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An overview of robust Bayesian analysis

Citations

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Cited by:

  1. Hansen, Lars Peter, 2013. "Uncertainty Outside and Inside Economic Models," Nobel Prize in Economics documents 2013-7, Nobel Prize Committee.
  2. Sinha, Pankaj & Jayaraman, Prabha, 2010. "Robustness of Bayes decisions for normal and lognormal distributions under hierarchical priors," MPRA Paper 22416, University Library of Munich, Germany.
  3. R. Winkler & Javier Muñoz & José Cervera & José Bernardo & Gail Blattenberger & Joseph Kadane & Dennis Lindley & Allan Murphy & Robert Oliver & David Ríos-Insua, 1996. "Scoring rules and the evaluation of probabilities," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 5(1), pages 1-60, June.
  4. Aven, Terje & Guikema, Seth, 2011. "Whose uncertainty assessments (probability distributions) does a risk assessment report: the analysts' or the experts'?," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1257-1262.
  5. Agata Boratyńska, 2021. "Robust Bayesian insurance premium in a collective risk model with distorted priors under the generalised Bregman loss," Statistics in Transition New Series, Polish Statistical Association, vol. 22(3), pages 123-140, September.
  6. DongHyuk Lee & Raymond J. Carroll & Samiran Sinha, 2017. "Frequentist standard errors of Bayes estimators," Computational Statistics, Springer, vol. 32(3), pages 867-888, September.
  7. Takuo Matsubara & Jeremias Knoblauch & François‐Xavier Briol & Chris J. Oates, 2022. "Robust generalised Bayesian inference for intractable likelihoods," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 84(3), pages 997-1022, July.
  8. Boratyńska Agata, 2021. "Robust Bayesian insurance premium in a collective risk model with distorted priors under the generalised Bregman loss," Statistics in Transition New Series, Statistics Poland, vol. 22(3), pages 123-140, September.
  9. Peña, Daniel & Zamar, Ruben, 1997. "A simple diagnostic tool for local prior sensitivity," Statistics & Probability Letters, Elsevier, vol. 36(2), pages 205-212, December.
  10. Kenneth A. Bollen & Surajit Ray & Jane Zavisca & Jeffrey J. Harden, 2012. "A Comparison of Bayes Factor Approximation Methods Including Two New Methods," Sociological Methods & Research, , vol. 41(2), pages 294-324, May.
  11. Perez, C.J. & Martin, J. & Rufo, M.J., 2006. "MCMC-based local parametric sensitivity estimations," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 823-835, November.
  12. Boratyńska, Agata, 2017. "Robust Bayesian estimation and prediction of reserves in exponential model with quadratic variance function," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 135-140.
  13. Ali Karimnezhad & Mahmoud Zarepour, 2020. "A general guide in Bayesian and robust Bayesian estimation using Dirichlet processes," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(3), pages 321-346, April.
  14. Niansheng Tang & Sy-Miin Chow & Joseph G. Ibrahim & Hongtu Zhu, 2017. "Bayesian Sensitivity Analysis of a Nonlinear Dynamic Factor Analysis Model with Nonparametric Prior and Possible Nonignorable Missingness," Psychometrika, Springer;The Psychometric Society, vol. 82(4), pages 875-903, December.
  15. M. Perone-Pacifico & G. Salinetti & L. Tardella, 1996. "Bayesian robustness on constrained density band classes," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 5(2), pages 395-409, December.
  16. Gómez-Villegas, Miguel A. & Sanz, Luis, 2000. "[var epsilon]-contaminated priors in testing point null hypothesis: a procedure to determine the prior probability," Statistics & Probability Letters, Elsevier, vol. 47(1), pages 53-60, March.
  17. Henkel, Luca, 2024. "Experimental evidence on the relationship between perceived ambiguity and likelihood insensitivity," Games and Economic Behavior, Elsevier, vol. 145(C), pages 312-338.
