An Unbiased Estimator of Finite Population Mean Using Auxiliary Information

Authors

B. Mahanty^{1, *,} , 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

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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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  -