A General Family of Dual to Ratio-Cum-Product Estimator in Sample Surveys

• Autorzy: Rajesh Singh , Mukesh Kumar , Pankaj Chauhan , Nirmala Sawan , Florentin Smarandache
• Języki publikacji: EN

Abstrakty

EN

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)

Słowa kluczowe

EN

Estimators; Sampling survey

PL

Estymatory; Badania reprezentacyjne

• Czasopismo: Statistics in Transition
• Rocznik: 2011
• Tom: 12
• Numer: nr 3
• Strony: 587--594

Twórcy

autor

Rajesh Singh

• Banaras Hindu University, India

autor

Mukesh Kumar

• Banaras Hindu University, India

autor

Pankaj Chauhan

• Devi Ahilya Vishwavidyalaya, India

autor

Nirmala Sawan

• Devi Ahilya Vishwavidyalaya, India

autor

Florentin Smarandache

• University of New Mexico, USA

Bibliografia

• BANDYOPADHYAYA, S. (1980): Improved ratio and product estimators, Sankhya, Series C 42,45-49.
• KUMAR, M., BAHL, S., 2006, Class of dual to ratio estimators for double sampling, Statistical Papers, 47, 319-326.
• LUI, K. J. (1990): Modified product estimators of finite population mean in finite sampling. Communications in Statistics, Theory and Methods, 19(10), 37993807.
• 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.