A ratio-cum-product estimator of population mean in stratified random sampling using two auxiliary variables
DOI:
https://doi.org/10.6092/issn.1973-2201/3648Abstract
This paper proposes a ratio-cum-product estimator of finite population mean in stratified random sampling using information on population means of two auxiliary variables. The bias and mean squared error expressions are derived under large sample approximations. Proposed estimator has been compared with usual unbiased estimator in stratified sampling, combined ratio estimator and combined product estimator theoretically as well as empirically.References
B.N. PANDEY, V. DUBEY, (1988), Modified product estimator using coefficient of variation of auxiliary variable, “Assam Statistical Review”, 2, pp. 64-66.
B.V.S. SISODIA, V.K.. DWIVEDI, (1981), A modified ratio estimator using coefficient of variation of auxiliary variable, “Journal of Indian Society of agricultural Statistics”, 33, 2, pp. 13-18.
C. KADILAR, H. CINGI, (2003), Ratio estimators in stratified random sampling, “Biometrical Journal”, 45, 2, pp. 218-225.
C. KADILAR, H. CINGI, (2005), A New Ratio Estimator in Stratified Random Sampling, “Communications in Statistics-Theory and Methods”, 34, pp. 597-602.
C. KADILAR, H. CINGI, (2006), An improvement in estimating the population mean by using the correlation coefficient, “Hacettepe Journal of Mathematics and Statistics”, 35, 1, pp. 103-109.
D.S. ROBSON, (1957), Application of multivariate polykays to the theory of unbiased ratio-type estimation, “J. Amer. Statist. Assoc.”, 52, pp. 511-522.
H.P. SINGH, L.N. UPADHYAYA, R. TAILOR (2009). Ratio-cum-product type exponential estimator. “Statistica”, 69, 4, pp. 299-310.
H.P. SINGH, R. TAILOR, (2003), Use of known correlation coefficient in estimating the finite population mean, “Statistics in Transition”, 6, 4, pp. 555-560.
H.P. SINGH, R. TAILOR, (2005), Estimation of finite population mean using known correlation coefficient between auxiliary characters, “Statistica”, anno 65, 4, pp. 407-418.
H.P. SINGH, R. TAILOR, R. TAILOR, M.S. KAKRAN, (2004), An improved estimator of population mean using power transformation, “Journal of Indian Society of Agricultural Statistics”, 58, 2, pp. 223-230.
H.P. SINGH, R. TAILOR, S. SINGH, and J.M. KIM, (2008), A modified estimator of population mean using power transformation, “Statistical Papers”, 49, pp. 37-58.
H.P. SINGH, R. TAILOR, and R. TAILOR (2011). Estimation of finite population mean in two – phase sampling with known coefficient of variation of an auxiliary character. Accepted for publication in Statistica.
L.N. UPADHYAYA, H.P. SINGH, (1999), Use of transformed auxiliary variable in estimating the finite population mean. “Biometrical Journal”, 41, 5, pp. 627-636.
M. N. MURTHY, (1967), Sampling theory and methods, Statistical Publishing Society, Calcutta, India, pp. 228.
M. P. SINGH, (1967), Ratio cum product method of estimation, “Metrika”, 12, pp. 34-42.
M.H. HANSEN, W.N. HURWITZ, and M. GURNEY, (1946). Problems and methods of the sample survey of business, “Journal of American Statistical Association. Amer. Statist. Assoc.”, 41, pp. 173-189.
NATIONAL HORTICULTURE BOARD (2010). http://nhb.gov.in/statistics/area-productionstatistics.html
W.G. COCHRAN, (1940), The estimation of yield of cereal experiments by sampling for the ratio of gain to total produce, “Journal of Agricultural Science.”, 30, pp. 262-275.
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