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Goodness-of-fit test under length-biased sampling

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  • S. M. A. Jahanshahi
  • A. Habibi Rad
  • V. Fakoor

Abstract

In this article, we study a goodness-of-fit (GOF) test in the presence of length-biased sampling. For this purpose, we introduce a smoothed estimator of distribution function (d.f.) and we investigate its asymptotic behaviors, such as uniform consistency and asymptotic normality. Based on this estimator, we define a one-sample Kolmogorov type of GOF test for length-biased data. We conduct Monte Carlo simulations to evaluate the performance of the proposed test statistic and compare it with the one-sample Kolmogorov type of GOF test obtained by the non smoothed estimator of d.f.

Suggested Citation

  • S. M. A. Jahanshahi & A. Habibi Rad & V. Fakoor, 2017. "Goodness-of-fit test under length-biased sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(15), pages 7580-7592, August.
  • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:15:p:7580-7592
    DOI: 10.1080/03610926.2016.1157187
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