Abstract
In this paper, a log type calibration estimator for estimating the population mean in stratified random sampling has been proposed utilizing the available auxiliary information. This estimator has also been extended in case of double stratified sampling when mean of the auxiliary information is not known. The simulation study has been carried out using R software on real as well as artificial datasets. The empirical as well as bootstrap estimates of the percentage relative root mean squared error (%RRMSE) have been computed for real as well as artificial datasets. These suggested calibration estimators have been compared with the estimators given by Singh (Golden jubilee year 2003 of the linear regression estimator, 2003a) and Tracy et al. (Surv Methodol 29(1): 99–104, 2003).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Clement EP, Enang EI (2017) On the efficiency of ratio estimator over the regression estimator. Commun Stat Theory Method 46(11):5357–5367
Deville JC, Sarndal CE (1992) Calibration estimators in survey sampling. J Am Stat Assoc 87(418):376–382
Garg N, Pachori M (2019) Calibration estimation of population mean in stratified sampling using coefficient of skewness. Int J Agric Statist Sci 15(1):211–219
Garg N, Pachori M (2020) Use of coefficient of variation in calibration estimation of population mean in stratified sampling. Commun Statist Theory Methods 49(23):5842–5852. https://doi.org/10.1080/03610926.2019.1622729
Kim J-M, Sungur EA, Heo T-Y (2007) Calibration approach estimators in stratified sampling. Statist Probab Lett 77:99–103
Koyuncu N, Kadilar C (2013) Calibration estimator using different distance measures in stratified random sampling. Int J Mod Eng Res 3(1):415–419
Koyuncu N, Kadilar C (2016) Calibration weighting in stratified random sampling. Commun Statist Simul Comput 45(7):2267–2275
Mouhamed AM, EI-sheikh AA, Mohamed HA (2015) A new calibration estimator of stratified random sampling. Appl Math Sci 9(35):1735–1744
Sarndal CE, Swensson B, Wretman J (2003) Model assisted survey sampling. Springer, New York
Singh S, Arnab R (2011) On calibration of design weights. METRON Int J Statist 69(2):185–205. https://doi.org/10.1007/BF03263556
Singh S, Horn S, Yu F (1998) Estimation of variance of the general regression estimator: higher level calibration approach. Surv Methodol 24(1):41–50
Singh S (2003a) Golden jubilee year 2003a of the linear regression estimator. Working paper at St. Cloud State University, St. Cloud, MN, USA.
Singh S (2003b) Advanced Sampling Theory with Applications: How Michael ‘Selected’ Army (Vol. 1 and 2). Springer Science & Business Media.
Tracy DS, Singh S, Arnab R (2003) Note on calibration in stratified and double sampling. Surv Methodol 29(1):99–104
Acknowledgements
The authors are very much thankful to the anonymous reviewers for their valuable suggestions that led to the improvement of the manuscript.
Funding
There is no funding regarding this manuscript.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
There is no conflict of interest regarding this manuscript.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Garg, N., Pachori, M. Log Type Calibration Estimator of Population Mean in Stratified Sampling. J Indian Soc Probab Stat 23, 19–45 (2022). https://doi.org/10.1007/s41096-022-00123-8
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s41096-022-00123-8