Information Generating Function of Ranked Set Samples

Omid Kharazmi; Mostafa Tamandi; Narayanaswamy Balakrishnan

doi:10.3390/e23111381

Entropy (Oct 2021)

Information Generating Function of Ranked Set Samples

Omid Kharazmi,
Mostafa Tamandi,
Narayanaswamy Balakrishnan

Affiliations

Omid Kharazmi: Department of Statistics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan P.O. Box 518, Iran
Mostafa Tamandi: Department of Statistics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan P.O. Box 518, Iran
Narayanaswamy Balakrishnan: Department of Mathematics and Statistics, McMaster University, Hamilton, ON L8S 4L8, Canada

DOI: https://doi.org/10.3390/e23111381
Journal volume & issue: Vol. 23, no. 11
p. 1381

Abstract

Read online

In the present paper, we study the information generating (IG) function and relative information generating (RIG) function measures associated with maximum and minimum ranked set sampling (RSS) schemes with unequal sizes. We also examine the IG measures for simple random sampling (SRS) and provide some comparison results between SRS and RSS procedures in terms of dispersive stochastic ordering. Finally, we discuss the RIG divergence measure between SRS and RSS frameworks.

Published in Entropy

ISSN: 1099-4300 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Astronomy: Astrophysics; Science: Physics
Website: http://www.mdpi.com/journal/entropy

About the journal

Abstract

Keywords