Review Articles

Combining multiple imperfect data sources for small area estimation: a Bayesian model of provincial fertility rates in Cambodia

Junni L. Zhang ,

Guanghua School of Management, Center for Statistical Science and Center for Data Science, Peking University, Beijing, People's Republic of China

junnizhang@163.com

John Bryant

Bayesian Demography Limited, Christchurch, New Zealand

Pages 178-185 | Received 24 Dec. 2018, Accepted 17 Aug. 2019, Published online: 25 Aug. 2019,
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ABSTRACT

Demographic estimation becomes a problem of small area estimation when detailed disaggregation leads to small cell counts. The usual difficulties of small area estimation are compounded when the available data sources contain measurement errors. We present a Bayesian approach to the problem of small area estimation with imperfect data sources. The overall model contains separate submodels for underlying demographic processes and for measurement processes. All unknown quantities in the model, including coverage ratios and demographic rates, are estimated jointly via Markov chain Monte Carlo methods. The approach is illustrated using the example of provincial fertility rates in Cambodia.