Journal of Statistical Theory and Applications

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Volume 18, Issue 4, December 2019, Pages 416 - 424

Generalized Exponential Estimator for the Estimation of Clustered Population Variance in Adaptive Cluster Sampling

Authors
Muhammad Nouman Qureshi1, 3, *, Ayesha Iftikhar2, 3, Muhammad Hanif3
1School of Statistics, University of Minnesota, Minneapolis, 55455, USA
2Lahore Business School, University of Lahore, Lahore, 54000, Pakistan
3Department of Statistics, National College of Business Administration and Economics, Lahore, 54000, Pakistan
*Corresponding author. Email: queri006@umn.edu
Corresponding Author
Muhammad Nouman Qureshi
Received 2 December 2018, Accepted 28 October 2019, Available Online 9 December 2019.
DOI
10.2991/jsta.d.191204.001How to use a DOI?
Keywords
Adaptive cluster sampling; Auxiliary information; Exponential estimators; Hansen-Hurwitz estimation; Simulated population and Poisson clustered process
Abstract

In this paper, we proposed a generalized exponential estimator with two auxiliary variables for the estimation of highly clumped population variance under adaptive cluster sampling design. The expressions of approximate bias and minimum mean square error are derived. A family of exponential ratio and exponential product estimator is obtained by using different values of generalized and optimized constants. A numerical study is carried out on real and artificial populations to examine the performance of the proposed estimator over the competing estimators. Related results show that the proposed generalized exponential estimator is able to provide considerably better results over the competing estimators for the estimation of rare and highly clustered population variance.

Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
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
18 - 4
Pages
416 - 424
Publication Date
2019/12/09
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.191204.001How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
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

risenwbib
TY  - JOUR
AU  - Muhammad Nouman Qureshi
AU  - Ayesha Iftikhar
AU  - Muhammad Hanif
PY  - 2019
DA  - 2019/12/09
TI  - Generalized Exponential Estimator for the Estimation of Clustered Population Variance in Adaptive Cluster Sampling
JO  - Journal of Statistical Theory and Applications
SP  - 416
EP  - 424
VL  - 18
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.191204.001
DO  - 10.2991/jsta.d.191204.001
ID  - Qureshi2019
ER  -