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Composite-Type Estimator of the Coefficient of Variation under SRSWOR

Rina Shah1 , P. A. Patel2

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.1 , pp.57-63, Feb-2020


Online published on Feb 28, 2020


Copyright © Rina Shah, P. A. Patel . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: Rina Shah, P. A. Patel, “Composite-Type Estimator of the Coefficient of Variation under SRSWOR,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.1, pp.57-63, 2020.

MLA Style Citation: Rina Shah, P. A. Patel "Composite-Type Estimator of the Coefficient of Variation under SRSWOR." International Journal of Scientific Research in Mathematical and Statistical Sciences 7.1 (2020): 57-63.

APA Style Citation: Rina Shah, P. A. Patel, (2020). Composite-Type Estimator of the Coefficient of Variation under SRSWOR. International Journal of Scientific Research in Mathematical and Statistical Sciences, 7(1), 57-63.

BibTex Style Citation:
@article{Shah_2020,
author = {Rina Shah, P. A. Patel},
title = {Composite-Type Estimator of the Coefficient of Variation under SRSWOR},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2020},
volume = {7},
Issue = {1},
month = {2},
year = {2020},
issn = {2347-2693},
pages = {57-63},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1743},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1743
TI - Composite-Type Estimator of the Coefficient of Variation under SRSWOR
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Rina Shah, P. A. Patel
PY - 2020
DA - 2020/02/28
PB - IJCSE, Indore, INDIA
SP - 57-63
IS - 1
VL - 7
SN - 2347-2693
ER -

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Abstract :
In this article we address the problem of estimating the coefficient of variation (cv) of a finite population using two auxiliary variables. Estimation of the cv, a measure of variability, is one of the important parameters and the real use of its estimate would be in determining a sample size for a future study. The regression and composite-type estimators of the coefficient of variation are suggested and their performances are compared with the estimators available in the literature empirical study. Also, a small scale Monte Carlo simulation is carried out to support the findings. Among the estimators considered under study, the suggested estimators have performed very well.

Key-Words / Index Term :
Auxiliary variable, coefficient of variation, finite population, simulation, SRSWOR

References :
[1] Das, A. K. and Tripathi, T.P. “Sampling strategies for coefficient of variation using knowledge of the mean using an auxiliary character.” Tech.Rep.Stat.Math.5/81.ISI, Calcutta, 1981 a.
[2] Das, A. K. and Tripathi, T.P. “A class of estimators for coefficient of variation using knowledge on coefficient of variation of an auxiliary character.” Paper presented at 35th annual conference of Ind. Soc. Agricultural Statistics. Held on New Delhi, India. 1981 b.
[3] Rajyaguru, A. and Gupta, P. “On the estimation of the coefficient of variation from finite population-II.” Model Assisted Statistics and Application, Vol.36, Issue.2, pp.145-156, 2002.
[4] Rajyaguru, A. and Gupta, P., “On the estimation of the coefficient of variation from finite population- II.” Model Assisted Statistics and Application, Vol.1, Issue.1, pp. 57-66, 2006.
[5] Tripathi, T.P. Singh, H.P. and Upadhyay, L.N. A general method of estimation and its application to the estimation of coefficient of variation. Statistics in Transition, Vol.5, Issue.6, pp. 887-909, 2002.
[6] Patel, P.A. and Shah, Rina, “A Monte Carlo comparison of some suggested estimators of coefficient of variation in finite population.” Journal of Statistics sciences, Vol.1, Issue.2, pp.137- 147, 2009.
[7] Archana, V and Rao, K. A. “Ratio estimators for the coefficient of variation in a finite population”. Pak.j.stat.oper.res. Vol.VII No.2 pp.265-28, 2011
[8] Kadilar, C. and Cingi, H. “A new ratio estimator using two auxiliary variables”. Applied Mathematics and Computation.” Vol.162, pp. 901-908, 2005.
[9] Murthy, M. N., Sampling Theory and Methods, Calcutta: Statistical Publishing Society, 1967

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