Rounded data analysis based on ranked set sample

Abstract

In this paper we investigate the Fisher information matrix of a rounded ranked set sampling (RSS) sample and show that the sample is always more informative than a rounded simple random sampling (SRS) sample of the same size. On the other hand, we propose a new method to approximate maximum likelihood estimates (MLE) of unknown parameters for this model and further establish the strong consistency and asymptotic normality of the proposed estimators. Simulation experiments show that the approximated MLE based on rounded RSS is always more efficient than those based on rounded SRS.

Some nonparametric tests of perfect judgment ranking for judgment post stratification

“…Stokes (1980), MacEachern et al (2002), Perron and Sinha (2004) and Zamanzade and Vock (2015) considered the problem of nonparametric estimation of variance. Ratio estimator for the population mean using ranked set sampling has been addressed by Kadilar et al (2009), andLi et al (2012) analysed rounded ranked set sample data.…”

Bias reduction when data are rounded

“…A future work is to extend these results to other types of samples. Li, SLiu and Bai () have considered rounded data analysis based on ranked set samples.…”