Background
Type: Conference Paper

Efficiency of Ranked Set Sampling Design in Goodness of Fit Tests for Cauchy Distribution

Journal: Springer Proceedings in Mathematics and Statistics (21941009)Year: 2022/01/01Volume: 380Issue: Pages: 53 - 64
Zamanzade E.a Mahdizadeh M.
a :University of Isfahan - IRAN(IR) - Isfahan
DOI:10.1007/978-981-16-7932-2_4Language: English

Abstract

In this work, we describe some goodness of fit tests for Cauchy distribution using ranked set sampling (RSS) design. The powers of the developed tests in RSS are compared with their counterparts in simple random sampling (SRS) for both perfect and imperfect ranking cases. It is found that the test based on Kullback–Leibler distance is much more powerful than its competitors in most of the cases considered. It also controls type I error well in the case of imperfect ranking. © 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.