On estimation of residual entropy function with length-biased data

Authors

  • RICHU RAJESH Department of Statistics, Govt. Victoria College, Palakkad, 678001, Kerala, India. Department of Statistics, Cochin University of Science and Technology, Cochin 682022, Kerala, India.
  • RAJESH G. Department of Statistics, Cochin University of Science and Technology, Cochin 682022, Kerala, India.
  • S. M. SUNOJ Department of Statistics, Cochin University of Science and Technology, Cochin 682022, Kerala, India.

Keywords:

Residual entropy, Length-bias, Poisson weight, Kernel estimation, Mean-squared error

Abstract

In this article, we investigate methods for estimating the residual entropy function of a length-biased sample. We show that the proposed estimators are strongly consistent and asymptotically normal under suitable regularity conditions. We also conduct simulations to evaluate the performance of the proposed estimation techniques and provide an example to show how these techniques can be applied to real data.

 

Journal of Statistical Research 2026, Vol. 60, No. 1, pp. 197-211.

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Published

2026-08-17

How to Cite

RAJESH, R. ., G., R. ., & SUNOJ, S. M. . (2026). On estimation of residual entropy function with length-biased data. Journal of Statistical Research , 60(1), 197-211. https://doi.org/10.3329/jsr.v60i1.92819

Issue

Vol. 60 No. 1 (2026)

Section

Articles

License

Copyright (c) 2026 Journal of Statistical Research

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

RAJESH, R. ., G., R. ., & SUNOJ, S. M. . (2026). On estimation of residual entropy function with length-biased data. Journal of Statistical Research , 60(1), 197-211. https://doi.org/10.3329/jsr.v60i1.92819