Exposure curves for the beta and the uniform distributions.

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Description

An exposure curve is defined between x between 0 and 1 and represents the ratio of the limited expected value to unlimited expected value.

Usage

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ecbeta(x, shape1, shape2)
ecunif(x, min = 0, max =1)

Arguments

x

x value, percentage of damage to total loss

shape1, shape2

parameters for the beta distribution.

min, max

parameters for the uniform distribution.

Details

ecbeta, ecunif is the theoretical exposure curve function for beta and uniform distribution.

Value

A numeric value

Author(s)

Giorgio Spedicato Christophe Dutang

References

BERNEGGER, STEFAN. THE SWISS RE EXPOSURE CURVES AND THE MBBEFD DISTRIBUTION CLASS. Astin Bulletin (1997): 99.

See Also

ecmbbefd and ecMBBEFD are implemented in mbbefd-distr. See also Uniform, Beta, swissRe.

Examples

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x <- 0.2
ecbeta(x, 2, 3)
ecunif(x)