The construction of a quadratic predictor of the discounted renewal claims with dependence

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Abstract

In this paper we propose a quadratic predictor of the compound discounted renewal aggregate claims when taking into account dependence within the inter-occurrence times. We compare the accuracy of the proposed quadratic predictor to the simulated value of that sum, by using specific mixture of exponential distributions to define the dependence structure between the inter-occurrence times.

Original languageEnglish
Pages (from-to)25-37
Number of pages13
JournalRisk and Decision Analysis
Volume8
Issue number1-2
DOIs
Publication statusPublished - 2020

Keywords

  • Archimedean Copula
  • Discounted compound renewal aggregate sums
  • moments
  • quadratic predictor
  • random interest rate

ASJC Scopus subject areas

  • Statistics and Probability
  • Finance
  • Economics and Econometrics
  • Statistics, Probability and Uncertainty

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