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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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