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Efficient simulation using saddlepoint approximation for aggregate losses with large frequencies
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 Title & Authors
Efficient simulation using saddlepoint approximation for aggregate losses with large frequencies
Cho, Jae-Rin; Ha, Hyung-Tae;
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 Abstract
Aggregate claim amounts with a large claim frequency represent a major concern to automobile insurance companies. In this paper, we show that a new hybrid method to combine the analytical saddlepoint approximation and Monte Carlo simulation can be an efficient computational method. We provide numerical comparisons between the hybrid method and the usual Monte Carlo simulation.
 Keywords
large claim frequency;aggregate claim amount;saddlepoint approximation;simulation;
 Language
English
 Cited by
 References
1.
Daniels HE (1954). Saddlepoint approximations in statistics, Annals of Mathematical Statistics, 25, 631-650. crossref(new window)

2.
Embrechts P, Jensen JL, Maejima M, and Teugels JL (1985). Approximations for compound Poisson and Plya processes, Advances in Applied Probability, 17, 623-637. crossref(new window)

3.
Gatto R (2010). A saddlepoint approximation to the distribution of inhomogeneous discounted compound Poisson processes, Methodology and Computing in Applied Probability, 12, 533-551. crossref(new window)

4.
Jensen JL (1991). Saddlepoint approximations to the distribution of the total claim amount in some recent risk models, Scandinavian Actuarial Journal, 1991, 154-168. crossref(new window)

5.
Lugannani R and Rice SO (1980). Saddlepoint approximation for the distribution of the sum of independent random variables, Advances in Applied Probability, 12, 475-490. crossref(new window)

6.
McLeish D (2014). Simulating random variables using moment-generating functions and the saddle-point approximation, Journal of Statistical Computation and Simulation, 84, 324-334. crossref(new window)