- Author
- Singh Rajesh (Banaras Hindu University, India), Kumar Mukesh (Banaras Hindu University, India), Chauhan Pankaj (Devi Ahilya Vishwavidyalaya, India), Sawan Nirmala (Devi Ahilya Vishwavidyalaya, India), Smarandache Florentin (University of New Mexico, USA)
- Title
- A General Family of Dual to Ratio-Cum-Product Estimator in Sample Surveys
- Source
- Statistics in Transition, 2011, vol. 12, nr 3, s. 587-594, tab., bibliogr. s. 594
- Keyword
- Estymatory, Badania reprezentacyjne
Estimators, Sampling survey - Note
- summ.
- Abstract
- This paper presents a family of dual to ratio-cum-product estimators for the finite population mean. Under simple random sampling without replacement (SRSWOR) scheme, expressions of the bias and mean-squared error (MSE) up to the first order of approximation are derived. We show that the proposed family is more efficient than usual unbiased estimator, ratio estimator, product estimator, Singh estimator (1967), Srivenkataramana (1980) and Bandyopadhyaya estimator (1980) and Singh et al. (2005) estimator. An empirical study is carried out to illustrate the performance of the constructed estimator over others. (original abstract)
- Accessibility
- The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice
The Main Library of Poznań University of Economics and Business
The Main Library of the Wroclaw University of Economics - Full text
- Show
- Bibliography
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- KUMAR, M., BAHL, S., 2006, Class of dual to ratio estimators for double sampling, Statistical Papers, 47, 319-326.
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- MURTHY, M. N. (1967): Sampling Theory and Methods. Statistical Publishing Society, Calcutta, India.
- PRASAD, B. (1989): Some improved ratio type estimators of population mean and ratio in finite population sample surveys. Communications in Statistics, Theory and Methods, 18, 379-392.
- REDDY, V. N. (1973): On ratio and product methods of estimation. Sankhya, Series B 35(3), 307-316.
- SINGH, H. P., SINGH, R., ESPEJO, M.R., PINED, D.M., NADARAJAH, S. (2005): On the efficiency of a dual to ratio-cum-product estimator in sample surveys. Mathematical Proceedings of the Royal Irish Academy, 105 A(2), 51-56.
- SINGH, M. P. (1967): Ratio-cum-product method of estimation. Metrika 12, 34-72.
- SINGH, M. P. (1969): Comparison of some ratio-cum-product estimators. Sankhya Series B, 31, 375-378.
- SINGH, R., CAUHAN, P., SAWAN, N., and SMARANDACHE, F. (2007): Auxiliary Information and a Priory Values in Construction of Improved Estimators. Renaissance High Press.
- SINGH, R., SINGH, J. and SMARANDACHE, F. (2009): Some Studies in Statistical Inference , Sampling Techniques and Demography. ProQuest Information & Learning.
- SRIVASTAVA, S. K. (1967): An estimator using auxiliary information. Cal. Stat. Assoc. Bull., 16, 121-132.
- SRIVENKATARAMANA, T (1980): A dual to ratio estimator in sample surveys. Biometrika 67, 199- 204.
- Cited by
- ISSN
- 1234-7655
- Language
- eng