An Improved Estimator for Population Mean Using Auxiliary Information in Stratified Random Sampling

• Autorzy: Sachin Malik , Viplav K. Singh , Rajesh Singh
• Języki publikacji: EN

Abstrakty

EN

In the present study we propose a new estimator for population mean Y of the study variable y in the case of stratified random sampling using the information based on auxiliary variable x. An expression for the mean squared error (MSE) of the proposed estimator is derived up to the first order of approximation. The theoretical conditions have also been verified by a numerical example. An empirical study demonstrates the efficiency of the suggested estimator over sample mean estimator, usual separate ratio, separate product estimator and other proposed estimators. (original abstract)

Słowa kluczowe

EN

Estimators; Estimation; Statistical methods; Sampling survey; Population statistics

PL

Estymatory; Estymacja; Metody statystyczne; Badania reprezentacyjne; Statystyka ludności

• Czasopismo: Statistics in Transition
• Rocznik: 2014
• Tom: 15
• Numer: nr 1
• Strony: 59--66

Twórcy

autor

Sachin Malik

• Banaras Hindu University, India

autor

Viplav K. Singh

• Banaras Hindu University, India

autor

Rajesh Singh

• Banaras Hindu University, India

Bibliografia

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• KADILAR,C., CINGI,H., (2003). Ratio Estimators in Stratified Random Sampling. Biometrical Journal 45 (2003) 2, 218-225.
• KOYUNCU, N., KADILAR, C., (2009). Family of estimators of population mean using two auxiliary variables in stratified random sampling. Comm. In Stat. -Theory and Meth., 38: 14, 2398-2417.
• SOLANKI, R. S., SINGH, H. P., RATHOUR, A., (2012). An alternative estimator for estimating the finite population mean using auxiliary information in sample surveys. ISRN Prob. and Stat. doi: 10.5402/2012/657682.
• SINGH, H., P., VISHWAKARMA, G. K., (2008). A family of estimators of population mean using auxiliary information in stratified sampling. Communication in Statistics Theory and Methods, 37 (7), 1038-1050.
• SINGH, R., CHAUHAN, P., SAWAN, N., SMARANDACHE, F., (2007). Auxiliary information and a priori values in construction of improved estimators. Renaissance High Press. Zip publishing Columbas, Ohio, USA.
• YADAV R., UPADHYAYA L. N., SINGH H. P., CHATTERJEE S., (2011). Improved separate exponential estimator for population mean using auxiliary information. Statistics in Transition new series, 12 (2), pp. 401-412.