Development pattern and prediction error for the stochastic Bornhuetter-Ferguson claims reserving method (Q2890516)

From MaRDI portal





scientific article; zbMATH DE number 6044902
Language Label Description Also known as
English
Development pattern and prediction error for the stochastic Bornhuetter-Ferguson claims reserving method
scientific article; zbMATH DE number 6044902

    Statements

    0 references
    0 references
    0 references
    11 June 2012
    0 references
    insurance mathematics
    0 references
    actuarial mathematics
    0 references
    loss reserving
    0 references
    development pattern
    0 references
    Bornhuetter-Ferguson method
    0 references
    Development pattern and prediction error for the stochastic Bornhuetter-Ferguson claims reserving method (English)
    0 references
    From authors' abstract: ``We investigate the question how the development pattern in the Bornhuetter-Ferguson method should be estimated and derive the corresponding conditional mean square error of prediction (MSEP) of the ultimate claim prediction. [...] First we consider distributional models and derive estimators (maximum likelihood) for the development pattern taking all relevant information into account. Morevover, we suggest new estimators of the correlation matrix of these estimators and new estimators of the conditional MSEP. [\dots] The methodology is illustrated at two numerical examples.''
    0 references

    Identifiers