msaeOB

Implements multivariate optimum benchmarking small area estimation. This package provides optimum benchmarking estimation for univariate and multivariate small area estimation and its MSE. In fact, MSE estimators for optimum benchmark are not readily available, so resampling method that called parametric bootstrap is applied. The optimum benchmark model and parametric bootstrap in this package are based on the model proposed in small area estimation (J.N.K Rao and Isabel Molina, 2015).

Authors

Muhammad Yasqi Imanda, Zenda Oka Briantiko, Azka Ubaidillah

Maintainer

Muhammad Yasqi Imanda 221810403@stis.ac.id

Installation

You can install the released version of msaeOB from CRAN with:

install.packages("msaeOB")

Functions

• est_saeOB : Produces EBLUPs Optimum Benchmarking based on a Univariate Fay-Herriot (Model 1)
• mse_saeOB : Parametric Bootstrap Mean Squared Error Estimators of Optimum Benchmarking for Univariate Small Area Estimation
• est_msaeOB : Produces EBLUPs Optimum Benchmarking based on a Multivariate Fay-Herriot (Model 1)
• mse_msaeOB : Parametric Bootstrap Mean Squared Error Estimators of Optimum Benchmarking for Multivariate Small Area Estimation
• est_saeOBns : Produces EBLUPs Optimum Benchmarking for Non Sampled Area based on a Univariate Fay-Herriot (Model 1)
• mse_saeOBns : Parametric Bootstrap Mean Squared Error Estimators of Optimum Benchmarking for Univariate Non Sampled Area in Small Area Estimation
• est_msaeOBns : Produces EBLUPs Optimum Benchmarking for Non Sampled Area based on a Multivariate Fay Herriot (Model 1)
• mse_msaeOBns : Parametric Bootstrap Mean Squared Error Estimators of Optimum Benchmarking for Multivariate Non Sampled Area in Small Area Estimation

References

• Rao, J.N.K & Molina. (2015). Small Area Estimation 2nd Edition. New York: John Wiley and Sons, Inc.
• Benavent, Roberto & Morales, Domingo. (2015). “Multivariate Fay-Herriot models for small area estimation”. Computational Statistics and Data Analysis 94 2016 372-390. DOI: 10.1016/j.csda.2015.07.013.
• Ubaidillah, Azka et al. (2019). Multivariate Fay-Herriot models for small area estimation with application to household consumption per capita expenditure in Indonesia. Journal of Applied Statistics. 46:15. 2845-2861. DOI: 10.1080/02664763.2019.1615420.
• Wang, J., Fuller, W.A., and Qu, Y. (2008). Small Area Estimation Under Restriction. Survey Methodology. 34. 29–36.
• You, Y., Rao, J.N.K., and Hidiroglou, M.A. (2013). On the Performance of Self-Benchmarked Small Area Estimators Under the Fay-Herriot Area Level Model. Survey Methodology, 39, 217–229.
• Krzciuk, M. K. (2018). On the Simulation Study of Jackknife and Bootstrap MSE Estimators of a Domain Mean Predictor for Fay‑Herriot Model. Acta Universitatis Lodziensis. Folia Oeconomica, 5(331), 169-183.