A Difference Type Estimator for Estimating Population Variance with Possible Applications to Random Stock and Dividend Growth

Rajesh Singh; Viplav Kumar Singh; Mohd Khoshnevisan

doi:doi:10.11648/j.ajam.20140203.14

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A Difference Type Estimator for Estimating Population Variance with Possible Applications to Random Stock and Dividend Growth

Rajesh Singh, Viplav Kumar Singh, Mohd Khoshnevisan

Published in American Journal of Applied Mathematics (Volume 2, Issue 3)

Received: 8 June 2014 Accepted: 19 June 2014 Published: 30 June 2014

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Abstract

In this paper we have suggested a difference type estimator for estimating the unknown population variance of the study variable y using auxiliary information. The optimum estimator in the suggested method has been identified along with its mean square error formula and it is seen that the suggested estimator performs better than other existing estimators. An empirical study is carried out to judge the merits of proposed estimator over other traditional estimators.

Published in	American Journal of Applied Mathematics (Volume 2, Issue 3)
DOI	10.11648/j.ajam.20140203.14
Page(s)	92-95
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Study Variable, Auxiliary Variable, Mean Square Error, Bias, Simple Random Sampling

References

[1]	AA.Ceberian and R.M Garcia(1997) .Variance estimation using auxiliary information ; an almost multivariate ratio estimator,metrika,vol45,pp.171-178.
[2]	Grover, L. K . (2010): A correction note on improvement in variance estimation using auxiliary information. Commun. Stat. Theo. Meth. 39:753–764.
[3]	Isaki, C.T.(1983): Variance estimation using auxiliary information. Journal of American Statistical Association 78, 117–123.
[4]	Jhajj, H .S., Sharma, M. K. and Grover, L. K. (2005) : An efficient class of chain estimators of population variance under sub-sampling scheme. J. Japan Stat. Soc., 35(2), 273-286.
[5]	Kadilar, C. and Cingi, H. (2006): Improvement in variance estimation using auxiliary information. Hacettepe Journal of Mathe-matics and Statistics 35 (1), 111–115.
[6]	Singh, R.,Cauhan, P., Sawan, N. and Smarandache,F. (2007): Auxiliary information and a priori values in construction of improved estimators. Renais-sance High press.
[7]	Singh, H.P. and Singh, R. (2001): Improved ratio-type estimator for va-riance using auxiliary information. J Indian Soc Agric Stat 54(3):276–287.
[8]	Singh,H.P. and Singh, R. (2003): Estimation of variance through regression approach in two phase sampling. Ali-garh Journal of Statistics, 23, 13-30.
[9]	Singh, H. P. and Solanki, R.S. (2012): A new procedure for variance estimation in simple random sampling using auxiliary information. Stat. Paps. DOI 10.1007/s00362-012-0445-2.
[10]	Singh, R., Chauhan, P., Sawan, N. and Smarandache,F.(2008): Almost unbiased ratio and product type estimator of finite population variance using the knowledge of kurtosis of an auxiliary variable in sample surveys. Octogon Mathematical Journal, Vol. 16, No. 1, 123-130.
[11]	Singh, R., Chauhan, P., Sawan, N. and Smarandache, F.(2011): Improved exponential estimator for population variance using two auxiliary variables. Italian Jour. Of Pure and Appld. Math., 28, 103-110.
[12]	Singh, R. and Malik, S. (2014) : Improved estimator of population variance using information on auxiliary attribute in simple random sampling. Appl. Math. Comp., 235, 43-49.

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APA Style

Rajesh Singh, Viplav Kumar Singh, Mohd Khoshnevisan. (2014). A Difference Type Estimator for Estimating Population Variance with Possible Applications to Random Stock and Dividend Growth. American Journal of Applied Mathematics, 2(3), 92-95. https://doi.org/10.11648/j.ajam.20140203.14

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ACS Style

Rajesh Singh; Viplav Kumar Singh; Mohd Khoshnevisan. A Difference Type Estimator for Estimating Population Variance with Possible Applications to Random Stock and Dividend Growth. Am. J. Appl. Math. 2014, 2(3), 92-95. doi: 10.11648/j.ajam.20140203.14

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AMA Style

Rajesh Singh, Viplav Kumar Singh, Mohd Khoshnevisan. A Difference Type Estimator for Estimating Population Variance with Possible Applications to Random Stock and Dividend Growth. Am J Appl Math. 2014;2(3):92-95. doi: 10.11648/j.ajam.20140203.14

