CramerLundberg-class: A formal S4 class CramerLundberg

Description Details Slots References See Also

Description

A formal S4 class representation of classical Cramer-Lundberg model.

Details

The model is defined as follows:

X(t) = u + ct - ∑_{i=1}^{N(t)} Y_i,

where u is the initial capital (initial_capital), c is the premium rate (premium_rate), N(t) is the Poisson process with intensity λ (claim_poisson_arrival_rate), Y_i are iid claim sizes (claim_size_generator and claim_size_parameters ).

Objects of class can be created only by using the constructor CramerLundberg.

Slots

initial_capital

a length one numeric non-negative vector specifying an initial capital.

premium_rate

a length one numeric non-negative vector specifying a premium rate.

claim_poisson_arrival_rate

a length one numeric positive vector specifying the rate of the Poisson process of claims' arrivals.

claim_size_generator

a function indicating the random generator of claims' sizes.

claim_size_parameters

a named list containing parameters for the random generator of claims' sizes.

References

Albrecher H., Asmussen A. Ruin Probabilities. World Scientific, 2010.

See Also

CramerLundberg


ruin documentation built on May 2, 2019, 7:31 a.m.