  18. A.Hernández-Bastida & J. M. Pérez–Sánchez & E. Gómez-Deniz, 2007. "Bayesian Analysis Of The Compound Collective Model: The Net Premium Principle With Exponential Poisson And Gamma–Gamma Distributions," FEG Working Paper Series 07/03, Faculty of Economics and Business (University of Granada).
  19. Müller, Ulrich K., 2012. "Measuring prior sensitivity and prior informativeness in large Bayesian models," Journal of Monetary Economics, Elsevier, vol. 59(6), pages 581-597.
  20. Arielle Anderer & Hamsa Bastani & John Silberholz, 2022. "Adaptive Clinical Trial Designs with Surrogates: When Should We Bother?," Management Science, INFORMS, vol. 68(3), pages 1982-2002, March.
  21. C. Tsao & Yu-Ling Tseng, 2006. "Confidence estimation for tolerance intervals," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 58(3), pages 441-456, September.
  22. Gómez Déniz, E. & Pérez Sánchez, J. M., 2001. "Fijación de primas de seguros bajo técnicas de robustez bayesiana," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 19, pages 5-20, Diciembre.
  23. Congdon, Peter, 2008. "A bivariate frailty model for events with a permanent survivor fraction and non-monotonic hazards; with an application to age at first maternity," Computational Statistics & Data Analysis, Elsevier, vol. 52(9), pages 4346-4356, May.
  24. J. Arias-Nicolás & J. Martín & A. Suárez-Llorens, 2009. "$${\mathcal{L}}_p$$ loss functions: a robust bayesian approach," Statistical Papers, Springer, vol. 50(3), pages 501-509, June.
  25. Radhakanta Das & Vivek Verma & Dilip C. Nath, 2017. "Bayesian Estimation Of Measles Vaccination Coverage Under Ranked Set Sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 18(4), pages 589-608, December.
  26. Petrova, Katerina, 2022. "Asymptotically valid Bayesian inference in the presence of distributional misspecification in VAR models," Journal of Econometrics, Elsevier, vol. 230(1), pages 154-182.
  27. Dragon Yongjun Tang, 2014. "Potential losses from incorporating return predictability into portfolio allocation," Australian Journal of Management, Australian School of Business, vol. 39(1), pages 35-45, February.
  28. Aven, Terje & Zio, Enrico, 2011. "Some considerations on the treatment of uncertainties in risk assessment for practical decision making," Reliability Engineering and System Safety, Elsevier, vol. 96(1), pages 64-74.
  29. Hansen, Lars Peter & Sargent, Thomas J., 2021. "Macroeconomic uncertainty prices when beliefs are tenuous," Journal of Econometrics, Elsevier, vol. 223(1), pages 222-250.
  30. Didier Dubois, 2010. "Representation, Propagation, and Decision Issues in Risk Analysis Under Incomplete Probabilistic Information," Risk Analysis, John Wiley & Sons, vol. 30(3), pages 361-368, March.
  31. .Fernández Huerga, E., 2004. "Causas de la utilización del empleo temporal y la subcontratación: Análisis empírico de las industrias extractivas en León," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 22, pages 371(30á)-37, Agosto.
  32. Raffaella Giacomini & Toru Kitagawa & Matthew Read, 2021. "Robust Bayesian Analysis for Econometrics," Working Paper Series WP-2021-11, Federal Reserve Bank of Chicago.
  33. Ho, Paul, 2023. "Global robust Bayesian analysis in large models," Journal of Econometrics, Elsevier, vol. 235(2), pages 608-642.
  34. Basu, Sanjib, 1996. "Bayesian hypotheses testing using posterior density ratios," Statistics & Probability Letters, Elsevier, vol. 30(1), pages 79-86, September.
  35. Christopher Chambers & Paul Healy, 2012. "Updating toward the signal," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(3), pages 765-786, August.
  36. Chamberlain, Gary, 2000. "Econometrics and decision theory," Journal of Econometrics, Elsevier, vol. 95(2), pages 255-283, April.
