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Volumn 24, Issue 1-2, 1999, Pages 23-29

Credibility evaluation for the exponential dispersion family

Author keywords

Credibility formula; Exponential dispersion family; Fair premium; Fisher information; Maximum entropy; Optimal credibility factor

Indexed keywords


EID: 0348134990     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6687(98)00035-3     Document Type: Article
Times cited : (24)

References (34)
  • 1
    • 0001783734 scopus 로고
    • Credibility procedures, LaPlaces's generalization of Bayes' rule, and the combination of collateral knowledge with observed data
    • - 23
    • Bailey A.L. Credibility procedures, LaPlaces's generalization of Bayes' rule, and the combination of collateral knowledge with observed data. Proceedings of the Casualty Actuarial Society. 37:1950;7 - 23.
    • (1950) Proceedings of the Casualty Actuarial Society , vol.37 , pp. 7
    • Bailey, A.L.1
  • 3
    • 0000832218 scopus 로고
    • Reproducibility and natural exponential families with power variance functions
    • Bar-Lev S.K., Enis P. Reproducibility and natural exponential families with power variance functions. The Annals of Statistics. 14:1986;1507-1522.
    • (1986) The Annals of Statistics , vol.14 , pp. 1507-1522
    • Bar-Lev, S.K.1    Enis, P.2
  • 4
    • 84958430328 scopus 로고
    • Experience rating and probability
    • Bühlmann H. Experience rating and probability. The Astin Bulletin. 4:1967;199-207.
    • (1967) The Astin Bulletin , vol.4 , pp. 199-207
    • Bühlmann, H.1
  • 6
    • 84974325883 scopus 로고
    • A teacher's remark on exact credibility
    • Gerber H.U. A teacher's remark on exact credibility. Astin Bulletin. 25(2):1995;189-192.
    • (1995) Astin Bulletin , vol.25 , Issue.2 , pp. 189-192
    • Gerber, H.U.1
  • 7
    • 0002364889 scopus 로고
    • On implications of credible means being exact Bayesian
    • Goel, P.K., 1982. On implications of credible means being exact Bayesian. Scandinavian Actuarial Journal 41-46.
    • (1982) Scandinavian Actuarial Journal , pp. 41-46
    • Goel, P.K.1
  • 9
    • 0002240493 scopus 로고
    • Credibility: The Bayesian model versus Bühlmann's model
    • Herzog T.N. Credibility: The Bayesian model versus Bühlmann's model. Transactions of the Society of Actuaries. 41:1990;43-88.
    • (1990) Transactions of the Society of Actuaries , vol.41 , pp. 43-88
    • Herzog, T.N.1
  • 12
    • 84974173062 scopus 로고
    • Credible means are exact Bayesian for exponential families
    • Jewell W.S. Credible means are exact Bayesian for exponential families. Astin Bulletin. 8:1974;77-90.
    • (1974) Astin Bulletin. , vol.8 , pp. 77-90
    • Jewell, W.S.1
  • 13
    • 0000820539 scopus 로고
    • Some properties of exponential dispersion models
    • Jorgensen B. Some properties of exponential dispersion models. Scandinavian Journal of Statistics. 13:1986;187-198.
    • (1986) Scandinavian Journal of Statistics , vol.13 , pp. 187-198
    • Jorgensen, B.1
  • 15
    • 0002845625 scopus 로고
    • Exponential dispersion models and extensions: A review
    • Jorgensen B. Exponential dispersion models and extensions: A review. Internation Statistical Review. 60:1992;5-20.
    • (1992) Internation Statistical Review , vol.60 , pp. 5-20
    • Jorgensen, B.1
  • 19
    • 0043003960 scopus 로고
    • Characterisation des fonction variances de Seshadri de families exponentielles sur R
    • Kokonendji C.C. Characterisation des fonction variances de Seshadri de families exponentielles sur R. C.R. Acad. Sci. Paris Ser. I Math. 314:1992;1063-1068.
    • (1992) C.R. Acad. Sci. Paris Ser. I Math. , vol.314 , pp. 1063-1068
    • Kokonendji, C.C.1
  • 23
    • 0002757787 scopus 로고
    • Natural real exponential families with cubic variance functions
    • Letac G., Mora M. Natural real exponential families with cubic variance functions. The Annals of Statistics. 18:1990;1-37.
    • (1990) The Annals of Statistics , vol.18 , pp. 1-37
    • Letac, G.1    Mora, M.2
  • 26
    • 1542686303 scopus 로고    scopus 로고
    • Bayesian Methods in Actuarial Science
    • Makov U.E., Smith A.F.M., Liu Y.-H. Bayesian Methods in Actuarial Science. The Statistician. 45(4):1996;503-515.
    • (1996) The Statistician , vol.45 , Issue.4 , pp. 503-515
    • Makov, U.E.1    Smith, A.F.M.2    Liu, Y.-H.3
  • 28
    • 0039912031 scopus 로고
    • Classification des fonctions variance cubiques des families exponentielles sur R
    • Mora M. Classification des fonctions variance cubiques des families exponentielles sur R. C.R. Acad. Sci. Paris Ser. I Math. 302:1986;587-590.
    • (1986) C.R. Acad. Sci. Paris Ser. I Math. , vol.302 , pp. 587-590
    • Mora, M.1
  • 29
    • 0002233396 scopus 로고
    • Natural exponential families with quadratic variance functions
    • Morris C.N. Natural exponential families with quadratic variance functions. The Annals of Statistics. 10:1982;65-80.
    • (1982) The Annals of Statistics , vol.10 , pp. 65-80
    • Morris, C.N.1
  • 30
    • 0000405155 scopus 로고
    • Natural exponential families with quadratic variance functions: Statistical theory
    • Morris C.N. Natural exponential families with quadratic variance functions: Statistical theory. The Annals of Statistics. 11:1983;515-529.
    • (1983) The Annals of Statistics , vol.11 , pp. 515-529
    • Morris, C.N.1
  • 32
    • 84976040852 scopus 로고
    • Convergence of Bayes and credibility premium
    • Schmidt K.D. Convergence of Bayes and credibility premium. The Astin Bulletin. 20:1980;167-172.
    • (1980) The Astin Bulletin , vol.20 , pp. 167-172
    • Schmidt, K.D.1
  • 33
    • 84988106736 scopus 로고
    • Finite mixtures of natural exponential families
    • Seshadri V. Finite mixtures of natural exponential families. Canadian Journal of Statistics. 19:1991;437-445.
    • (1991) Canadian Journal of Statistics , vol.19 , pp. 437-445
    • Seshadri, V.1
  • 34
    • 0002801707 scopus 로고
    • An index which distinguishes between some important exponential families
    • In: Ghosh, J.K., Roy, J. (Eds.), Statistics: Applications and New Directions Indian Statistical Institute
    • Tweedie, M.C.K., 1984. An index which distinguishes between some important exponential families. In: Ghosh, J.K., Roy, J. (Eds.), Statistics: Applications and New Directions. Proceedings of the Indian Statistical Golden Jubilee International Conference, Indian Statistical Institute, pp. 579-604.
    • (1984) Proceedings of the Indian Statistical Golden Jubilee International Conference , pp. 579-604
    • Tweedie, M.C.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.