Linear predictor of the discounted renewal aggregate claims with dependent inter-occurrence times

  • F Adékambi
Keywords: Discounted compound renewal aggregate sums, moments, Archimedean copula, random interest rate, linear predictor


In this paper we derive the first two moments and a linear predictor of the compound discounted renewal aggregate claims when taking into account dependence within the inter-occurrence times. Using specific mixtures of exponential distributions to define the dependence structure between the inter-occurrence times, we compare the accuracy of the proposed linear predictor to the simulated value of that sum.

Keywords: Discounted compound renewal aggregate sums; moments; Archimedean copula; random interest rate; linear predictor


Journal Identifiers

eISSN: 1680-2179
print ISSN: 977-1680-2170-02