Distributions Used in Actuarial Science
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.
exponential mortality rate
power mortality rate
de Moivre's mortality rate
Insurance Claim Frequency Distributions