Abstract
Consider a portfolio of insurance policies where the mean frequency of claims for each policy may vary. This heterogeneity of risk in the portfolio may be modeled as a distribution function F(λ) on the mean frequency λ. This paper will present nonparametric tests of hypothesis about F(λ), given the observed claim frequencies N i for i = 1,…, T from a portfolio with T policies. Throughout the discussion we will assume that N i has a mixed Poisson distribution with a mixing distribution F(λ). The paper will characterize those statistical parameters of F(λ) that are estimable and it will also present nonparametric estimators of these parameters. The paper will also present some tests for the assumption that N i has a mixed Poisson distribution.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
