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Exponential and bayesian conjugate families: Review and extensions

Author

Listed:
  • E. Gutiérrez-Peña
  • A. Smith
  • José Bernardo
  • Guido Consonni
  • Piero Veronese
  • E. George
  • F. Girón
  • M. Martínez
  • G. Letac
  • Carl Morris

Abstract

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Suggested Citation

  • E. Gutiérrez-Peña & A. Smith & José Bernardo & Guido Consonni & Piero Veronese & E. George & F. Girón & M. Martínez & G. Letac & Carl Morris, 1997. "Exponential and bayesian conjugate families: Review and extensions," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 6(1), pages 1-90, June.
    • Handle: RePEc:spr:testjl:v:6:y:1997:i:1:p:1-90
    DOI: 10.1007/BF02564426
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    References listed on IDEAS

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    1. Magiera, Ryszard & Wilczynski, Maciej, 1991. "Conjugate priors for exponential-type processes," Statistics & Probability Letters, Elsevier, vol. 12(5), pages 379-384, November.
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    Citations

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    Cited by:

    1. Pitt, M.K. & Walker, S.G., 2001. "Construction of Stationary Time Series via the Giggs Sampler with Application to Volatility Models," The Warwick Economics Research Paper Series (TWERPS) 595, University of Warwick, Department of Economics.
    2. Consonni, Guido & Veronese, Piero & Gutiérrez-Peña, Eduardo, 2004. "Reference priors for exponential families with simple quadratic variance function," Journal of Multivariate Analysis, Elsevier, vol. 88(2), pages 335-364, February.
    3. Martínez-Ovando Juan Carlos & Olivares-Guzmán Sergio I. & Roldán-Rodríguez Adriana, 2014. "Predictive Inference on Finite Populations Segmented in Planned and Unplanned Domains," Working Papers 2014-04, Banco de México.
    4. Rufo, M.J. & Pérez, C.J. & Martín, J., 2009. "Local parametric sensitivity for mixture models of lifetime distributions," Reliability Engineering and System Safety, Elsevier, vol. 94(7), pages 1238-1244.
    5. Jianzhong Zhou & Kuaile Feng & Yi Liu & Chao Zhou & Feifei He & Guangbiao Liu & Zhongzheng He, 2020. "A Hydrologic Uncertainty Processor Using Linear Derivation in the Normal Quantile Transform Space," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(11), pages 3649-3665, September.
    6. Pitt, Michael K. & Walker, Stephen G., 2001. "Construction of Stationary Time Series via the Gibbs Sampler with Application to Volatility Models," Economic Research Papers 269365, University of Warwick - Department of Economics.
    7. Yanagimoto, Takemi & Ohnishi, Toshio, 2005. "Extensions of the conjugate prior through the Kullback-Leibler separators," Journal of Multivariate Analysis, Elsevier, vol. 92(1), pages 116-133, January.
    8. Luis Nieto-Barajas & Eduardo Gutiérrez-Peña, 2022. "General dependence structures for some models based on exponential families with quadratic variance functions," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(3), pages 699-716, September.
    9. F. Girón & Elías Moreno, 1998. "A note on an assertion by E. Gutiérrez-Peña and A.F.M. Smith (Test, 1997, p.87)," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 7(2), pages 427-429, December.
    10. Matthew Reimherr & Xiao‐Li Meng & Dan L. Nicolae, 2021. "Prior sample size extensions for assessing prior impact and prior‐likelihood discordance," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 83(3), pages 413-437, July.
    11. Stephen Walker & Eduardo Gutiérrez-Peña, 2011. "A decision-theoretical view of default priors," Theory and Decision, Springer, vol. 70(1), pages 1-11, January.
    12. Hornik, Kurt & Grün, Bettina, 2014. "On standard conjugate families for natural exponential families with bounded natural parameter space," Journal of Multivariate Analysis, Elsevier, vol. 126(C), pages 14-24.
    13. Rufo, M.J. & Pérez, C.J. & Martín, J., 2010. "Merging experts' opinions: A Bayesian hierarchical model with mixture of prior distributions," European Journal of Operational Research, Elsevier, vol. 207(1), pages 284-289, November.

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