A COPULA REGRESSION FOR MODELING MULTIVARIATE LOSS TRIANGLES AND QUANTIFYING RESERVING VARIABILITY. Issue 1 (8th October 2013)

• Record Type: Journal Article
• Authors: Shi, Peng
• Is Part Of: ASTIN bulletin. Volume 44:Issue 1(2014)
• Page Start: 85
• Page End: 102
• Publication Date: 2013-10-08
• Subjects: Dependent loss reserving, -- copula, -- calendar year effects, -- predictive uncertainty; Insurance -- Mathematics -- Periodicals; Risk (Insurance) -- Mathematics -- Periodicals; 368.01
• DOI: 10.1017/asb.2013.23
• Languages: English
• ISSNs: 0515-0361

Abstract

Abstract: This article proposes a claims reserving model for dependent lines of business with the accommodation of association among triangles by a copula function. We show that the family of elliptical copulas is a pretty convenient choice to capture the dependencies introduced by various sources, including the common calendar year effects. To quantify the associated reserving variability, we resort to parametric bootstrapping techniques for simulating the predictive distribution of outstanding liabilities and for calculating the three components of predictive uncertainty: the model error, the process error and the estimation error. Numerical analysis is performed for a portfolio of casualty insurance from a major U.S. insurer.