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SHORT COMMUNICATIONS

Combining estimators of a common parameter across samples

, &
Pages 158-171 | Received 21 Mar 2018, Accepted 28 Sep 2018, Published online: 24 Oct 2018

References

  • Azzalini, A. (1985). A class of distributions which includes the normal ones. Scandinavian Journal of Statistics, 12, 171–178.
  • Bickel, P., & Doksum, K. (2007). Mathematical statistics (2nd ed., Vol. I). Upper Saddle River, NJ: Pearson Prentice Hall. updated printing.
  • Bickel, P., Klaassen, C., Ritov, Y., & Wellner, J. (1998). Efficient and adaptive estimation for semiparametric models. Berlin: Springer.
  • Carlin, B., & Louis, T. (2008). Bayesian methods for data analysis (3rd ed.). Boca Raton, FL: Chapman & Hall/CRC.
  • DeMissie, M. (2009). Investigating center effects in a multi-center clinical trial study using a parametric proportional hazards meta-analysis model (MS Thesis). Univ. of Maryland Statistics Program, DRUM Digital Repository. Retrieved from https://drum.lib.umd.edu/handle/1903/9588
  • Draper, N., & Smith, H. (1981). Applied regression analysis (2nd ed.). New York: Wiley.
  • Efron, B. (1996). Empirical Bayes methods for combining likelihoods. Journal of the American Statistical Association, 91, 538–550. doi: 10.1080/01621459.1996.10476919
  • Gray, R. (1994). A Bayesian analysis of institutional effects in a multicenter cancer clinical trial. Biometrics, 50, 244–253. doi: 10.2307/2533216
  • Hartung, J., Knapp, G., & Sinha, B. (2008). Statistical meta-analysis with applications. Hoboken, NJ: Wiley.
  • Janicki, R. (2009). Statistical inference based on estimating functions in exact and misspecified models (Ph.D. thesis). Univ. of Maryland Statistics Program, DRUM Digital Repository. Retrieved from https://drum.lib.umd.edu/handle/1903/9690
  • Kagan, A., & Rao, C. R. (2003). Some properties and applications of the efficient Fisher score. Journal of Statistical Planning & Inference, 116, 343–352. doi: 10.1016/S0378-3758(02)00351-8
  • Lin, D. Y., & Zeng, D. (2010). On the relative efficiency of using summary statistics versus individual-level data in meta-analysis. Biometrika, 97, 321–332. doi: 10.1093/biomet/asq006
  • Liu, D., Liu, R., & Xie, M. (2015). Multivariate meta-analysis of heterogeneous studies using only summary statistics: Efficiency and robustness. Journal of the American Statistical Association, 110, 326–340. doi: 10.1080/01621459.2014.899235
  • Olkin, I., & Sampson, A. (1998). Comparison of meta-analysis versus analysis of variance of individual patient data. Biometrics, 54, 347–352. doi: 10.2307/2534018
  • R Development Core Team (2017). R: A language and environment for statistical computing. Vienna: R Foundation for Statistical Computing. Retrieved from http://www.R-project.org, ISBN 3-900051-07-0.
  • Rao, C. R. (1973). Linear statistical inference (2nd ed.). New York: Wiley.
  • Rao, J. N. K., & Molina, I. (2015). Small area estimation (2nd ed.). Hoboken, NJ: Wiley.
  • Slud, E., & DeMissie, M. (2011). Validity of regression meta-analyses versus pooled analyses of mixed-effect linear models. Mathematics in Engineering, Science and Aerospace, 2(4), 251–266.
  • Tsiatis, A. (2006). Semiparametric theory and missing data. New York: Springer.
  • Van der Vaart, A. (1998). Asymptotic statistics. Cambridge: Cambridge University Press.

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