Nonparametric Estimation of the Residual Entropy Function with Length-Biased Data

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
We propose a nonparametric estimator for the residual entropy function based on length-biased data. Some asymptotic results have been proved. The strong consistency and asymptotic normality of the proposed estimator are established under suitable regularity conditions. Monte Carlo simulation studies are carried out to evaluate the performance of the estimator using the bias and mean-squared error. A real data set is considered, and we show that the data follow a length-biased distribution. Moreover, the proposed estimator yields a better value for the estimated residual entropy in comparison to the competitor estimator.
Language:
English
Published:
Journal of Iranian Statistical Society, Volume:21 Issue: 1, Spring 2022
Pages:
1 to 18
https://www.magiran.com/p2642698  
سامانه نویسندگان
  • Vahid Fakoor
    Author (3)
    Associate Professor Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University, Mashhad, Iran
    Fakoor، Vahid
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