Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 4

A general procedure for estimating population variance in successive sampling using fuzzy tools

Pages
695–712
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Categorization of the dominance ranges of the proposed estimation strategies are deployed through defuzzication tools which are followed by suitable recommendations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data:The proposed class of estimators has been compared with the sample variance estimator and the results obtained are demonstrated through empirical studies.
💡
Conclusion & Impact:Categorization of the dominance ranges of the proposed estimation strategies are deployed through defuzzication tools which are followed by suitable recommendations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Variance estimation · successive sampling · fuzzy applications

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.

🔖

Cite This Article

SİNGH, G., BANDYOPADHYAY, A., CHATTERJEE, A., MUKHOPADHYAY, P. (2022). A general procedure for estimating population variance in successive sampling using fuzzy tools. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 4, 695–712. https://ajindex.com/articles/529909

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (17)

  1. Chand, L. Some ratio type estimators based on two or more auxiliary variables, Unpublished Ph. D. thesis, Iowa State University, Ames, Iowa (USA),1975.
  2. 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.
  3. Das, A. K. Estimation of population ratio on two occasions,Journal of Indian Society Agri- cultures Statistics (34),1-9,1982.
  4. Gupta, P. C. Sampling on two successive occasions, Journal of Statistical Research (13), 7-16,1979.
  5. 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.
  6. Jessen, R. J. Statistical investigation of a sample survey for obtaining farm facts, Agricul- tural Experiment Station Research (Bulletin No.304) Ames, Iowa, USA, 1-104, 1942.
  7. 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.
  8. Murthy, M. N. Sampling theory and methods, Statistical Publishing Society, Calcutta,India 1967.
  9. Patterson, H. D. Sampling on successive occasions with partial replacement of units, Journal of the Royal Statistical Society (12), 241-255, 1950.
  10. Rao, J. N. K. and Graham, J. E. Rotation design for sampling on repeated occasions, Journal of American Statistical Association (59), 492-509, 1964.
  11. Reddy, V. N. A study on the use of prior knowledge on certain population parameters in estimation, Sankhya Series C (40), 29-37, 1978.
  12. Sahoo, J. and Sahoo, L. N. A class of estimators in two-phase sampling using two auxiliary variables, Journal of Indian statistical Association (37),107-114, 1993.
  13. Singh, G. N., Singh, V. K., Priyanka, K., Prasad, S. and Karna, J. P. Rotation patterns under imputation of missing data over two-occasion, Communications in Statistics-Theory and Methods 41(4), 619-137, 2012a.
  14. Singh, G. N., Priyanka, k., Prasad, S., Singh, S. and Kim, J. M. A class of estimators for population variance in two occasion rotation patterns, Communications for Statistical Applications and Methods, 20(4), 247-257, 2013.
  15. Singh, H. P., Chandra, P., Joarder, A. H. and Singh, S. Family of estimators of mean, ratio and product of a nite population using random nonresponse, Test(16), 565-597, 2007.
  16. Singh, H. P. and Vishwakarma, G. K. A general class of estimators in successive sampling, Metron LXV(2), 201-227, 2007a.
  17. Singh, H. P., M