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CPS2135 Sumonkanti Das et al.
with covariance matrix V in (3), whereas the third and fourth columns refer to the factor
variable the effects are varying over, associated with A in (3). The last column contains
the number of random effects for each term.
References
1. Bollineni-Balabay, O., J. van den Brakel, F. Palm, and H. J. Boonstra
(2017). Multilevel hierarchical bayesian versus state space approach in
time series small area estimation: the dutch travel survey. Journal of the
Royal Statistical Society: Series A (Statistics in Society) 180(4), 1281–
1308.
2. Boonstra, H. J. (2018). mcmcsae: MCMC Small Area Estimation. R
package version 0.9.
3. Boonstra, H. J. and J. van den Brakel (2016). Estimation of level and
change for unemployment using multilevel and structural time series
models. Technical Report 201610, https://www.cbs.nl/nl-
nl/achtergrond/2016/37/ estimation-of-level-and-change-for-
unemployment, Statistics Netherlands.
4. Boonstra, H. J. and J. van den Brakel (2018). Hierarchical bayesian time
series multilevel models for consistent small area estimates at different
frequencies and regional levels. Statistics Netherlands discussion paper,
December 4, 2018.
5. Fay, R. and R. Herriot (1979). Estimates of income for small places: An
application of james-stein procedures to census data. Journal of the
American Statistical Association 74(366), 269–277.
6. Gelfand, A. and A. Smith (1990). Sampling based approaches to
calculating marginal densities. Journal of the American Statistical
Association 85, 398–409.
7. S¨arndal, C.-E., B. Swensson, and J. Wretman (1992). Model Assisted
Survey Sampling. Springer.
8. Spiegelhalter, D., N. Best, B. Carlin, and A. van der Linde (2002). Bayesian
measures of model complexity and fit. Journal of the Royal Statistical
Society B 64(4), 583–639.
9. Watanabe, S. (2010). Asymptotic equivalence of bayes cross validation
and widely applicable information criterion in singular learning theory.
Journal of Machine Learning Research 11, 3571–3594.
10. Wolter, K. (2007). Introduction to Variance Estimation. Springer.
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