Journal of Statistical Theory and Applications

Volume 19, Issue 4, December 2020, Pages 534 - 539

An Unbiased Estimator of Finite Population Mean Using Auxiliary Information

Authors
B. Mahanty1, *, ORCID, G. Mishra2
1P.G. Department of Statistics, Utkal University, Bhubaneswar-751004, India
2P.G. Department of Statistics, Utkal University, Bhubaneswar-751004, India
*Corresponding author. Email: bulu.mahanty@gmail.com
Corresponding Author
B. Mahanty
Received 20 July 2020, Accepted 25 December 2020, Available Online 4 January 2021.
DOI
10.2991/jsta.d.201228.001How to use a DOI?
Keywords
Simple random sampling; Auxiliary variable; Unbiased estimator; Optimality; Efficiency
Abstract

In this paper, an unbiased estimator is constructed by using a linear combination of an estimator of study variable and mean per unit estimator of an auxiliary variable under simple random sampling without replacement scheme. The efficiency of the estimator under optimality compared with the mean per unit estimator, an almost unbiased ratio estimator, an unbiased product estimator, and a regression estimator both theoretically and with the numerical illustration.

Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
19 - 4
Pages
534 - 539
Publication Date
2021/01/04
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.201228.001How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - B. Mahanty
AU  - G. Mishra
PY  - 2021
DA  - 2021/01/04
TI  - An Unbiased Estimator of Finite Population Mean Using Auxiliary Information
JO  - Journal of Statistical Theory and Applications
SP  - 534
EP  - 539
VL  - 19
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.201228.001
DO  - 10.2991/jsta.d.201228.001
ID  - Mahanty2021
ER  -