Extropy information of maximum and minimum ranked set sampling with unequal samples

Abstract

Maximum ranked set sampling with unequal samples and minimum ranked set sampling with unequal samples procedures are two very useful modifications of ranked set sampling procedure. They allow for an increase in set size without introducing too many ranking errors. In this paper, we consider information content of minimum and maximum ranked set sampling with unequal samples in terms of extropy. We also compare the extropy of these two sampling data with that of simple random sampling and ranked set sampling data. Finally, we study the discrimination information among simple random sampling, ranked set sampling, minimum and maximum ranked set sampling with unequal samples data.

Keywords:

• Extropy
• maximum and minimum ranked set sampling with unequal samples
• order statistics
• simple random sampling
• stochastic orders

Mathematics Subject Classifications (2000):

• Primary: 62B10
• Secondary: 62D05

Acknowledgments

The authors would like to thank two anonymous referees and the associate editor for their useful comments and constructive criticisms on the original version of this manuscript which led to this considerably improved version.

Additional information

Funding

This work was supported by the National Nature Science Foundation of China (71871208, 71971204), the Anhui Provincial Natural Science Foundation (1908085MG236), and the Key Program Foundation from the Education Department of Anhui Province (KJ2018A0590, 2017jxtd046).