Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Testing Goodness of Fit in Nonparametric Function Estimation Techniques for Proportional Hazards Model

  • Published : 1997.08.01
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Abstract

The objective of this study is to investigate the problem of goodness of fit testing based on nonparametric function estimation techniques for the random censorship model. The small and large sample properties of the proposed test, $E_{mn}$, were investigated and it is shown that under the proportional hazard model $E_{mn}$ has higher power compared to the powers of the Kolmogorov -Smirnov, Kuiper, Cramer-von Mises, and analogue of the Cramer-von Mises type test statistic.

Keywords

References

  1. Izv. Akud. Nauk-UzzSSR Ser. Fiz. Math Nauk 1987 no.3 Estimation of Probability Density and the Hazard Rate Function in the Koziol-Green Model of Random Censorship Abdushukurov, A.A.
  2. Annals of Statistics v.2 A large sample study of the life table and product limit Estimates under Random Censorship Breslow, N.;Crowley, J.
  3. Statistics v.19 Maximum Likelihood Estimation of a survival Function under the Koziol-Green Proportional hazards model of random censorship Cheng, P.E.;Lin, G.D.
  4. Statistics v.19 Estimation in the proportional hazards model of random censorship Csorgo, S.
  5. Annals of Statistics Asymptotic Comparison of Cramer von Mises and Nonparametric Function Estimation Techniques for Testing Goodness-of-Fit Eubank, R.;LaRiccia, V.N.
  6. Journal of the American Statistical Association v.82 Test Statistical Derived as Components of Pearson's Phi-Squared Distance Measure Eubank, R.;LaRiccia, V.N.;Rosenstein, R.
  7. Commun Statist-Theory and Method v.20 Cramer-von Mises statistic for Testing Goodness-of-Fit under Proportional Hazard Model Ghorai, J.K.
  8. Journal of the American Statistical Association v.53 Nonparametric Estimation from Incomplete observations Kaplan, E.L.;Meier, P.
  9. The Korean Communications in Statistics v.2 Goodness-of-fit Test Based on Smoothing Parameter Selection Criteria Kim, J.T.
  10. Biometrica v.67 Goodness-of-fit tests for random censored data Koziol, J.A.
  11. Biometrica v.63 A Cramer-von Mises statistic for randomly censored data Koziol, J.A.;Green, S.B.
  12. Skandinavisk Aktuarietidskrift v.20 Smooth Test for Goodness-of-Fit Neyman, J.
  13. Journal of the American Statistical Association v.74 Nonparametric Statistics Data Modeling Parazen, E.
  14. Empirical Processes with Applications to Statistics Shorack, G.;Wellner, J.