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@article{10.11648/j.ajam.20140203.14,
  author = {Rajesh Singh and Viplav Kumar Singh and Mohd Khoshnevisan},
  title = {A Difference Type Estimator for Estimating Population Variance with Possible Applications to Random Stock and Dividend Growth},
  journal = {American Journal of Applied Mathematics},
  volume = {2},
  number = {3},
  pages = {92-95},
  doi = {10.11648/j.ajam.20140203.14},
  url = {https://doi.org/10.11648/j.ajam.20140203.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140203.14},
  abstract = {In this paper we have suggested a difference type estimator for estimating the unknown population variance of the study variable y using auxiliary information. The optimum estimator in the suggested method has been identified along with its mean square error formula and it is seen that the suggested estimator performs better than other existing estimators. An empirical study is carried out to judge the merits of proposed estimator over other traditional estimators.},
 year = {2014}
}

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TY  - JOUR
T1  - A Difference Type Estimator for Estimating Population Variance with Possible Applications to Random Stock and Dividend Growth
AU  - Rajesh Singh
AU  - Viplav Kumar Singh
AU  - Mohd Khoshnevisan
Y1  - 2014/06/30
PY  - 2014
N1  - https://doi.org/10.11648/j.ajam.20140203.14
DO  - 10.11648/j.ajam.20140203.14
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
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EP  - 95
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20140203.14
AB  - In this paper we have suggested a difference type estimator for estimating the unknown population variance of the study variable y using auxiliary information. The optimum estimator in the suggested method has been identified along with its mean square error formula and it is seen that the suggested estimator performs better than other existing estimators. An empirical study is carried out to judge the merits of proposed estimator over other traditional estimators.
VL  - 2
IS  - 3
ER  -

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Author Information

Rajesh Singh

Department of Statistics, BHU, Varanasi, India
Viplav Kumar Singh

Department of Statistics, BHU, Varanasi, India
Mohd Khoshnevisan

Associate Professor of Finance, Ajman University of Science and Technology, UAE

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APA Style

Rajesh Singh, Viplav Kumar Singh, Mohd Khoshnevisan. (2014). A Difference Type Estimator for Estimating Population Variance with Possible Applications to Random Stock and Dividend Growth. American Journal of Applied Mathematics, 2(3), 92-95. https://doi.org/10.11648/j.ajam.20140203.14

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ACS Style

Rajesh Singh; Viplav Kumar Singh; Mohd Khoshnevisan. A Difference Type Estimator for Estimating Population Variance with Possible Applications to Random Stock and Dividend Growth. Am. J. Appl. Math. 2014, 2(3), 92-95. doi: 10.11648/j.ajam.20140203.14

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AMA Style

Rajesh Singh, Viplav Kumar Singh, Mohd Khoshnevisan. A Difference Type Estimator for Estimating Population Variance with Possible Applications to Random Stock and Dividend Growth. Am J Appl Math. 2014;2(3):92-95. doi: 10.11648/j.ajam.20140203.14

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@article{10.11648/j.ajam.20140203.14,
  author = {Rajesh Singh and Viplav Kumar Singh and Mohd Khoshnevisan},
  title = {A Difference Type Estimator for Estimating Population Variance with Possible Applications to Random Stock and Dividend Growth},
  journal = {American Journal of Applied Mathematics},
  volume = {2},
  number = {3},
  pages = {92-95},
  doi = {10.11648/j.ajam.20140203.14},
  url = {https://doi.org/10.11648/j.ajam.20140203.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140203.14},
  abstract = {In this paper we have suggested a difference type estimator for estimating the unknown population variance of the study variable y using auxiliary information. The optimum estimator in the suggested method has been identified along with its mean square error formula and it is seen that the suggested estimator performs better than other existing estimators. An empirical study is carried out to judge the merits of proposed estimator over other traditional estimators.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - A Difference Type Estimator for Estimating Population Variance with Possible Applications to Random Stock and Dividend Growth
AU  - Rajesh Singh
AU  - Viplav Kumar Singh
AU  - Mohd Khoshnevisan
Y1  - 2014/06/30
PY  - 2014
N1  - https://doi.org/10.11648/j.ajam.20140203.14
DO  - 10.11648/j.ajam.20140203.14
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 92
EP  - 95
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20140203.14
AB  - In this paper we have suggested a difference type estimator for estimating the unknown population variance of the study variable y using auxiliary information. The optimum estimator in the suggested method has been identified along with its mean square error formula and it is seen that the suggested estimator performs better than other existing estimators. An empirical study is carried out to judge the merits of proposed estimator over other traditional estimators.
VL  - 2
IS  - 3
ER  -

Copy | Download