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Estimation for the extreme value distribution under progressive Type-I interval censoring

  • Nam, Sol-Ji (Department of Statistics, Yeungnam University) ;
  • Kang, Suk-Bok (Department of Statistics, Yeungnam University)
  • Received : 2014.03.08
  • Accepted : 2014.04.14
  • Published : 2014.05.31

Abstract

In this paper, we propose some estimators for the extreme value distribution based on the interval method and mid-point approximation method from the progressive Type-I interval censored sample. Because log-likelihood function is a non-linear function, we use a Taylor series expansion to derive approximate likelihood equations. We compare the proposed estimators in terms of the mean squared error by using the Monte Carlo simulation.

Keywords

References

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  2. Nonpararmetric estimation for interval censored competing risk data vol.28, pp.4, 2014, https://doi.org/10.7465/jkdi.2017.28.4.947