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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 1

Effective estimation of population mean, ratio and product in two-phase sampling in presence of random non-response

A. K. SHARMA
G. N. SİNGH
A. BANDYOPADHYAY
C. PAU
Pages
279–295
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

Empirical studies are carried out to validate the theoretical results, which are subsequently well interpreted followed by suitable recommendations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper presents some eective estimation strategies of population mean, ratio and product of two population means in two-phase (double) sampling when random non-response observed in the sample data.
📊
Key Findings & Data:Properties of proposed estimators have been examined and their performances are compared with sample mean, ratio and product estimators under the similar situations while the complete response was observed in the sample data.
💡
Conclusion & Impact:Empirical studies are carried out to validate the theoretical results, which are subsequently well interpreted followed by suitable recommendations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Two-phase sampling · random non-response · imputation

Abstract

This paper presents some eective estimation strategies of population mean, ratio and product of two population means in two-phase (double) sampling when random non-response observed in the sample data. Proposed estimators are dened using a random imputation method which is capable in reducing the negative impact of random non-response in two-phase (double) sampling setup. Properties of proposed estimators have been examined and their performances are compared with sample mean, ratio and product estimators under the similar situations while the complete response was observed in the sample data. Empirical studies are carried out to validate the theoretical results, which are subsequently well interpreted followed by suitable recommendations.

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Cite This Article

SHARMA, A. K., SİNGH, G. N., BANDYOPADHYAY, A., PAU, C. (2022). Effective estimation of population mean, ratio and product in two-phase sampling in presence of random non-response. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 1, 279–295. https://ajindex.com/articles/529896

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References (15)

  1. Bandyopadhyay, A. and Singh, G. N. Estimation of ratio of population means in two- occasion successive sampling. Communications in Statistics-Theory and Methods, DOI:10.1080/03610926.2014.917185, ISSN: 0361-0926, 2014. (Article in Press) Chand, L. Some ratio-type estimators based on two or more auxiliary variables. Ph. D. dissertation, Iowa State University, Ames, Iowa, 1975.
  2. Diana, G. and Perri, P. F. Improved estimators of the population mean for missing data. Communications in Statistics-Theory and Methods, 39, 3245-3251, 2010.
  3. Kiregyera, B. A chain ratio-type estimator in nite population double sampling using two auxiliary variables. Metrika, 27, 217-223, 1980.
  4. Kiregyera, B. Regression-type estimators using the two auxiliary variables and the model of double sampling from nite population. Metrika, 31(3-4), 215-226, 1984.
  5. Lee, H., Rancourt, E. and Sarndall, C. E. Experiments with Variance Estimation from Survey Data with Imputed Values. Journal of O cial Statistics, 10(3), 231-243. 1994.
  6. Mukherjee, R., Rao, T. J. and Vijayan, K. Regression type estimators using multiple auxil- iary information. Australian & New Zealand Journal of Statistics, 29, 244-254, 1987.
  7. Pradhan, B. K. A chain regression estimator in two-phase sampling using multi-auxiliary information. Bulletin of the malaysian mathematical sciences society, 28(1), 81-86, 2005.
  8. Rubin, D. B. Inference and Missing Data. Biometrika, 63(3), 581-592, 1976.
  9. Sande, I. G. A personal view of hot-deck imputation procedures. Survey Methodology, 5, 238-247, 1979.
  10. SanaullahA, Ali, H.A., Noor ul Amin, M., and Hanif, M. Generalized Exponential Chain Ratio Estimators Under Strati ed Two-Phase Random Sampling. Applied Mathematics and Computation, 226 (2014) 541547, 2014.
  11. Senapati, S. C. and Sahoo, L. N. An alternative class of estimators in double sampling. Bulletin Malaysian Mathematical Sciences Society, (2) 29(1), 89-94, 2006.
  12. Singh, G. N. On the use of transformed auxiliary variable in the estimation of population mean in two-phase sampling. Statistics in Transition, 5(3), 405-416, 2001.
  13. Singh, S. A new method of imputation in survey sampling. Statistics, 43(5), 499-511, 2009.
  14. Singh, G. N and Upadhyaya, L. N. A class of modi ed chain type estimators using two auxiliary variables in two-phase sampling. Metron, LIII, 117-125, 1995.
  15. Sing, G. N and Sharma, A. K. An improved estimation procedure of population mean in two phase sampling, Journal of International Academy of Physical Sciences, 18(1), 1-10, 2014. Sin