Truncated Midzuno-Sen sampling schemes for estimating distribution functions

Sarjinder Singh; Jong Min Kim; Hakjin Jang; Stephen Horn

doi:10.1080/03610918.2011.563006

Truncated Midzuno-Sen sampling schemes for estimating distribution functions

Sarjinder Singh, Jong Min Kim, Hakjin Jang, Stephen Horn

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

2 Scopus citations

Abstract

We consider a truncated Midzuno-Sen sampling scheme. The proposed method can be used to estimate the distribution function of a study variable assuming that the distribution function of an auxiliary variable is known. The ratio estimator for estimating the distribution function is shown to remain unbiased. We introduce the first- and second-order inclusion probabilities under the truncated Midzuno-Sen sampling scheme. Numerical examples are provided to support our theoretical results.

Original language	English (US)
Pages (from-to)	1096-1110
Number of pages	15
Journal	Communications in Statistics: Simulation and Computation
Volume	40
Issue number	7
DOIs	https://doi.org/10.1080/03610918.2011.563006
State	Published - Aug 2011

Keywords

Auxiliary information
Estimation of distribution function
Midzuno-Sen sampling scheme
Ratio type estimators

Access

10.1080/03610918.2011.563006

OpenUrl availability

Full text

Cite this

@article{4d3327b3bc4b4b499d5374f74acb6927,

title = "Truncated Midzuno-Sen sampling schemes for estimating distribution functions",

abstract = "We consider a truncated Midzuno-Sen sampling scheme. The proposed method can be used to estimate the distribution function of a study variable assuming that the distribution function of an auxiliary variable is known. The ratio estimator for estimating the distribution function is shown to remain unbiased. We introduce the first- and second-order inclusion probabilities under the truncated Midzuno-Sen sampling scheme. Numerical examples are provided to support our theoretical results.",

keywords = "Auxiliary information, Estimation of distribution function, Midzuno-Sen sampling scheme, Ratio type estimators",

author = "Sarjinder Singh and Kim, {Jong Min} and Hakjin Jang and Stephen Horn",

year = "2011",

month = aug,

doi = "10.1080/03610918.2011.563006",

language = "English (US)",

volume = "40",

pages = "1096--1110",

journal = "Communications in Statistics: Simulation and Computation",

issn = "0361-0918",

publisher = "Taylor and Francis Ltd.",

number = "7",

}

TY - JOUR

T1 - Truncated Midzuno-Sen sampling schemes for estimating distribution functions

AU - Singh, Sarjinder

AU - Kim, Jong Min

AU - Jang, Hakjin

AU - Horn, Stephen

PY - 2011/8

Y1 - 2011/8

N2 - We consider a truncated Midzuno-Sen sampling scheme. The proposed method can be used to estimate the distribution function of a study variable assuming that the distribution function of an auxiliary variable is known. The ratio estimator for estimating the distribution function is shown to remain unbiased. We introduce the first- and second-order inclusion probabilities under the truncated Midzuno-Sen sampling scheme. Numerical examples are provided to support our theoretical results.

AB - We consider a truncated Midzuno-Sen sampling scheme. The proposed method can be used to estimate the distribution function of a study variable assuming that the distribution function of an auxiliary variable is known. The ratio estimator for estimating the distribution function is shown to remain unbiased. We introduce the first- and second-order inclusion probabilities under the truncated Midzuno-Sen sampling scheme. Numerical examples are provided to support our theoretical results.

KW - Auxiliary information

KW - Estimation of distribution function

KW - Midzuno-Sen sampling scheme

KW - Ratio type estimators

UR - http://www.scopus.com/inward/record.url?scp=79956077201&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79956077201&partnerID=8YFLogxK

U2 - 10.1080/03610918.2011.563006

DO - 10.1080/03610918.2011.563006

M3 - Article

AN - SCOPUS:79956077201

SN - 0361-0918

VL - 40

SP - 1096

EP - 1110

JO - Communications in Statistics: Simulation and Computation

JF - Communications in Statistics: Simulation and Computation

IS - 7

ER -

Truncated Midzuno-Sen sampling schemes for estimating distribution functions

Abstract

Keywords

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this