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Decision theoretic foundations of credibility theory

Citations

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Cited by:

  1. Gómez-Déniz, E., 2008. "A generalization of the credibility theory obtained by using the weighted balanced loss function," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 850-854, April.
  2. Alexandru V. Asimit & Raluca Vernic & Riċardas Zitikis, 2013. "Evaluating Risk Measures and Capital Allocations Based on Multi-Losses Driven by a Heavy-Tailed Background Risk: The Multivariate Pareto-II Model," Risks, MDPI, vol. 1(1), pages 1-20, March.
  3. Hurlimann, Werner, 1995. "Predictive stop-loss premiums and Student's t-distribution," Insurance: Mathematics and Economics, Elsevier, vol. 16(2), pages 151-159, May.
  4. 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.
  5. Pan, Maolin & Wang, Rongming & Wu, Xianyi, 2008. "On the consistency of credibility premiums regarding Esscher principle," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 119-126, February.
  6. Emilio Gómez-Déniz & José María Sarabia & Enrique Calderín-Ojeda, 2019. "Ruin Probability Functions and Severity of Ruin as a Statistical Decision Problem," Risks, MDPI, vol. 7(2), pages 1-16, June.
  7. 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.
  8. Emilio Déniz & José Sarabia & F. Vázquez Polo, 2009. "Robust Bayesian bonus-malus premiums under the conditional specification model," Statistical Papers, Springer, vol. 50(3), pages 465-480, June.
  9. A.Hernández-Bastida & M.P. Fernández-Sánchez & E. Gómez-Deniz, 2007. "Bayesian Analysis Of The Compound Collective Model; The Variance Premium Principle With Exponential Poisson And Gamma-Gamma Distributions," FEG Working Paper Series 07/02, Faculty of Economics and Business (University of Granada).
  10. Ojeda, Enrique Calderín & Déniz, Emilio Gómez & Cabrera Ortega, Ignacio J., 2007. "Bayesian local robustness under weighted squared-error loss function incorporating unimodality," Statistics & Probability Letters, Elsevier, vol. 77(1), pages 69-74, January.
  11. 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.
  12. Furman, Edward & Zitikis, Ricardas, 2008. "Weighted risk capital allocations," Insurance: Mathematics and Economics, Elsevier, vol. 43(2), pages 263-269, October.
  13. V'ictor Blanco & Jos'e M. P'erez-S'anchez, 2015. "On the aggregation of experts' information in Bonus-Malus systems," Papers 1511.03876, arXiv.org, revised Nov 2016.
  14. Emilio Gómez-Déniz & Enrique Calderín-Ojeda, 2018. "Multivariate Credibility in Bonus-Malus Systems Distinguishing between Different Types of Claims," Risks, MDPI, vol. 6(2), pages 1-11, April.
  15. Furman, Edward & Zitikis, Ricardas, 2008. "Weighted premium calculation principles," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 459-465, February.
  16. Ren Jiandong & Zitikis Ricardas, 2017. "CMPH: a multivariate phase-type aggregate loss distribution," Dependence Modeling, De Gruyter, vol. 5(1), pages 304-315, December.
  17. Makov, Udi E., 1995. "Loss robustness via Fisher-weighted squared-error loss function," Insurance: Mathematics and Economics, Elsevier, vol. 16(1), pages 1-6, April.
  18. Emilio Gomez-deniz & Francisco Vazquez-polo, 2005. "Modelling uncertainty in insurance Bonus-Malus premium principles by using a Bayesian robustness approach," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(7), pages 771-784.
  19. Frédéric Godin & Van Son Lai & Denis-Alexandre Trottier, 2019. "A general class of distortion operators for pricing contingent claims with applications to CAT bonds," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2019(7), pages 558-584, August.
  20. 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.
  21. Urbina, Jilber & Guillén, Montserrat, 2013. "An application of capital allocation principles to operational risk," Working Papers 2072/222201, Universitat Rovira i Virgili, Department of Economics.
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. Tzougas, George & Vrontos, Spyridon & Frangos, Nicholas, 2018. "Bonus-Malus systems with two component mixture models arising from different parametric families," LSE Research Online Documents on Economics 84301, London School of Economics and Political Science, LSE Library.
  27. Hernández-Bastida, Agustin & Fernández-Sánchez, Mª Pilar & Gómez-Déniz, Emilio, 2011. "A Desirable Aspect in the Variance Premium in a Collective Risk Model/Un aspecto deseable de la Prima Varianza en el Modelo Colectivo de Riesgo," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 29, pages 395(18.)-39, Abril.
  28. Emilio Gómez-Déniz & Enrique Calderín-Ojeda, 2020. "A Survey of the Individual Claim Size and Other Risk Factors Using Credibility Bonus-Malus Premiums," Risks, MDPI, vol. 8(1), pages 1-19, February.
  29. Ali Karimnezhad & Ahmad Parsian, 2014. "Robust Bayesian methodology with applications in credibility premium derivation and future claim size prediction," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 98(3), pages 287-303, July.
  30. Hernández Solís, Montserrat & Lozano Colomer, Cristina & Vilar Zanón, José Luis, 2013. "La prima de riesgo recargada en un seguro de rentas: tarificación mediante el uso de una medida de riesgo coherente || The Risk Recharged Premium for a Survival Life Insurance: Recharged Premium throu," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 15(1), pages 151-167, June.
  31. Gómez-Déniz, E., 2016. "Bivariate credibility bonus–malus premiums distinguishing between two types of claims," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 117-124.
  32. Tzougas, George & di Cerchiara, Alice Pignatelli, 2021. "Bivariate mixed Poisson regression models with varying dispersion," LSE Research Online Documents on Economics 114327, London School of Economics and Political Science, LSE Library.
  33. 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.
  34. Kim, Joseph H.T. & Jeon, Yongho, 2013. "Credibility theory based on trimming," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 36-47.
  35. Kamps, Udo, 1996. "On a renewal process average," Stochastic Processes and their Applications, Elsevier, vol. 62(2), pages 347-349, July.
  36. Agustin Hernandez Bastida & Emilio Gomez Deniz & Jose Maria Perez Sanchez, 2009. "Bayesian robustness of the compound Poisson distribution under bidimensional prior: an application to the collective risk model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(8), pages 853-869.
  37. Agustín Hernández-Bastida & M. Fernández-Sánchez, 2012. "A Sarmanov family with beta and gamma marginal distributions: an application to the Bayes premium in a collective risk model," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 21(4), pages 391-409, November.
  38. 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.
  39. .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.
  40. Villar Frexedas, Oscar & Vayá, Esther, 2005. "Financial Contagion between Economies: an Exploratory Spatial Analysis/Contagio financiero entre economías: Un análisis exploratorio espacial," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 23, pages 151-165, Abril.
  41. 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.
  42. E. Gómez-Déniz & F. Vázquez-Polo & J. Pérez, 2006. "A note on computing bonus-malus insurance premiums using a hierarchical bayesian framework," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(2), pages 345-359, September.
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