Conditional Rank Tests for the Two-Sample Problem with Partially Observed Data

  • Georg Neuhaus
Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)

Abstract

In the two-sample random censorship model with the additional complication that the minimum variable is observable only for the uncensored data we develop asymptotically optimal conditional rank tests for testing the null hypothesis of randomness H 0 being finite sample distribution free under H o

AMS 1991 subject classifications

62G20 62G10 

Key words

Censoring partially observed data conditioning finite sample validity asymptotic normality optimality. 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Albers, W. and Akritas, M.G. (1987). Combined rank tests for the two-sample problem with randomly censored data. J. American Statist. Ass., 82, 648–655.MathSciNetMATHCrossRefGoogle Scholar
  2. Hájek, J. and Sidák, Z. (1967). Theory of Rank Tests. Academic Press, New York.MATHGoogle Scholar
  3. Janssen, A. (1989). Local asymptotic normality for randomly censored models with applications to rank tests. Statistica Neerlandica 43, 109–125.MathSciNetMATHCrossRefGoogle Scholar
  4. Neuhaus, G. (1988). Asymptotically optimal rank tests for the two-sample problem with randomly censored data. Communications in Statistics-Theory and Methods 17, 2037–2058.MATHCrossRefGoogle Scholar
  5. Suzuki, K. (1985). Nonparametric estimation of lifetime distributions from a record of failures and follow-ups. J. American Statist. Ass. 80, 68–72.MATHCrossRefGoogle Scholar
  6. Witting, H. (1985). Mathematische Statistik I. Teubner, Stuttgart.MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Georg Neuhaus
    • 1
  1. 1.Inst.f.Math.StochasticsUniversity of HamburgHamburgGermany

Personalised recommendations