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actuar (version 3.1-4)

Actuarial Functions and Heavy Tailed Distributions

Description

Functions and data sets for actuarial science: modeling of loss distributions; risk theory and ruin theory; simulation of compound models, discrete mixtures and compound hierarchical models; credibility theory. Support for many additional probability distributions to model insurance loss size and frequency: 23 continuous heavy tailed distributions; the Poisson-inverse Gaussian discrete distribution; zero-truncated and zero-modified extensions of the standard discrete distributions. Support for phase-type distributions commonly used to compute ruin probabilities.

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Version

Install

install.packages('actuar')

Monthly Downloads

11,161

Version

3.1-4

License

GPL (>= 2)

Maintainer

Vincent Goulet

Last Published

May 31st, 2021

Functions in actuar (3.1-4)

FellerPareto

The Feller Pareto Distribution
GeneralizedPareto

The Generalized Pareto Distribution
Extract.grouped.data

Extract or Replace Parts of a Grouped Data Object
CTE

Conditional Tail Expectation
BetaMoments

Raw and Limited Moments of the Beta Distribution
Burr

The Burr Distribution
GammaSupp

Moments and Moment Generating Function of the Gamma Distribution
GeneralizedBeta

The Generalized Beta Distribution
ChisqSupp

Moments and Moment Generating Function of the (non-central) Chi-Squared Distribution
ExponentialSupp

Moments and Moment Generating Function of the Exponential Distribution
InverseGaussian

The Inverse Gaussian Distribution
InverseParalogistic

The Inverse Paralogistic Distribution
InverseBurr

The Inverse Burr Distribution
Pareto3

The Pareto III Distribution
Pareto2

The Pareto II Distribution
Gumbel

The Gumbel Distribution
InverseExponential

The Inverse Exponential Distribution
InverseGamma

The Inverse Gamma Distribution
InversePareto

The Inverse Pareto Distribution
UniformSupp

Moments and Moment Generating Function of the Uniform Distribution
LognormalMoments

Raw and Limited Moments of the Lognormal Distribution
NormalSupp

Moments and Moment generating function of the Normal Distribution
TransformedBeta

The Transformed Beta Distribution
InverseTransformedGamma

The Inverse Transformed Gamma Distribution
InverseWeibull

The Inverse Weibull Distribution
SingleParameterPareto

The Single-parameter Pareto Distribution
PoissonInverseGaussian

The Poisson-Inverse Gaussian Distribution
TransformedGamma

The Transformed Gamma Distribution
VaR

Value at Risk
PhaseType

The Phase-type Distribution
Pareto4

The Pareto IV Distribution
WeibullMoments

Raw and Limited Moments of the Weibull Distribution
Loggamma

The Loggamma Distribution
ZeroTruncatedBinomial

The Zero-Truncated Binomial Distribution
Paralogistic

The Paralogistic Distribution
Loglogistic

The Loglogistic Distribution
ZeroTruncatedNegativeBinomial

The Zero-Truncated Negative Binomial Distribution
Logarithmic

The Logarithmic Distribution
ZeroModifiedBinomial

The Zero-Modified Binomial Distribution
ZeroTruncatedPoisson

The Zero-Truncated Poisson Distribution
ZeroModifiedNegativeBinomial

The Zero-Modified Negative Binomial Distribution
emm

Empirical Moments
grouped.data

Grouped data
hachemeister

Hachemeister Data Set
ZeroTruncatedGeometric

The Zero-Truncated Geometric Distribution
simul

Simulation from Compound Hierarchical Models
simul.summaries

Summary Statistics of a Portfolio
ruin

Probability of Ruin
mean.grouped.data

Arithmetic Mean
gdental

Grouped Dental Claims Data Set
coverage

Density and Cumulative Distribution Function for Modified Data
cm

Credibility Models
severity

Manipulation of Individual Claim Amounts
Pareto

The Pareto Distribution
ZeroModifiedGeometric

The Zero-Modified Geometric Distribution
ZeroModifiedPoisson

The Zero-Modified Poisson Distribution
betaint

The “Beta Integral”
ogive

Ogive for Grouped Data
hist.grouped.data

Histogram for Grouped Data
adjCoef

Adjustment Coefficient
mde

Minimum Distance Estimation
quantile.aggregateDist

Quantiles of Aggregate Claim Amount Distribution
ZeroModifiedLogarithmic

The Zero-Modified Logarithmic Distribution
rcompound

Simulation from Compound Models
quantile.grouped.data

Quantiles of Grouped Data
dental

Individual Dental Claims Data Set
rmixture

Simulation from Discrete Mixtures
discretize

Discretization of a Continuous Distribution
unroll

Display a Two-Dimension Version of a Matrix of Vectors
aggregateDist

Aggregate Claim Amount Distribution
elev

Empirical Limited Expected Value