Concomitant record ranked set sampling

Jerin Paul, P. Yageen Thomas

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this work, we define a new method of ranked set sampling (RSS) which is suitable when the characteristic (variable) Y of primary interest on the units is jointly distributed with an auxiliary characteristic X on which one can take its measurement on any number of units, so that units having record values on X alone are ranked and retained for making measurement on Y. We name this RSS as concomitant record ranked set sampling (CRRSS). We propose estimators of the parameters associated with the variable Y of primary interest based on observations of the proposed CRRSS which are applicable to a very large class of distributions viz. Morgenstern family of distributions. We illustrate the application of CRRSS and our estimation technique of parameters, when the basic distribution is Morgenstern-type bivariate logistic distribution. A primary data collected by CRRSS method is demonstrated and the obtained data used to illustrate the results developed in this work.

Original languageEnglish
Pages (from-to)9518-9540
Number of pages23
JournalCommunications in Statistics - Theory and Methods
Volume46
Issue number19
DOIs
Publication statusPublished - 02-10-2017

Fingerprint

Ranked Set Sampling
Unit
Logistics/distribution
Record Values
Bivariate Distribution
Sampling Methods
Estimator

All Science Journal Classification (ASJC) codes

  • Statistics and Probability

Cite this

Paul, Jerin ; Thomas, P. Yageen. / Concomitant record ranked set sampling. In: Communications in Statistics - Theory and Methods. 2017 ; Vol. 46, No. 19. pp. 9518-9540.
@article{86e1548850524ad9b0087103a0ab7cd5,
title = "Concomitant record ranked set sampling",
abstract = "In this work, we define a new method of ranked set sampling (RSS) which is suitable when the characteristic (variable) Y of primary interest on the units is jointly distributed with an auxiliary characteristic X on which one can take its measurement on any number of units, so that units having record values on X alone are ranked and retained for making measurement on Y. We name this RSS as concomitant record ranked set sampling (CRRSS). We propose estimators of the parameters associated with the variable Y of primary interest based on observations of the proposed CRRSS which are applicable to a very large class of distributions viz. Morgenstern family of distributions. We illustrate the application of CRRSS and our estimation technique of parameters, when the basic distribution is Morgenstern-type bivariate logistic distribution. A primary data collected by CRRSS method is demonstrated and the obtained data used to illustrate the results developed in this work.",
author = "Jerin Paul and Thomas, {P. Yageen}",
year = "2017",
month = "10",
day = "2",
doi = "10.1080/03610926.2016.1213286",
language = "English",
volume = "46",
pages = "9518--9540",
journal = "Communications in Statistics - Theory and Methods",
issn = "0361-0926",
publisher = "Taylor and Francis Ltd.",
number = "19",

}

Concomitant record ranked set sampling. / Paul, Jerin; Thomas, P. Yageen.

In: Communications in Statistics - Theory and Methods, Vol. 46, No. 19, 02.10.2017, p. 9518-9540.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Concomitant record ranked set sampling

AU - Paul, Jerin

AU - Thomas, P. Yageen

PY - 2017/10/2

Y1 - 2017/10/2

N2 - In this work, we define a new method of ranked set sampling (RSS) which is suitable when the characteristic (variable) Y of primary interest on the units is jointly distributed with an auxiliary characteristic X on which one can take its measurement on any number of units, so that units having record values on X alone are ranked and retained for making measurement on Y. We name this RSS as concomitant record ranked set sampling (CRRSS). We propose estimators of the parameters associated with the variable Y of primary interest based on observations of the proposed CRRSS which are applicable to a very large class of distributions viz. Morgenstern family of distributions. We illustrate the application of CRRSS and our estimation technique of parameters, when the basic distribution is Morgenstern-type bivariate logistic distribution. A primary data collected by CRRSS method is demonstrated and the obtained data used to illustrate the results developed in this work.

AB - In this work, we define a new method of ranked set sampling (RSS) which is suitable when the characteristic (variable) Y of primary interest on the units is jointly distributed with an auxiliary characteristic X on which one can take its measurement on any number of units, so that units having record values on X alone are ranked and retained for making measurement on Y. We name this RSS as concomitant record ranked set sampling (CRRSS). We propose estimators of the parameters associated with the variable Y of primary interest based on observations of the proposed CRRSS which are applicable to a very large class of distributions viz. Morgenstern family of distributions. We illustrate the application of CRRSS and our estimation technique of parameters, when the basic distribution is Morgenstern-type bivariate logistic distribution. A primary data collected by CRRSS method is demonstrated and the obtained data used to illustrate the results developed in this work.

UR - http://www.scopus.com/inward/record.url?scp=85020717081&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85020717081&partnerID=8YFLogxK

U2 - 10.1080/03610926.2016.1213286

DO - 10.1080/03610926.2016.1213286

M3 - Article

VL - 46

SP - 9518

EP - 9540

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

SN - 0361-0926

IS - 19

ER -