  37. Igor Kopylov, 2016. "Subjective probability, confidence, and Bayesian updating," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(4), pages 635-658, October.
  38. Pankaj Sinha & Ashok Bansal, 2008. "Bayesian optimization analysis with ML-II ε-contaminated prior," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(2), pages 203-211.
  39. Andrew J. Keith & Darryl K. Ahner, 2021. "A survey of decision making and optimization under uncertainty," Annals of Operations Research, Springer, vol. 300(2), pages 319-353, May.
  40. Gomez-Deniz, E. & Hernandez-Bastida, A. & Vazquez-Polo, F. J., 1999. "The Esscher premium principle in risk theory: a Bayesian sensitivity study," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 387-395, December.
  41. Beau Coker & Cynthia Rudin & Gary King, 2021. "A Theory of Statistical Inference for Ensuring the Robustness of Scientific Results," Management Science, INFORMS, vol. 67(10), pages 6174-6197, October.
  42. Ali Karimnezhad & Ahmad Parsian, 2018. "Most stable sample size determination in clinical trials," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 27(3), pages 437-454, August.
  43. Lars P. Hansen & Thomas J. Sargent, 2016. "Sets of Models and Prices of Uncertainty," NBER Working Papers 22000, National Bureau of Economic Research, Inc.
  44. Milazzo, Maria Francesca & Aven, Terje, 2012. "An extended risk assessment approach for chemical plants applied to a study related to pipe ruptures," Reliability Engineering and System Safety, Elsevier, vol. 99(C), pages 183-192.
  45. Sinha, Pankaj & Jayaraman, Prabha, 2009. "Bayes reliability measures of Lognormal and inverse Gaussian distributions under ML-II ε-contaminated class of prior distributions," MPRA Paper 16528, University Library of Munich, Germany.
  46. Fabrizio Ruggeri, 2014. "On Some Optimal Bayesian Nonparametric Rules for Estimating Distribution Functions," Econometric Reviews, Taylor & Francis Journals, vol. 33(1-4), pages 289-304, June.
  47. Roger Flage & Terje Aven & Enrico Zio & Piero Baraldi, 2014. "Concerns, Challenges, and Directions of Development for the Issue of Representing Uncertainty in Risk Assessment," Risk Analysis, John Wiley & Sons, vol. 34(7), pages 1196-1207, July.
  48. Russell B. Millar, 2004. "Sensitivity of Bayes Estimators to Hyper-Parameters with an Application to Maximum Yield from Fisheries," Biometrics, The International Biometric Society, vol. 60(2), pages 536-542, June.
  49. Mohammad Jafari Jozani & Éric Marchand & Ahmad Parsian, 2012. "Bayesian and Robust Bayesian analysis under a general class of balanced loss functions," Statistical Papers, Springer, vol. 53(1), pages 51-60, February.
  50. Pérez-Hornero, Patricia & Arias-Nicolás, José Pablo & Pulgarín, Antonio A. & Pulgarín, Antonio, 2013. "An annual JCR impact factor calculation based on Bayesian credibility formulas," Journal of Informetrics, Elsevier, vol. 7(1), pages 1-9.
  51. Zio, Enrico & Aven, Terje, 2011. "Uncertainties in smart grids behavior and modeling: What are the risks and vulnerabilities? How to analyze them?," Energy Policy, Elsevier, vol. 39(10), pages 6308-6320, October.
  52. Emilio Gomez-Deniz & Enrique Calderin-Ojeda, 2010. "A study of Bayesian local robustness with applications in actuarial statistics," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(9), pages 1537-1546.
  53. Das Radhakanta & Verma Vivek & Nath Dilip C., 2017. "Bayesian Estimation of Measles Vaccination Coverage Under Ranked Set Sampling," Statistics in Transition New Series, Statistics Poland, vol. 18(4), pages 589-608, December.
  54. Zhichao Liu & Catherine Forbes & Heather Anderson, 2017. "Robust Bayesian exponentially tilted empirical likelihood method," Monash Econometrics and Business Statistics Working Papers 21/17, Monash University, Department of Econometrics and Business Statistics.
