Dr. Kaushik Ghosh (University of Nevada Las Vegas)

Title: A Unified Approach to Variations of Ranked Set Sampling

Abstract:In this talk, we develop a general theory of inference using data collected from different variations of ranked set sampling. Such variations include balanced and unbalanced ranked set sampling, balanced and unbalanced k-tuple ranked set sampling, nomination sampling, simple random sampling, as well as a combination of them. We provide methods of estimating the underlying distribution function as well as its functionals and establish the asymptotic properties of the resulting estimators. The results so obtained can be used to develop nonparametric procedures for one- and two-sample problems. We also investigate small-sample properties of these estimators and conclude with an application.