Varentropy Properties of Ranked Set Sample

By : Manoj Chacko, Varghese George

Page No: 13-34

Abstract
It is well known that the amount of information contained in a ranked set sample is larger than that contained in a simple random sample of same size. In this paper, varentropy properties of the ranked set sample are considered. The expression for varentropy of different modifications of ranked set sampling such as median ranked set sampling and moving extreme ranked set sampling are derived. The stochastic comparison of varentropy based on different modifications of ranked set samples are made. The upper bound and recurrence relation for varentropy are also presented. A dispersion index based on Kullback-Leibler divergence using ranked set sample is also discussed.

Authors :
Manoj Chacko : Department of Statistics, University of Kerala, Trivandrum, India 
Varghese George : St. Stephen's College, Pathanapuram, Kerala, India
 

DOI: https://doi.org/10.32381/IAPQRT.2025.49.01.2