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Original Articles

Hierarchical Bayesian models for continuous and positively skewed data from small areas

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Pages 944-962 | Received 05 Oct 2018, Accepted 15 Jul 2019, Published online: 01 Aug 2019

References

  • Azzalini, A., and A. Capitanio. 2014. The skew-normal and related families. Cambridge University Press.
  • Central Bureau of Statistics 2004. Nepal, Nepal living standards survey 2003/04, Statistical report.
  • Elbers, C., J. O. Lanjouw, and P. Lanjouw. 2003. Micro-level estimation of poverty and inequality. Econometrica 71 (1):355–64. doi: 10.1111/1468-0262.00399.
  • Feng, C., H. Wang, N. Lu, and X. M. Tu. 2013. Log transformation: Application and interpretation in biomedical research. Statistics in Medicine 32 (2):230–9. doi: 10.1002/sim.5486.
  • Feng, C., H. Wang, N. Lu, T. Chen, H. He, Y. Lu, and X. M. Tu. 2014. Log-transformation and its implications for data analysis. Shanghai Archives of Psychiatry 26 (2):105–9. doi: 10.3969/j.issn.1002-0829.2014.02.009.
  • Foster, J., J. Greer, and E. Thorbecke. 1984. A Class of decomposable poverty measures. Econometrica 3:761–6. doi: 10.2307/1913475.
  • Gelfand, A. E., D. K. Dey, and H. Chang. 1992. Model determination using sampling-based methods, The office of Naval Research, Technical report 462.
  • Gelfand, A. E. 1996. Model determination using predictive distributions with implementation via sampling-based methods, Markov chain Monte Carlo in practice, 145–161.
  • Haslett, S. J., and G. Jones. 2006. Small area estimation of poverty, caloric intake and malnutrition in Nepal. Central Bureau of Statistics Nepal, United Nations World Food Programme and the World Bank 184:999337018–5.
  • Molina, I., and N. Martín. 2018. Empirical best prediction under a nested error model with log transformation. The Annals of Statistics 46 (5):1961–93. doi: 10.1214/17-AOS1608.
  • Molina, I., and J. N. K. Rao. 2010. Small area estimation of poverty indicators. Canadian Journal of Statistics 38(3):369–85. doi: 10.1002/cjs.10051.
  • Molina, I., B. Nandram, and J. N. K. Rao. 2014. Small area estimation of general parameters with application to poverty indicators: A hierarchical Bayes approach. The Annals of Applied Statistics 8 (2):852–85. doi: 10.1214/13-AOAS702.
  • Nandram, B., and J. W. Choi. 2005. Hierarchical Bayesian nonignorable nonresponse regression models for small areas: An application to the NHANES data, Survey Methodology, 32 (1):73–84.
  • Nandram, B., and J. W. Choi. 2010. A Bayesian analysis of body mass index data from small domains under nonignorable nonresponse and selection. Journal of the American Statistical Association 105 (489):120–35. doi: 10.1198/jasa.2009.ap08443.
  • Nandram, B., L. Chen, S. Fu, and B. Manandhar. 2018. Bayesian logistic regression for small areas with numerous households. Statistics and Application 16 (1):171–205.
  • Xu, Z., B. Nandram, and B. Manandhar. 2018. Bayesian Inference of a Finite Population Mean Under Length-Biased Sampling. arXiv preprint arXiv: 1902.04242.
  • The World Bank. 2006. Nepal - Resilience amidst conflict: an assessment of poverty in Nepal, 1995-96 and 2003-04.

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