Refine your search
Collections
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Nazir, Nageena
- A New Approach of Ratio Estimation in Sample Surveys
Abstract Views :336 |
PDF Views:0
Authors
Affiliations
1 Sher-e-Kashmir University of Agricultural Sciences and Technology of Jammu, Jammu (J&K), IN
1 Sher-e-Kashmir University of Agricultural Sciences and Technology of Jammu, Jammu (J&K), IN
Source
International Research Journal of Agricultural Economics and Statistics, Vol 8, No 1 (2017), Pagination: 100-103Abstract
This article deals with the estimation of population mean under simple random sampling using a new form of ratio estimator. The expression for mean square error and bias has been obtained. An efficiency comparison is considered for proposed estimator with the classical ratio, product and exponential ratio estimator. Finally an empirical study is also carried out to judge the performance of proposed estimator.Keywords
Simple Random Sampling, Ratio Estimator, Mean Square Error, Efficiency, AMS Classification: 62D05.References
- Bahl, S. and Tuteja, R.K. (1991). Ratio and product exponential estimator. Information & Optimazimation Sci., 12 (1) : 159-163
- Cochran, W.G. (1997). Sampling Techniques, 3rd Ed., John Wiley & Sons, Inc., New York, U.S.A.
- Jeelani, M.I. and Maqbool, S. (2013). Modified ratio estimators of population mean using linear combination of coefficient of skewness and quartile deviation. South Pacific J. Nat. & Appl. Sci., 31 (1) : 39-44.
- Murthy, M.N. (1967). Sampling theory and methods, Statistical Publishing Society, Calcutta (W.B.) India
- Prasad, B. (1989). Some improved ratio type estimators of population mean and ratio infinite population sample surveys, Communications in Statistics: Theory & Methods, 18 : 379–392.
- Sen, A.R. (1993). Some early developments in ratio estimation, Biometric J., 35 (1) : 3-13
- Singh, D. and Chaudhary, F.S. (1986). Theory and analysis of sample survey designs, New Age International Publisher.
- Singh, H.P. and Tailor, R. (2003). Use of known correlation Coefficient in estimating the finite population means, Statistics Transition, 6(4) : 555-560
- Singh, H.P., Singh, P., Tailor, R. and Kakran, M.S. (2004). An Improved Estimator of population mean using Power transformation. J. Indian Soc. Agric. Stat., 58(2) : 223-230.
- Singh, H.P. and Tailor, R. (2005). Estimation of finite population mean with known co-efficient of variation of an auxiliary, STATISTICA, anno 65 (3) : 301-313
- Upadhyaya, L.N. and Singh, H.P. (1999). Use of transformed auxiliary variable in estimating the finite population mean. Biometrical J., 41(5) : 627-636
- Yan, Z. and Tian, B. (2010).Ratio method to the mean estimation using co-efficient of skewness of auxiliary variable, ICICA2010, PartII,CCIS106(2010):103–110.
- Hierarchical Bayes Small Area Estimation under an Area Level Model with Applications to Horticultural Survey Data
Abstract Views :172 |
PDF Views:0
Authors
Affiliations
1 Division of Agri-Statistics, SKUAST-K, Shalimar (J&K), IN
2 Division of Agri-Statistics, SKUASTK, Shalimar (J&K), IN
1 Division of Agri-Statistics, SKUAST-K, Shalimar (J&K), IN
2 Division of Agri-Statistics, SKUASTK, Shalimar (J&K), IN
Source
International Research Journal of Agricultural Economics and Statistics, Vol 9, No 1 (2018), Pagination: 215-223Abstract
In this paper we studied Bayesian aspect of small area estimation using Area level model. We proposed and evaluated new prior distribution for the area level model, for the variance component rather than uniform prior. The proposed model is implemented using the MCMC method for fully Bayesian inference. Laplace approximation is used to obtain accurate approximations to the posterior moments. We apply the proposed model to the analysis of horticultural data and results from the model are compared with frequestist approach and with Bayesian model of uniform prior in terms of average relative bias, average squared relative bias and average absolute bias. The numerical results obtained highlighted the superiority of using the proposed prior over the uniform prior.Keywords
Small Area Estimation, Area Level Model, Hierarchical Bayes.References
- Adam, W., Aitke, G., Anderson, B. and William (2013). Evaluation and improvements in small area estimation methodologies. National Centre for Research Methods Methodological Review paper, Adam Whitworth (edt), University of Sheffield.
