ReIns1.0.14 package

Functions from "Reinsurance: Actuarial and Statistical Aspects"

Hill.kopt

Select optimal threshold for Hill estimator

Burr

The Burr distribution

cEPD

EPD estimator for right censored data

cExpQQ

Exponential quantile plot for right censored data

cgenHill

Generalised Hill estimator for right censored data

cGPD

GPD-ML estimator for right censored data

cHill

Hill estimator for right censored data

cLognormalQQ

Log-normal quantile plot for right censored data

cMoment

MOM estimator for right censored data

cParetoQQ

Pareto quantile plot for right censored data

cProb

Estimator of small exceedance probabilities and large return periods u...

cProbEPD

Estimator of small exceedance probabilities and large return periods u...

cProbGH

Estimator of small exceedance probabilities and large return periods u...

cProbGPD

Estimator of small exceedance probabilities and large return periods u...

cProbMOM

Estimator of small exceedance probabilities and large return periods u...

cQuant

Estimator of large quantiles using censored Hill

cQuantGH

Estimator of large quantiles using censored Hill

cQuantGPD

Estimator of large quantiles using censored GPD-MLE

cQuantMOM

Estimator of large quantiles using censored MOM

crHill

Hill-type estimator for the conditional EVI

crParetoQQ

Conditional Pareto quantile plot for right censored data

crSurv

Non-parametric estimator of conditional survival function

CTE

Conditional Tail Expectation

cWeibullQQ

Weibull quantile plot for right censored data

EPD

EPD estimator

EPDfit

Fit EPD using MLE

EPdist

The Extended Pareto Distribution

EVTfit

EVT fit

ExcessEPD

Estimates for excess-loss premiums using EPD estimates

ExcessGPD

Estimates for excess-loss premiums using GPD-MLE estimates

ExcessPareto

Estimates for excess-loss premiums using a Pareto model

ExcessSplice

Estimates for excess-loss premiums using splicing

ExpQQ

Exponential quantile plot

Frechet

The Frechet distribution

genHill

Generalised Hill estimator

genQQ

Generalised quantile plot

GPD

The generalised Pareto distribution

GPDfit

Fit GPD using MLE

GPDmle

GPD-ML estimator

GPDresiduals

GPD residual plot

Hill

Hill estimator

Hill2oQV

Bias-reduced MLE (Quantile view)

icHill

Hill estimator for interval censored data

icParetoQQ

Pareto quantile plot for interval censored data

KaplanMeier

Kaplan-Meier estimator

LognormalQQ

Log-normal quantile plot

LognormalQQ_der

Derivative plot of the log-normal QQ-plot

LStail

Least Squares tail estimator

MeanExcess

Mean excess function

MeanExcess_TB

Mean excess function using Turnbull estimator

MEfit

Mixed Erlang fit

Moment

Moment estimator

Pareto

The Pareto distribution

ParetoQQ

Pareto quantile plot

ParetoQQ_der

Derivative plot of the Pareto QQ-plot

pClas

Classical estimators for the CDF

pEdge

Edgeworth approximation

pGC

Gram-Charlier approximation

Prob

Weissman estimator of small exceedance probabilities and large return ...

ProbEPD

Estimator of small exceedance probabilities and large return periods u...

ProbGH

Estimator of small exceedance probabilities and large return periods u...

ProbGPD

Estimator of small exceedance probabilities and large return periods u...

ProbMOM

Estimator of small exceedance probabilities and large return periods u...

ProbReg

Estimator of small tail probability in regression

Quant

Weissman estimator of extreme quantiles

Quant2o

Second order refined Weissman estimator of extreme quantiles (QV)

QuantGH

Estimator of extreme quantiles using generalised Hill

QuantGPD

Estimator of extreme quantiles using GPD-MLE

QuantMOM

Estimator of extreme quantiles using MOM

QuantReg

Estimator of extreme quantiles in regression

Scale.2o

Bias-reduced scale estimator using second order Hill estimator

Scale

Scale estimator

ScaleEPD

Bias-reduced scale estimator using EPD estimator

ScaleReg

Scale estimator in regression

Splice

Spliced distribution

SpliceECDF

Plot of fitted and empirical survival function

SpliceFit

Splicing fit

SpliceFitGPD

Splicing of mixed Erlang and GPD using POT-MLE

SpliceFiticPareto

Splicing of mixed Erlang and Pareto for interval censored data

SpliceFitPareto

Splicing of mixed Erlang and Pareto

SpliceLL

LL-plot with fitted and empirical survival function

SpliceLL_TB

LL-plot with fitted and Turnbull survival function

SplicePP

PP-plot with fitted and empirical survival function

SplicePP_TB

PP-plot with fitted and Turnbull survival function

SpliceQQ

Splicing quantile plot

SpliceQQ_TB

Splicing quantile plot using Turnbull estimator

SpliceTB

Plot of fitted and Turnbull survival function

stdf

Non-parametric estimators of the STDF

tBurr

The truncated Burr distribution

tExp

The truncated exponential distribution

tFrechet

The truncated Frechet distribution

tGPD

The truncated generalised Pareto distribution

tlnorm

The truncated log-normal distribution

tPareto

The truncated Pareto distribution

trDT

Truncation odds

trDTMLE

Truncation odds

trEndpoint

Estimator of endpoint

trEndpointMLE

Estimator of endpoint

trHill

Hill estimator for upper truncated data

trMLE

MLE estimator for upper truncated data

trParetoQQ

Truncated Pareto quantile plot

trProb

Estimator of small exceedance probabilities using truncated Hill

trProbMLE

Estimator of small exceedance probabilities using truncated MLE

trQuant

Estimator of large quantiles using truncated Hill

trQuantMLE

Estimator of large quantiles using truncated MLE

trTest

Test for truncated Pareto-type tails

trTestMLE

Test for truncated GPD tails

Turnbull

Turnbull estimator

tWeibull

The truncated Weibull distribution

VaR

VaR of splicing fit

WeibullQQ

Weibull quantile plot

WeibullQQ_der

Derivative plot of the Weibull QQ-plot

Functions from the book "Reinsurance: Actuarial and Statistical Aspects" (2017) by Hansjoerg Albrecher, Jan Beirlant and Jef Teugels <https://www.wiley.com/en-us/Reinsurance%3A+Actuarial+and+Statistical+Aspects-p-9780470772683>.

  • Maintainer: Tom Reynkens
  • License: GPL (>= 2)
  • Last published: 2023-11-03