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Yıl 2014, Cilt: 43 Sayı: 6, 1047 - 1061, 01.12.2014

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Computing credibility Bonus-Malus premiums using the total claim amount distribution

Yıl 2014, Cilt: 43 Sayı: 6, 1047 - 1061, 01.12.2014

Öz

Assuming a bivariate prior distribution for the two risk parameters
appearing in the distribution of the total claim amount when the primary distribution is geometric and the secondary one is exponential, we
derive Bayesian premiums which can be written as credibility formulas. These expressions can be used to compute bonus-malus premiums
based on the distribution of the total claim amount but not for the
claims which produce the amounts. The methodology proposed is easy
to perform, and the maximum likelihood method is used to compute
the bonus-malus premiums for a real set of automobile insurance data,
one that is well known in actuarial literature

Kaynakça

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Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm İstatistik
Yazarlar

Emilio Gómez-déniz Bu kişi benim

Agustín Hernández-bastida Bu kişi benim

M. Pilar Fernández-sánchez Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 43 Sayı: 6

Kaynak Göster

APA Gómez-déniz, E., Hernández-bastida, A., & Fernández-sánchez, M. P. (2014). Computing credibility Bonus-Malus premiums using the total claim amount distribution. Hacettepe Journal of Mathematics and Statistics, 43(6), 1047-1061.
AMA Gómez-déniz E, Hernández-bastida A, Fernández-sánchez MP. Computing credibility Bonus-Malus premiums using the total claim amount distribution. Hacettepe Journal of Mathematics and Statistics. Aralık 2014;43(6):1047-1061.
Chicago Gómez-déniz, Emilio, Agustín Hernández-bastida, ve M. Pilar Fernández-sánchez. “Computing Credibility Bonus-Malus Premiums Using the Total Claim Amount Distribution”. Hacettepe Journal of Mathematics and Statistics 43, sy. 6 (Aralık 2014): 1047-61.
EndNote Gómez-déniz E, Hernández-bastida A, Fernández-sánchez MP (01 Aralık 2014) Computing credibility Bonus-Malus premiums using the total claim amount distribution. Hacettepe Journal of Mathematics and Statistics 43 6 1047–1061.
IEEE E. Gómez-déniz, A. Hernández-bastida, ve M. P. Fernández-sánchez, “Computing credibility Bonus-Malus premiums using the total claim amount distribution”, Hacettepe Journal of Mathematics and Statistics, c. 43, sy. 6, ss. 1047–1061, 2014.
ISNAD Gómez-déniz, Emilio vd. “Computing Credibility Bonus-Malus Premiums Using the Total Claim Amount Distribution”. Hacettepe Journal of Mathematics and Statistics 43/6 (Aralık 2014), 1047-1061.
JAMA Gómez-déniz E, Hernández-bastida A, Fernández-sánchez MP. Computing credibility Bonus-Malus premiums using the total claim amount distribution. Hacettepe Journal of Mathematics and Statistics. 2014;43:1047–1061.
MLA Gómez-déniz, Emilio vd. “Computing Credibility Bonus-Malus Premiums Using the Total Claim Amount Distribution”. Hacettepe Journal of Mathematics and Statistics, c. 43, sy. 6, 2014, ss. 1047-61.
Vancouver Gómez-déniz E, Hernández-bastida A, Fernández-sánchez MP. Computing credibility Bonus-Malus premiums using the total claim amount distribution. Hacettepe Journal of Mathematics and Statistics. 2014;43(6):1047-61.