On the quest of optimal class of estimators using ranked set sampling

Document Type : Article


1 University of Lucknow, Lucknow, India

2 Department of Mathematics and Statistics, Dr. Shakuntala Misra National Rehabilitation University, Lucknow, India


The present paper acquaints some optimal class of estimators of population mean utilizing information on an auxiliary variable in ranked set sampling methodology. The effectiveness of acquainted estimators is studied regarding the estimators suggested by Samawi and Muttlak (1996), Yu and Lam (1997), Kadilar et al. (2009), Singh and Solanki (2013 a, b), Singh et al. (2014), Solanki and Singh (2016), Mehta and Mandowara (2016), Saini and Kumar (2016), Mehta et al. (2020) and Bhushan and Kumar (2022) which cover most of the familiar estimators. The optimality conditions have been established and followed up by a simulation study as well as a real data application and the results are constituted a rather satisfactory showing advancement over the all prominent estimators discussed in this article.