Ranked Set Sampling Measure of the Overlapping Coefficients for Two Rayleigh Distribution

• 발행기관: 한국자료분석학회
• 저자명: Soon-Jung Park Dong Hee Kim
• 간행물 정보: 『Journal of The Korean Data Analysis Society (JKDAS)』Vol.12 No.1, 83~92쪽, 전체 10쪽
• 주제분류: 자연과학 > 통계학
• 파일형태: PDF
• 발행일자: 2010.02.28

영문 초록

In this paper we deal with overlap(OVL) coefficients of two Rayleigh distributions, using ranked set sampling(RSS). As overlap coefficients, Matusita’s measure ρ, Morisita’s measure λ, Weitzman’s measure Δ are well known, and they measure the similarity, the agreement or the closeness of the two probability distributions. We define the overlap coefficients in Rayleigh distributions and compare asymptotic relative efficiencies(ARE) of them, using RSS relative to simple random sampling(SRS). As results of comparison, to use the RSS for estimation of three overlap coefficients is more efficient than to use the SRS. We estimate the OVL coefficients by Taylor series expansion and delta method. Later we wish to improve OVL coefficients under several sampling techniques and several distributions.

목차

1. Introduction

2. OVL Coefficients

3. Statistical Inference using RSS

4. Concluding Remarks

References

키워드

overlapping coefficient Rayleigh distribution efficiency