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Goodness-of-fit test for randomly censored data based on maximum correlation

  • Ewa Strzalkowska-Kominiak [1] ; Aurea Grané [2] Árbol académico
    1. [1] Cracow University of Technology

      Cracow University of Technology

      Kraków, Polonia

    2. [2] Universidad Carlos III de Madrid

      Universidad Carlos III de Madrid

      Madrid, España

  • Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 41, Nº. 1, 2017, págs. 119-138
  • Idioma: inglés
  • Enlaces
  • Resumen
    • In this paper we study a goodness-of-fit test based on the maximum correlation coefficient, in the context of randomly censored data. We construct a new test statistic under general right- censoring and prove its asymptotic properties. Additionally, we study a special case, when the censoring mechanism follows the well-known Koziol-Green model. We present an extensive simulation study on the empirical power of these two versions of the test statistic, showing their ad- vantages over the widely used Pearson-type test. Finally, we apply our test to the head-and-neck cancer data.

  • Referencias bibliográficas
    • Akritas, M.G. (1988). Pearson-type goodness-of-fit test: the univariate case. Journal of the American Statistical Association, 83, 222–230.
    • Balakrishnan, N., Chimitova E. and Vedernikova, M. (2015). An empirical analysis of some nonparametric goodness-of-fit tests for censored...
    • Cuadras, C.M. and Fortiana, J. (1993). Continuous metric scaling and prediction. Multivariate Analysis, Future Directions, vol. 2 (eds. C.M....
    • Darling, D.A. (1957). The Kolmogorov-Smirnov, Cramer-von Mises tests. The Annals of Mathematical Statistics, 28, 823–838.
    • Fortiana, J. and Grané, A. (2003). Goodness-of-fit tests based on maximum correlations and their orthogonal decompositions. Journal of the...
    • Grané, A. (2012). Exact goodness-of-fit tests for censored data. Annals of the Institute of Statistical Mathematics, 64, 1187–1203.
    • Grané, A. and Tchirina, A. (2013). Asymptotic properties of a goodness-of-fit test based on maximum correlations. Statistics, 47, 202–215.
    • Kaplan, E.L. and Meier, P. (1958). Nonparametric estimation from incomplete observations. Journal of the American Statistical Association,...
    • Koziol, J.A. and Green S.B. (1976). A Cramer-von Mises statistic for randomly censored data. Biometrika, 63, 465–474.
    • Massey, Jr, F.J. (1951). The Kolmogorov-Smirnov test for goodness of fit. Journal of the American statistical Association, 46, 68–78.
    • Nikulin, M. and Haghighi, F. (2006). A chi-squared test for the generalized power Weibull family for the head-and-neck cancer censored data....
    • Novoa-Muñoz, F. and Jiménez-Gamero, M.D. (2016). A goodness-of-fit test for the multivariate Poisson distribution. SORT, 40, 1–26.
    • Rao, R.R. (1962). Relations between weak and uniform convergence of measures with applications. Annals of Mathematical Statistics, 33, 659–680.
    • Stute, W. and Wang, J.-L. (1993). The strong law under random censorship. Annals of Statistics, 21, 1591– 1607.
    • Stute, W. (1994). The bias of Kaplan-Meier integrals. Scandinavian Journal of Statistics, 21, 475–484.
    • Stute, W. (1995). The central limit theorem under random censorship. Annals of Statistics, 23, 422–439.
    • Torabi, H., Montazeri, N. H. and Grané, A. (2016). A test for normality based on the empirical distribution function. SORT, 40, 55–88.
    • Wellner, J.A. (2007). On an exponential bound for the Kaplan-Meier estimator. Lifetime Data Analysis, 13, 481–496.
    • Ying, Z. (1989). A note on the asymptotic properties of the product-limit estimator on the whole line. Statistics & Probability Letters,...
    • Zhou, M. (1991). Some properties of the Kaplan-Meier estimator for independent nonidentically distributed random variables. The Annals of...

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