  55. Gómez Déniz, E. & Pérez Sánchez, J.M., 2001. "Buenos y malos riesgos en seguros: el punto de vista bayesiano basado en distribuciones bimodales," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 18, pages 175-187, Agosto.
  56. Gert de Cooman & Peter Walley, 2002. "A possibilistic hierarchical model for behaviour under uncertainty," Theory and Decision, Springer, vol. 52(4), pages 327-374, June.
  57. Hernández Bastida, Agustín & Moreno Carretero, Mª Francisca & Vázquez Polo, Francisco José, 1997. "Cotas para el error total de una contabilidad: Aproximaciones bayesianas basadas en la distribución multinomial," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 7, pages 17-38, Junio.
  58. Dan J. Spitzner, 2023. "Calibrated Bayes factors under flexible priors," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 32(3), pages 733-767, September.
  59. Jingjing He & Wei Wang & Min Huang & Shaohua Wang & Xuefei Guan, 2021. "Bayesian Inference under Small Sample Sizes Using General Noninformative Priors," Mathematics, MDPI, vol. 9(21), pages 1-20, November.
  60. Ming Ouyang & Xinyuan Song, 2020. "Bayesian Local Influence of Generalized Failure Time Models with Latent Variables and Multivariate Censored Data," Journal of Classification, Springer;The Classification Society, vol. 37(2), pages 298-316, July.
  61. Gómez Déniz, E. & Hernández Bastida, A. & Vázquez Polo, F.J., 1998. "Un Análisis de Sensibilidad del Proceso de Tarificación en los Seguros Generales," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 9, pages 19-34, Junio.
  62. Sinha, Pankaj & Jayaraman, Prabha, 2009. "Robustness of Bayesian results for Inverse Gaussian distribution under ML-II epsilon-contaminated and Edgeworth Series class of prior distributions," MPRA Paper 15396, University Library of Munich, Germany.
  63. Andral, Charly & Douc, Randal & Marival, Hugo & Robert, Christian P., 2024. "The importance Markov chain," Stochastic Processes and their Applications, Elsevier, vol. 171(C).
  64. Chiara Landi & Gianluca Stefani & Benedetto Rocchi & Ginevra Virginia Lombardi & Sabina Giampaolo, 2016. "Regional Differentiation and Farm Exit: A Hierarchical Model for Tuscany," Journal of Agricultural Economics, Wiley Blackwell, vol. 67(1), pages 208-230, February.
  65. Chamberlain Mbah & Kris Peremans & Stefan Van Aelst & Dries F. Benoit, 2019. "Robust Bayesian seemingly unrelated regression model," Computational Statistics, Springer, vol. 34(3), pages 1135-1157, September.
  66. Gomez-Deniz, E. & Perez-Sanchez, J.M. & Vazquez-Polo, F.J., 2006. "On the use of posterior regret [Gamma]-minimax actions to obtain credibility premiums," Insurance: Mathematics and Economics, Elsevier, vol. 39(1), pages 115-121, August.
  67. Sánchez-Sánchez, M. & Sordo, M.A. & Suárez-Llorens, A. & Gómez-Déniz, E., 2019. "Deriving Robust Bayesian Premiums Under Bands Of Prior Distributions With Applications," ASTIN Bulletin, Cambridge University Press, vol. 49(1), pages 147-168, January.
  68. Sanjib Basu, 1999. "Posterior Sensitivity to the Sampling Distribution and the Prior: More than One Observation," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(3), pages 499-513, September.
  69. Jacinto Martín & David Insua & Fabrizio Ruggeri, 2003. "Joint sensitivity in bayesian decision theory," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 12(1), pages 173-194, June.
  70. Abhijoy Saha & Sebastian Kurtek, 2019. "Geometric Sensitivity Measures for Bayesian Nonparametric Density Estimation Models," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 81(1), pages 104-143, February.
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