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.

ReferenceReference

Lifetime Distributions

GompertzMakehamDistribution exponential mortality rate

WeibullDistribution power mortality rate

UniformDistribution de Moivre's mortality rate

BenktanderGibratDistribution ▪ BenktanderWeibullDistribution

Insurance Claim Frequency Distributions

BetaBinomialDistribution ▪ BetaNegativeBinomialDistribution ▪ GeometricDistribution ▪ LogSeriesDistribution ▪ NegativeBinomialDistribution ▪ PoissonDistribution

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