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Volumn 48, Issue 2, 2011, Pages 226-236

Bayesian multivariate Poisson models for insurance ratemaking

Author keywords

Automobile insurance; Gibbs sampling; MCMC inference; Multivariate Poisson regression models; Zero inflated models

Indexed keywords


EID: 78650604560     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.insmatheco.2010.11.001     Document Type: Article
Times cited : (73)

References (29)
  • 1
    • 4344659679 scopus 로고    scopus 로고
    • A bivariate Poisson count data model using conditional probabilities
    • Berkhout P., Plug E. A bivariate Poisson count data model using conditional probabilities. Statistica Neerlandica 2004, 58:349-364.
    • (2004) Statistica Neerlandica , vol.58 , pp. 349-364
    • Berkhout, P.1    Plug, E.2
  • 2
    • 58249086923 scopus 로고    scopus 로고
    • A priori ratemaking using bivariate Poisson regression models
    • Bermúdez L. A priori ratemaking using bivariate Poisson regression models. Insurance: Mathematics and Economics 2009, 44(1):135-141.
    • (2009) Insurance: Mathematics and Economics , vol.44 , Issue.1 , pp. 135-141
    • Bermúdez, L.1
  • 4
    • 0242339723 scopus 로고    scopus 로고
    • Time-varying credibility for frequency risk models: estimation and tests for autoregressive specification on the random effect
    • Bolancé C., Guillén M., Pinquet J. Time-varying credibility for frequency risk models: estimation and tests for autoregressive specification on the random effect. Insurance: Mathematics and Economics 2003, 33(2):273-282.
    • (2003) Insurance: Mathematics and Economics , vol.33 , Issue.2 , pp. 273-282
    • Bolancé, C.1    Guillén, M.2    Pinquet, J.3
  • 6
    • 35348829339 scopus 로고    scopus 로고
    • Fixed versus random effects in Poisson regression models for claim counts: a case study with motor insurance
    • Boucher J.-Ph., Denuit M. Fixed versus random effects in Poisson regression models for claim counts: a case study with motor insurance. ASTIN Bulletin 2006, 36(1):285-301.
    • (2006) ASTIN Bulletin , vol.36 , Issue.1 , pp. 285-301
    • Boucher, J.-P.1    Denuit, M.2
  • 7
    • 40949109717 scopus 로고    scopus 로고
    • Credibility premiums for the zero inflated Poisson model and new hunger for bonus interpretation
    • Boucher J.-Ph., Denuit M. Credibility premiums for the zero inflated Poisson model and new hunger for bonus interpretation. Insurance: Mathematics and Economics 2008, 42(2):727-735.
    • (2008) Insurance: Mathematics and Economics , vol.42 , Issue.2 , pp. 727-735
    • Boucher, J.-P.1    Denuit, M.2
  • 8
    • 58249088669 scopus 로고    scopus 로고
    • Risk classification for claims counts: a comparative analysis of various zero-inflated mixed Poisson and Hurdle models
    • Boucher J.-Ph., Denuit M., Guillén M. Risk classification for claims counts: a comparative analysis of various zero-inflated mixed Poisson and Hurdle models. North American Actuarial Journal 2007, 11(4):110-131.
    • (2007) North American Actuarial Journal , vol.11 , Issue.4 , pp. 110-131
    • Boucher, J.-P.1    Denuit, M.2    Guillén, M.3
  • 9
    • 70449396850 scopus 로고    scopus 로고
    • Number of accidents or number of claims? An approach with zero-inflated Poisson models for panel data
    • Boucher J.-Ph., Denuit M., Guillén M. Number of accidents or number of claims? An approach with zero-inflated Poisson models for panel data. Journal of Risk and Insurance 2009, 76(4):821-846.
    • (2009) Journal of Risk and Insurance , vol.76 , Issue.4 , pp. 821-846
    • Boucher, J.-P.1    Denuit, M.2    Guillén, M.3
  • 10
    • 0348157108 scopus 로고    scopus 로고
    • Bonus-malus scales in segmented tariffs with stochastic migration between segments
