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Original Articles

Range of posterior measures for priors with arbitrary contaminations

Pages 1591-1612 | Received 01 Feb 1987, Published online: 27 Jun 2007

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Read on this site (6)

MiguelA. Gómez-Villegas & Beatriz González-Pérez. (2011) A Bayesian Analysis for the Homogeneity Testing Problem Using ϵ–Contaminated Priors. Communications in Statistics - Theory and Methods 40:6, pages 1049-1062.
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Julián de la Horra. (2007) Bayesian Robustness of the Positive False Discovery Rate. Communications in Statistics - Theory and Methods 36:10, pages 1905-1914.
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Julian de la Horra & Maria Teresa Rodriguez-Bernal. (2003) Bayesian Robustness of the Posterior Predictive p-Value. Communications in Statistics - Theory and Methods 32:8, pages 1493-1503.
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Francisco José Vázquez-Polo. (2001) “Principal Applications of Bayesian Methods in Actuarial Science: A Perspective”, Udi E. Makov, October 2001. North American Actuarial Journal 5:4, pages 62-67.
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Julián De La Horra & Carmen Fernández. (1994) Bayesian robustness of credible regions in the presence of nuisance parameters. Communications in Statistics - Theory and Methods 23:3, pages 689-699.
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Fabrizio Ruggeri. (1990) Posterior ranges of functions of parameters under priors with specified quantiles. Communications in Statistics - Theory and Methods 19:1, pages 127-144.
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Articles from other publishers (19)

Ali Karimnezhad & Fahimeh Moradi. (2015) Bayesian parameter learning with an application. METRON 74:1, pages 61-74.
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Ali Karimnezhad & Ahmad Parsian. (2013) Robust Bayesian methodology with applications in credibility premium derivation and future claim size prediction. AStA Advances in Statistical Analysis 98:3, pages 287-303.
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Agata Boratyńska. (2015) Posterior Regret Γ-Minimax Estimation of Insurance Premium in Collective Risk Model. ASTIN Bulletin 38:1, pages 277-291.
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Agata Boratyńska. (2015) Posterior Regret Γ-Minimax Estimation of Insurance Premium in Collective Risk Model. ASTIN Bulletin 38:1, pages 277-291.
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Miguel A. Gómez-Villegas & Beatriz González-Pérez. (2007) ε-Contaminated priors in contingency tables. TEST 17:1, pages 163-178.
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Christophe Abraham & Benoît Cadre. (2004) Asymptotic global robustness in bayesian decision theory. The Annals of Statistics 32:4.
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Miguel A. Gómez-Villegas & Luis Sanz. (2000) ε-contaminated priors in testing point null hypothesis: a procedure to determine the prior probability. Statistics & Probability Letters 47:1, pages 53-60.
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Siva Sivaganesan. 2000. Robust Bayesian Analysis. Robust Bayesian Analysis 89 108 .
Elias Moreno. 2000. Robust Bayesian Analysis. Robust Bayesian Analysis 45 70 .
James O. Berger, David Ríos Insua & Fabrizio Ruggeri. 2000. Robust Bayesian Analysis. Robust Bayesian Analysis 1 32 .
E. Gómez-Déniz, A. Hernández-Bastida & F.J. Vázquez-Polo. (1999) The Esscher premium principle in risk theory: a Bayesian sensitivity study. Insurance: Mathematics and Economics 25:3, pages 387-395.
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Brani Vidakovic & Fabrizio Ruggeri. (1999) Expansion estimation by Bayes rules. Journal of Statistical Planning and Inference 79:2, pages 223-235.
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Paul Gustafson. (1996) Local sensitivity of posterior expectations. The Annals of Statistics 24:1.
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Joel B. Greenhouse & Larry Waserman. (2007) Robust bayesian methods for monitoring clinical trials. Statistics in Medicine 14:12, pages 1379-1391.
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James O. Berger, Elías Moreno, Luis Raul Pericchi, M. Jesús Bayarri, José M. Bernardo, Juan A. Cano, Julián De la Horra, Jacinto Martín, David Ríos-Insúa, Bruno Betrò, A. Dasgupta, Paul Gustafson, Larry Wasserman, Joseph B. Kadane, Cid Srinivasan, Michael Lavine, Anthony O’Hagan, Wolfgang Polasek, Christian P. Robert, Constantinos Goutis, Fabrizio Ruggeri, Gabriella Salinetti & Siva Sivaganesan. (1994) An overview of robust Bayesian analysis. Test 3:1, pages 5-124.
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S.D. Hill & J.C. Spall. (1994) Sensitivity of a Bayesian analysis to the prior distribution. IEEE Transactions on Systems, Man, and Cybernetics 24:2, pages 216-221.
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Julian de la Horra & Carmen Fernandez. (1994) Bayesian analysis under ε-contaminated priors: a trade-off between robustness and precision. Journal of Statistical Planning and Inference 38:1, pages 13-30.
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S. Sivaganesan. (1991) Sensitivity of some standard Bayesian estimates to prior uncertainty: a comparison. Journal of Statistical Planning and Inference 27:1, pages 85-103.
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James O. Berger. (1990) Robust Bayesian analysis: sensitivity to the prior. Journal of Statistical Planning and Inference 25:3, pages 303-328.
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