Actuarial science is in some ways older than probability and statistics itself and was in many ways instrumental in the development of probability and statistics. One of the earliest applications is to life distributions or mortality laws, in order to be able to determine life insurance fees. But there are many more uses, including claim frequency and claim size distributions.
GompertzMakehamDistribution — exponential mortality rate
WeibullDistribution — power mortality rate
UniformDistribution — de Moivre's mortality rate
PoissonDistribution — number of claims when independent and constant rate
ExponentialDistribution — size of claims when independent and constant rate
ParetoDistribution — heavy tail claim sizes, for outsized claims
SplicedDistribution — splicing together body and tail claim distribution