EN
A general procedure for estimating population variance in successive sampling using fuzzy tools
Abstract
This paper defines a general class of estimators for estimating population variance on current occasion in two occasion successive sampling.
Detail behaviors of the proposed class of estimators have been studied and its optimum replacement strategy has also been discussed. The proposed class of estimators has been compared with the sample variance estimator and the results obtained are demonstrated through empirical studies. Categorization of the dominance ranges of the proposed estimation strategies are deployed through defuzzication tools which are followed by suitable recommendations.
Detail behaviors of the proposed class of estimators have been studied and its optimum replacement strategy has also been discussed. The proposed class of estimators has been compared with the sample variance estimator and the results obtained are demonstrated through empirical studies. Categorization of the dominance ranges of the proposed estimation strategies are deployed through defuzzication tools which are followed by suitable recommendations.
Keywords
References
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- Chaturvedi, D. K. and Tripathi, T. P. Estimation of population ratio on two occasion us- ing multivariate auxiliary information,Journal of Indian Statistical Association (21),113- 120,1983.
- Das, A. K. Estimation of population ratio on two occasions,Journal of Indian Society Agri- cultures Statistics (34),1-9,1982.
- Gupta, P. C. Sampling on two successive occasions, Journal of Statistical Research (13), 7-16,1979.
- Gupta, S. and Shabbir, J. On improvement in estimating the population mean in simple random sampling, Journal of Applied Statistics 35(5), 559-566, 2008.
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- Mamdani, E. H. and Assilian, S. An experiment in linguistic synthesis with a fuzzy logic controller,International Journal of Man-Machine Studies 7(1), 1-13, 1975.
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
August 1, 2017
Submission Date
July 29, 2015
Acceptance Date
November 1, 2015
Published in Issue
Year 2017 Volume: 46 Number: 4
APA
Chatterjee, A., Singh, G., Bandyopadhyay, A., & Mukhopadhyay, P. (2017). A general procedure for estimating population variance in successive sampling using fuzzy tools. Hacettepe Journal of Mathematics and Statistics, 46(4), 695-712. https://izlik.org/JA82KB29XS
AMA
1.Chatterjee A, Singh G, Bandyopadhyay A, Mukhopadhyay P. A general procedure for estimating population variance in successive sampling using fuzzy tools. Hacettepe Journal of Mathematics and Statistics. 2017;46(4):695-712. https://izlik.org/JA82KB29XS
Chicago
Chatterjee, A., G.n. Singh, A. Bandyopadhyay, and P. Mukhopadhyay. 2017. “A General Procedure for Estimating Population Variance in Successive Sampling Using Fuzzy Tools”. Hacettepe Journal of Mathematics and Statistics 46 (4): 695-712. https://izlik.org/JA82KB29XS.
EndNote
Chatterjee A, Singh G, Bandyopadhyay A, Mukhopadhyay P (August 1, 2017) A general procedure for estimating population variance in successive sampling using fuzzy tools. Hacettepe Journal of Mathematics and Statistics 46 4 695–712.
IEEE
[1]A. Chatterjee, G. Singh, A. Bandyopadhyay, and P. Mukhopadhyay, “A general procedure for estimating population variance in successive sampling using fuzzy tools”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 4, pp. 695–712, Aug. 2017, [Online]. Available: https://izlik.org/JA82KB29XS
ISNAD
Chatterjee, A. - Singh, G.n. - Bandyopadhyay, A. - Mukhopadhyay, P. “A General Procedure for Estimating Population Variance in Successive Sampling Using Fuzzy Tools”. Hacettepe Journal of Mathematics and Statistics 46/4 (August 1, 2017): 695-712. https://izlik.org/JA82KB29XS.
JAMA
1.Chatterjee A, Singh G, Bandyopadhyay A, Mukhopadhyay P. A general procedure for estimating population variance in successive sampling using fuzzy tools. Hacettepe Journal of Mathematics and Statistics. 2017;46:695–712.
MLA
Chatterjee, A., et al. “A General Procedure for Estimating Population Variance in Successive Sampling Using Fuzzy Tools”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 4, Aug. 2017, pp. 695-12, https://izlik.org/JA82KB29XS.
Vancouver
1.A. Chatterjee, G.n. Singh, A. Bandyopadhyay, P. Mukhopadhyay. A general procedure for estimating population variance in successive sampling using fuzzy tools. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Aug. 1;46(4):695-712. Available from: https://izlik.org/JA82KB29XS