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Exact goodness-of-fit tests for censored data

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  • Aurea Grané

Abstract

The statistic introduced in Fortiana and Grané (J R Stat Soc B 65(1):115–126, 2003 ) is modified so that it can be used to test the goodness-of-fit of a censored sample, when the distribution function is fully specified. Exact and asymptotic distributions of three modified versions of this statistic are obtained and exact critical values are given for different sample sizes. Empirical power studies show the good performance of these statistics in detecting symmetrical alternatives. Copyright The Institute of Statistical Mathematics, Tokyo 2012

Suggested Citation

  • Aurea Grané, 2012. "Exact goodness-of-fit tests for censored data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(6), pages 1187-1203, December.
    • Handle: RePEc:spr:aistmt:v:64:y:2012:i:6:p:1187-1203
    DOI: 10.1007/s10463-012-0356-y
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    References listed on IDEAS

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    1. T. Ramallingam, 1989. "Symbolic computing the exact distributions of L-statistics from a uniform distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 41(4), pages 677-681, December.
    2. Nader Ebrahimi, 2001. "Testing for Uniformity of the Residual Life Time Based on Dynamic Kullback-Leibler Information," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(2), pages 325-337, June.
    3. J. Fortiana & A. Grané, 2003. "Goodness‐of‐fit tests based on maximum correlations and their orthogonal decompositions," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 65(1), pages 115-126, February.
    4. Jonggun Lim & Sangun Park, 2007. "Censored Kullback-Leibler Information and Goodness-of-Fit Test with Type II Censored Data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 34(9), pages 1051-1064.
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