 (6) , 603-608
- https://doi.org/10.1002/bimj.4710200608
Abstract
A CRAMÉR‐VON MISES type statistic is introduced for testing the equality of the underlying survival distributions of two populations when observations are subject to arbitrary right censorship. The statistic is appropriate in testing problems where a two‐sided alternative is of interest. The asymptotic distribution of the statistic is found; under certain circumstances, the limiting distribution coincides with that of a one sample CRAMÉR‐VON MISES type statistic for randomly censored data investigated previously. Approximations to the asymptotic distribution are discussed; an example is given.Keywords
This publication has 9 references indexed in Scilit:
- A Large Sample Study of the Life Table and Product Limit Estimates Under Random CensorshipThe Annals of Statistics, 1974
- Asymptotically Efficient Rank Invariant Test ProceduresJournal of the Royal Statistical Society. Series A (General), 1972
- Regression Models and Life-TablesJournal of the Royal Statistical Society Series B: Statistical Methodology, 1972
- A Note on the Weak Convergence of Stochastic ProcessesThe Annals of Mathematical Statistics, 1971
- A generalized Wilcoxon test for comparing arbitrarily singly-censored samplesBiometrika, 1965
- Nonparametric Estimation from Incomplete ObservationsJournal of the American Statistical Association, 1958
- Limit Theorems Associated with Variants of the Von Mises StatisticThe Annals of Mathematical Statistics, 1952
- Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic ProcessesThe Annals of Mathematical Statistics, 1952
- An Explicit Representation of a Stationary Gaussian ProcessThe Annals of Mathematical Statistics, 1947