- Bell, W. (1999). Accounting for uncertainty about variances in small area estimation. Bull. Internat. Statist. Instit., 52 : 25-30.
- Berger, J.O. (1985). Statistical decision theory and bayesian analysis. Springer-Verlag, New York, U.S.A.
- Butar, F.B. and Lahiri, P. (2002). Empirical Bayes estimation of several population means and variances under random sampling variances model. J. Statist. Planning Inference, 102 : 59-69.
- Chambers, R., Chandra, H., Salvali, N. and Tzaidis, N. (2014). Outlier robust small area estimation. J. Royal Statist. Society : Series B, 76 (1) : 47-69.
- Datta, G.S., Lahiri , P. and Maiti, T. (2002). Estimation of median income of four person families by state using timeseries and cross sectional data. J. Statist. Planning & Influence, 102 : 83-97.
- Datta, G.S., Rao, J.N.K. and Smith, D.D. (2005). On measuring the variability of small area estimators under a basic area level model. Biometrika, 92 : 183-196.
- Fay, R.E. and Herriot, R.A. (1979). Estimation of incomes from small places: an application of James-Stein procedures to census data. J. American Statist. Assoc., 74: 269- 277.
- Ghosh, M., Nangia, N. and Kim, D. (1996). Estimation of median income of four-person families: A bayesian time series approach. J. American Statist. Assoc., 91 : 1423-1431.
- Harville, D.A. (1977). Maximum likelihood approach to variance component estimation and to related problems. J. American Statistical Assoc., 72: 320-340.
- Jiang, J. and Lahiri, P. (2006). Estimation of finite population domain means: A model-assisted empirical best prediction approach. J. American Statist. Assoc., 101: 301-311.
- Jiang, J. (2007). Linear and generalized linear mixed models and their applications. Springer.
- Jiango, V.D., Haziza, D. and Duchasne, P. (2013). Controlling the bias of robust small area estimators.NATSEM,9:23-30.
- Kass, R.E. and Staffey, D. (1989). Approximate Bayesian inference in conditional independent hierarchical models (parametrical empirical Bayes model). J. American Statist. Assoc., 84 : 717- 726.
- Li, H. and Lahiri, P. (2008). Adjusted density maximization method: An application to the small area estimation problem. Technical Report.
- Pfeffermann, D. (2013). New important development in small area estimation. J. Statist. Sci., 28 (1) : 40-68.
- Prasad, N.G.N. and Rao, J.N.K. (1990). On robust small area estimation using a simple random effects model. Survey Methodology, 25 : 67-72.
- Rao, J.N.K. (2003). Some new developments in small area estimation. J. Iranian Statist. Society, 2(2): 145-169.
- Rao, J.N.K., Sinha, S.K. and Dumitrescu, L. (2013). Robust small area estimation under semi-parametric mixed models. Canadian J. Statist., 9999: 1-16.
- Spiegelhalter, D., Thomas, A., Best, N. and Gilks, W. (1997). BUGS: Bayesian inference using Gibbs sampling, Version 0.6. Biostatistics Unit. Cambridge:MRC.
- Tierney, L. and Kadane, J.B. (1986). Accurate approximations for posterior moments and marginal densities. J. American Statist. Assoc., 81: 82-86.
- Tierney, L., Kass, R.E. and Kadane, J.B. (1989). Fully exponential Laplace approximations to expectations and variances of non-positive functions. J. American Statist.Assoc., 84 : 710-716.
- R Development Core Team (2008). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org.