On Distribution Function Estimation Using Double Ranked Set Samples With Application

Walid A. Abu-Dayyeh; Hani Samawi; Lara A. Bani-Hani

doi:10.22237/jmasm/1036110420

On Distribution Function Estimation Using Double Ranked Set Samples With Application

Walid A. Abu-Dayyeh, Hani Samawi, Lara A. Bani-Hani

Biostatistics, Epidemiology & Environmental Health Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

1 Downloads (Pure)

Abstract

As a variation of ranked set sampling (RSS); double ranked set sampling (DRSS) was introduced by Al-Saleh and Al-Kadiri (2000), and it has been used only for estimating the mean of the population. In this paper DRSS will be used for estimating the distribution function (cdf). The efficiency of the proposed estimators will be obtained when ranking is perfect. Some inference on the distribution function will be drawn based on Kolomgrov-Smirnov statistic. It will be shown that using DRSS will increase the efficiency in this case.

Original language	American English
Journal	Journal of Modern Applied Statistical Methods
DOIs	https://doi.org/10.22237/jmasm/1036110420
State	Published - Nov 1 2002

Disciplines

Applied Statistics
Statistical Theory
Social and Behavioral Sciences

Keywords

Double ranked set sample
Kolomgrov-Smirnov
distribution function estimation
ranked set

Access to Document

10.22237/jmasm/1036110420License: Unspecified

On Distribution Function Estimation Using Double Ranked Set SamplFinal published version, 240 KBLicense: Unspecified

Cite this

@article{fed79755bcab4875aa2c286eb8c6d984,

title = "On Distribution Function Estimation Using Double Ranked Set Samples With Application",

abstract = "As a variation of ranked set sampling (RSS); double ranked set sampling (DRSS) was introduced by Al-Saleh and Al-Kadiri (2000), and it has been used only for estimating the mean of the population. In this paper DRSS will be used for estimating the distribution function (cdf). The efficiency of the proposed estimators will be obtained when ranking is perfect. Some inference on the distribution function will be drawn based on Kolomgrov-Smirnov statistic. It will be shown that using DRSS will increase the efficiency in this case.",

keywords = "Double ranked set sample, Kolomgrov-Smirnov, distribution function estimation, ranked set",

author = "Abu-Dayyeh, {Walid A.} and Hani Samawi and Bani-Hani, {Lara A.}",

year = "2002",

month = nov,

day = "1",

doi = "10.22237/jmasm/1036110420",

language = "American English",

journal = "Journal of Modern Applied Statistical Methods",

issn = "1538-9472",

publisher = "Wayne State University",

}

TY - JOUR

T1 - On Distribution Function Estimation Using Double Ranked Set Samples With Application

AU - Abu-Dayyeh, Walid A.

AU - Samawi, Hani

AU - Bani-Hani, Lara A.

PY - 2002/11/1

Y1 - 2002/11/1

N2 - As a variation of ranked set sampling (RSS); double ranked set sampling (DRSS) was introduced by Al-Saleh and Al-Kadiri (2000), and it has been used only for estimating the mean of the population. In this paper DRSS will be used for estimating the distribution function (cdf). The efficiency of the proposed estimators will be obtained when ranking is perfect. Some inference on the distribution function will be drawn based on Kolomgrov-Smirnov statistic. It will be shown that using DRSS will increase the efficiency in this case.

AB - As a variation of ranked set sampling (RSS); double ranked set sampling (DRSS) was introduced by Al-Saleh and Al-Kadiri (2000), and it has been used only for estimating the mean of the population. In this paper DRSS will be used for estimating the distribution function (cdf). The efficiency of the proposed estimators will be obtained when ranking is perfect. Some inference on the distribution function will be drawn based on Kolomgrov-Smirnov statistic. It will be shown that using DRSS will increase the efficiency in this case.

KW - Double ranked set sample

KW - Kolomgrov-Smirnov

KW - distribution function estimation

KW - ranked set

UR - https://digitalcommons.wayne.edu/jmasm/vol1/iss2/53

U2 - 10.22237/jmasm/1036110420

DO - 10.22237/jmasm/1036110420

M3 - Article

SN - 1538-9472

JO - Journal of Modern Applied Statistical Methods

JF - Journal of Modern Applied Statistical Methods

ER -

On Distribution Function Estimation Using Double Ranked Set Samples With Application

Abstract

Disciplines

Keywords

Access to Document

Other files and links

Fingerprint

Cite this