    • Brouhns N., Denuit M., Guillén M., Pinquet J. Bonus-malus scales in segmented tariffs with stochastic migration between segments. Journal of Risk and Insurance 2003, 70(4):577-599.
    • (2003) Journal of Risk and Insurance , vol.70 , Issue.4 , pp. 577-599
    • Brouhns, N.1    Denuit, M.2    Guillén, M.3    Pinquet, J.4
  • 11
    • 0003121342 scopus 로고    scopus 로고
    • Regression Analysis of Count Data
    • Cambridge University Press
    • Cameron A.C., Trivedi P.K. Regression Analysis of Count Data. Econometric Society Monograph 1998, vol. 30. Cambridge University Press.
    • (1998) Econometric Society Monograph , vol.30
    • Cameron, A.C.1    Trivedi, P.K.2
  • 13
    • 0040606893 scopus 로고
    • Testing for overdispersion in Poisson and binomial regression models
    • Dean C.B. Testing for overdispersion in Poisson and binomial regression models. Journal of the American Statistical Association 1992, 87(418):451-457.
    • (1992) Journal of the American Statistical Association , vol.87 , Issue.418 , pp. 451-457
    • Dean, C.B.1
  • 15
    • 78049264576 scopus 로고    scopus 로고
    • Actuarial applications of a hierarchical insurance claims model
    • Frees E.W., Shi P., Valdez E.A. Actuarial applications of a hierarchical insurance claims model. ASTIN Bulletin 2009, 39(1):165-197.
    • (2009) ASTIN Bulletin , vol.39 , Issue.1 , pp. 165-197
    • Frees, E.W.1    Shi, P.2    Valdez, E.A.3
  • 18
    • 26644439056 scopus 로고    scopus 로고
    • Multivariate Poisson regression with full covariance structure
    • Karlis D., Meligkotsidou L. Multivariate Poisson regression with full covariance structure. Statistics and Computing 2005, 15(4):255-265.
    • (2005) Statistics and Computing , vol.15 , Issue.4 , pp. 255-265
    • Karlis, D.1    Meligkotsidou, L.2
  • 21
    • 27444442257 scopus 로고    scopus 로고
    • Bivariate Poisson and diagonal inflated bivariate Poisson regression models in R
    • Karlis D., Ntzoufras I. Bivariate Poisson and diagonal inflated bivariate Poisson regression models in R. Journal of Statistical Software 2005, 14(10):1-36.
    • (2005) Journal of Statistical Software , vol.14 , Issue.10 , pp. 1-36
    • Karlis, D.1    Ntzoufras, I.2
  • 22
    • 0033079802 scopus 로고    scopus 로고
    • Multivariate zero-inflated Poisson models and their applications
    • Li J.C., Park J., Kim K., Brinkley P.A., Peterson J.P. Multivariate zero-inflated Poisson models and their applications. Technometrics 1999, 41:29-38.
    • (1999) Technometrics , vol.41 , pp. 29-38
    • Li, J.C.1    Park, J.2    Kim, K.3    Brinkley, P.A.4    Peterson, J.P.5
  • 24
    • 85011486655 scopus 로고    scopus 로고
    • Long-range contagion in automobile insurance data: estimation and implications for experience rating
    • Pinquet J., Guillén M., Bolancé C. Long-range contagion in automobile insurance data: estimation and implications for experience rating. ASTIN Bulletin 2001, 31(2):337-348.
    • (2001) ASTIN Bulletin , vol.31 , Issue.2 , pp. 337-348
    • Pinquet, J.1    Guillén, M.2    Bolancé, C.3
  • 27
    • 0033458332 scopus 로고    scopus 로고
    • A general method to estimate correlated discrete random variables
    • Van Ophem H. A general method to estimate correlated discrete random variables. Econometric Theory 1999, 15:228-237.
    • (1999) Econometric Theory , vol.15 , pp. 228-237
    • Van Ophem, H.1
  • 28
    • 0037988740 scopus 로고    scopus 로고
    • A bivariate zero-inflated Poisson regression model to analyze occupational injuries
    • Wang K., Lee A., Yau K., Carrivick P. A bivariate zero-inflated Poisson regression model to analyze occupational injuries. Accident Analysis & Prevention 2003, 35:625-629.
    • (2003) Accident Analysis & Prevention , vol.35 , pp. 625-629
    • Wang, K.1    Lee, A.2    Yau, K.3    Carrivick, P.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.