## Approximate evaluation of the distribution of aggregate claims

- R. E. BEARD, T. PENTIKAINEN, E. PESONEN
- Risk Theory. Chapman and Hall, London…
- 1984

The normal power (NP) approximation essentially approximates the random variable X as the quadratic polynomial X x Y+y(Y-\)/6 where X = (X-fi)/a is the standardized variable, Y ~ N(0, 1), and /z, a y are the mean, variance skewness of X respectively. The coefficients of this polynomial are not determined by equating the lower moments. It is shown that… (More)

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