### Small Area Estimation with Measurement Error in t Distributed Covariate Variable

#### Abstract

#### Keywords

#### Full Text:

PDF#### References

W. G. Cochran, Sampling Technique, 3rd Ed, New York: Wiley, 1977.

J. N. K. Rao and I. Molina, Small Area Estimation, 2nd ed., New York: John Wiley & Sons, Inc., 2015.

D. Pfeffermann, â€œSmall Area Estimation-New Development and Directions,â€ International Statistical Review, vol. 70 pp. 125-143, 2002.

W. A. Fuller, Measurement Error Models, New York: John Wiley & Sons, Inc., 1987.

D. Pfeffermann, â€œNew Important Developments in Small Area Estimation,â€ Statist Science, vol. 28 pp. 40-68, 2013.

S. Arima, G. S. Datta, and B. Liseo, â€œModels in Small Area Estimation when Covariates are Measured with Error,â€ in M. Pratesi (ed.), Analysis of Poverty Data by Small Area Estimation, New York: John Wiley & Sons Ltd, 2016.

G. E. Battese, R. M. Harter, W.A. Fuller, â€œAn Error Component Model for Prediction of Country Crop Area using Survey and Sattelite Data,â€ J. Amer. Statist. Assoc. vol. 83, pp. 28-36, 1988.

N. G. N. Prasad and J. N. K. Rao, â€œThe Estimation of Mean Square Error of Small Area Estimators,â€ J. Amer Statist. Assoc., vol. 85, pp. 163-171, 1990.

M. Ghosh, K. Sinha, and D. Kim, â€œEmpirical and Hierarchical Bayesian Estimation in Finite Population Sampling under Structural Measurement Error Models,â€ Scand. J. Statist, vol. 33, pp. 591-608, 2006.

M. Ghosh and G. Meeden, â€œEmpirical Bayes Estimation in Finite Population Sampling,â€ J. Amer. Statist. Assoc., vol. 81, pp. 1058-1062, 1986.

M. Torabi, â€œSome Contribution to Small Area Estimationâ€ PhD thesis, Carleton University, Ottawa, Ontario, Canada, 2006.

M. Torabi, G. S. Datta, J. N. K. Rao, â€œEmpirical Bayes Estimation of Small Area Means under a Nested Error Linear Regression Model with Measurement Errors in the Covariates,â€ Scand. J. Statist., vol. 36, pp. 355-368, 2009.

S. Arima, G. S. Datta, and B. Liseo, â€œObjective Bayesian Analysis of a Measurement Error Small Area Model,â€ Bayesian Anal., vol. 7, pp. 363-384, 2012.

M. Torabi, â€œSmall Area Estimation using Survey Weights under a Nested Error Linear Regression Model with Structural Measurement Errorâ€, J. Multivariate Anal., vol. 109, pp. 52-60, 2012.

A. L. Erciulescu, â€œSmall Area Prediction based on Unit Level Models when the Covariate Mean is Measured with Error â€œ, PhD thesis, Iowa State University, Ames, US, 2015.

A. L. Erciulescu and W.A. Fuller, â€œSmall Area Prediction under Alternative Model Specificationâ€, Statist in Transit New Series and Survey Methodology Joint Issue: Small Area Estimation 2014, vo. 17, pp. 9-24, 2016.

G. S. Datta, M. Torabi, J. N. K. Rao, B. Liu, â€œSmall Area Estimation with Multiple Covariates Measured with Errors: A Nested Error Linear Regression Approach of Combining Multiple Surveysâ€, J. Multivariate Anal., vol. 167, pp. 49-59, 2018.

K. L. Lange, R. J. A. Little, and J. M. G. Taylor, â€œRobust Statistical Modeling Using the t Distributionâ€ J. Amer. Statist. Assoc. vol. 408, pp. 881-896, 1989.

W. R. Bell and E. T. Huang, â€œUsing the t-distribution to Deal with Outliers in Small Area Estimation,â€ in Proc. of Statist. Canada Symposium on Methodological Issues in Measuring Population Health, 2006.

A. Ubaidillah, K. H. Notodiputro, A. Kurnia, I.W. Mangku, â€œA Comparative Study of Robust t Linear Mixed Models with Application to Household Consumption Per Capita Expenditure Data,â€ Applied Mathematical Science, vol. 12, pp. 57-68, 2018.

DOI: http://dx.doi.org/10.18517/ijaseit.10.4.9765

### Refbacks

- There are currently no refbacks.

Published by INSIGHT - Indonesian Society for Knowledge and Human Development