Research output: Contribution to journal › Article › peer-review
Using quantile regression for rate-making. / Kudryavtsev, Andrey A.
In: Insurance: Mathematics and Economics, Vol. 45, No. 2, 10.2009, p. 296-304.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Using quantile regression for rate-making
AU - Kudryavtsev, Andrey A.
PY - 2009/10
Y1 - 2009/10
N2 - Regression models are popular tools for rate-making in the framework of heterogeneous insurance portfolios; however, the traditional regression methods have some disadvantages particularly their sensitivity to the assumptions which significantly restrict the area of their applications. This paper is devoted to an alternative approach-quantile regression. It is free of some disadvantages of the traditional models. The quality of estimators for the approach described is approximately the same as or sometimes better than that for the traditional regression methods. Moreover, the quantile regression is consistent with the idea of using the distribution quantile for rate-making. This paper provides detailed comparisons between the approaches and it gives the practical example of using the new methodology.
AB - Regression models are popular tools for rate-making in the framework of heterogeneous insurance portfolios; however, the traditional regression methods have some disadvantages particularly their sensitivity to the assumptions which significantly restrict the area of their applications. This paper is devoted to an alternative approach-quantile regression. It is free of some disadvantages of the traditional models. The quality of estimators for the approach described is approximately the same as or sometimes better than that for the traditional regression methods. Moreover, the quantile regression is consistent with the idea of using the distribution quantile for rate-making. This paper provides detailed comparisons between the approaches and it gives the practical example of using the new methodology.
KW - Confidence band
KW - Generalized linear models
KW - Quantile approach to the net premium rate-making
KW - Quantile regression
KW - Rate-making
KW - Regression models
UR - http://www.scopus.com/inward/record.url?scp=70349336684&partnerID=8YFLogxK
U2 - 10.1016/j.insmatheco.2009.07.010
DO - 10.1016/j.insmatheco.2009.07.010
M3 - Article
AN - SCOPUS:70349336684
VL - 45
SP - 296
EP - 304
JO - Insurance: Mathematics and Economics
JF - Insurance: Mathematics and Economics
SN - 0167-6687
IS - 2
ER -
ID: 37162460