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actuar (version 2.3-1)

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 amounts and loss frequency: 19 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

2.3-1

License

GPL (>= 2)

Maintainer

Vincent Goulet

Last Published

March 19th, 2018

Functions in actuar (2.3-1)

GeneralizedPareto

The Generalized Pareto Distribution
CTE

Conditional Tail Expectation
ChisqSupp

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

The Gumbel Distribution
BetaMoments

Raw and Limited Moments of the Beta Distribution
Burr

The Burr Distribution
Extract.grouped.data

Extract or Replace Parts of a Grouped Data Object
ExponentialSupp

Moments and Moment Generating Function of the Exponential Distribution
GeneralizedBeta

The Generalized Beta Distribution
GammaSupp

Moments and Moment Generating Function of the Gamma Distribution
InverseGamma

The Inverse Gamma Distribution
InverseGaussian

The Inverse Gaussian Distribution
Loggamma

The Loggamma Distribution
InverseWeibull

The Inverse Weibull Distribution
Logarithmic

The Logarithmic Distribution
InverseTransformedGamma

The Inverse Transformed Gamma Distribution
InverseParalogistic

The Inverse Paralogistic Distribution
InverseBurr

The Inverse Burr Distribution
InversePareto

The Inverse Pareto Distribution
InverseExponential

The Inverse Exponential Distribution
Pareto

The Pareto Distribution
Loglogistic

The Loglogistic Distribution
Paralogistic

The Paralogistic Distribution
LognormalMoments

Raw and Limited Moments of the Lognormal Distribution
SingleParameterPareto

The Single-parameter Pareto Distribution
PhaseType

The Phase-type Distribution
TransformedGamma

The Transformed Gamma Distribution
NormalSupp

Moments and Moment generating function of the Normal Distribution
PoissonInverseGaussian

The Poisson-Inverse Gaussian Distribution
TransformedBeta

The Transformed Beta Distribution
UniformSupp

Moments and Moment Generating Function of the Uniform Distribution
ZeroTruncatedBinomial

The Zero-Truncated Binomial Distribution
VaR

Value at Risk
ZeroTruncatedGeometric

The Zero-Truncated Geometric Distribution
WeibullMoments

Raw and Limited Moments of the Weibull Distribution
ZeroModifiedGeometric

The Zero-Modified Geometric Distribution
ZeroModifiedNegativeBinomial

The Zero-Modified Negative Binomial Distribution
ZeroModifiedLogarithmic

The Zero-Modified Logarithmic Distribution
ZeroModifiedBinomial

The Zero-Modified Binomial Distribution
ZeroModifiedPoisson

The Zero-Modified Poisson Distribution
ZeroTruncatedNegativeBinomial

The Zero-Truncated Negative Binomial Distribution
ZeroTruncatedPoisson

The Zero-Truncated Poisson Distribution
coverage

Density and Cumulative Distribution Function for Modified Data
adjCoef

Adjustment Coefficient
betaint

The “Beta Integral”
actuar-deprecated

Deprecated Functions in Package actuar
emm

Empirical Moments
cm

Credibility Models
dental

Individual Dental Claims Data Set
hachemeister

Hachemeister Data Set
discretize

Discretization of a Continuous Distribution
unroll

Display a Two-Dimension Version of a Matrix of Vectors
hist.grouped.data

Histogram for Grouped Data
aggregateDist

Aggregate Claim Amount Distribution
mde

Minimum Distance Estimation
simul

Simulation from Compound Hierarchical Models
gdental

Grouped Dental Claims Data Set
ruin

Probability of Ruin
mean.grouped.data

Arithmetic Mean
quantile.aggregateDist

Quantiles of Aggregate Claim Amount Distribution
severity

Manipulation of Individual Claim Amounts
elev

Empirical Limited Expected Value
ogive

Ogive for Grouped Data
grouped.data

Grouped data
quantile.grouped.data

Quantiles of Grouped Data
rcompound

Simulation from Compound Models
rmixture

Simulation from Discrete Mixtures
simul.summaries

Summary Statistics of a Portfolio