Functions from "Reinsurance: Actuarial and Statistical Aspects"


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Documentation for package ‘ReIns’ version 1.0.14

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C D E G H I K L M N P Q R S T V W

-- C --

cEPD EPD estimator for right censored data
cExpQQ Exponential quantile plot for right censored data
cgenHill Generalised Hill estimator for right censored data
cGPDmle 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
cPOT GPD-ML estimator for right censored data
cProb Estimator of small exceedance probabilities and large return periods using censored Hill
cProbEPD Estimator of small exceedance probabilities and large return periods using censored EPD
cProbGH Estimator of small exceedance probabilities and large return periods using censored generalised Hill
cProbGPD Estimator of small exceedance probabilities and large return periods using censored GPD-MLE
cProbMOM Estimator of small exceedance probabilities and large return periods using censored MOM
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
cReturn Estimator of small exceedance probabilities and large return periods using censored Hill
cReturnEPD Estimator of small exceedance probabilities and large return periods using censored EPD
cReturnGH Estimator of small exceedance probabilities and large return periods using censored generalised Hill
cReturnGPD Estimator of small exceedance probabilities and large return periods using censored GPD-MLE
cReturnMOM Estimator of small exceedance probabilities and large return periods 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

-- D --

dburr The Burr distribution
depd The Extended Pareto Distribution
dfrechet The Frechet distribution
dgpd The generalised Pareto distribution
dpareto The Pareto distribution
dSplice Spliced distribution
dtburr The truncated Burr distribution
dtexp The truncated exponential distribution
dtfrechet The truncated Frechet distribution
dtgpd The truncated generalised Pareto distribution
dtlnorm The truncated log-normal distribution
dtpareto The truncated Pareto distribution
dtweibull The truncated Weibull distribution

-- E --

EPD EPD estimator
EPDfit Fit EPD using MLE
ES Conditional Tail Expectation
EVTfit EVT fit
ExcessEPD Estimates for excess-loss premiums using EPD estimates
ExcessGPD Estimates for excess-loss premiums using GPD-MLE estimates
ExcessHill Estimates for excess-loss premiums using a Pareto model
ExcessPareto Estimates for excess-loss premiums using a Pareto model
ExcessSplice Estimates for excess-loss premiums using splicing
ExpQQ Exponential quantile plot

-- G --

generalizedQQ Generalised quantile plot
genHill Generalised Hill estimator
genQQ Generalised quantile plot
GPDfit Fit GPD using MLE
GPDmle GPD-ML estimator
GPDresiduals GPD residual plot

-- H --

Hill Hill estimator
Hill.2oQV Bias-reduced MLE (Quantile view)
Hill.kopt Select optimal threshold for Hill estimator

-- I --

icHill Hill estimator for interval censored data
icParetoQQ Pareto quantile plot for interval censored data

-- K --

KaplanMeier Kaplan-Meier estimator

-- L --

LognormalQQ Log-normal quantile plot
LognormalQQ_der Derivative plot of the log-normal QQ-plot
LStail Least Squares tail estimator

-- M --

MeanExcess Mean excess function
MeanExcess_TB Mean excess function using Turnbull estimator
MEfit Mixed Erlang fit
Moment Moment estimator

-- N --

norwegianfire Norwegian fire insurance data

-- P --

ParetoQQ Pareto quantile plot
ParetoQQ_der Derivative plot of the Pareto QQ-plot
pburr The Burr distribution
pClas Classical estimators for the CDF
pEdge Edgeworth approximation
pepd The Extended Pareto Distribution
pfrechet The Frechet distribution
pGC Gram-Charlier approximation
pgpd The generalised Pareto distribution
POT GPD-ML estimator
ppareto The Pareto distribution
Prob Weissman estimator of small exceedance probabilities and large return periods
ProbEPD Estimator of small exceedance probabilities and large return periods using EPD
ProbGH Estimator of small exceedance probabilities and large return periods using generalised Hill
ProbGPD Estimator of small exceedance probabilities and large return periods using GPD-MLE
ProbMOM Estimator of small exceedance probabilities and large return periods using MOM
ProbReg Estimator of small tail probability in regression
pSplice Spliced distribution
ptburr The truncated Burr distribution
ptexp The truncated exponential distribution
ptfrechet The truncated Frechet distribution
ptgpd The truncated generalised Pareto distribution
ptlnorm The truncated log-normal distribution
ptpareto The truncated Pareto distribution
ptweibull The truncated Weibull distribution

-- Q --

qburr The Burr distribution
qepd The Extended Pareto Distribution
qfrechet The Frechet distribution
qgpd The generalised Pareto distribution
qpareto The Pareto distribution
qSplice Spliced distribution
qtburr The truncated Burr distribution
qtexp The truncated exponential distribution
qtfrechet The truncated Frechet distribution
qtgpd The truncated generalised Pareto distribution
qtlnorm The truncated log-normal distribution
qtpareto The truncated Pareto distribution
qtweibull The truncated Weibull distribution
Quant Weissman estimator of extreme quantiles
Quant.2oQV 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

-- R --

rburr The Burr distribution
repd The Extended Pareto Distribution
Return Weissman estimator of small exceedance probabilities and large return periods
ReturnEPD Estimator of small exceedance probabilities and large return periods using EPD
ReturnGH Estimator of small exceedance probabilities and large return periods using generalised Hill
ReturnGPD Estimator of small exceedance probabilities and large return periods using GPD-MLE
ReturnMOM Estimator of small exceedance probabilities and large return periods using MOM
rfrechet The Frechet distribution
rgpd The generalised Pareto distribution
rpareto The Pareto distribution
rSplice Spliced distribution
rtburr The truncated Burr distribution
rtexp The truncated exponential distribution
rtfrechet The truncated Frechet distribution
rtgpd The truncated generalised Pareto distribution
rtlnorm The truncated log-normal distribution
rtpareto The truncated Pareto distribution
rtweibull The truncated Weibull distribution

-- S --

Scale Scale estimator
Scale.2o Bias-reduced scale estimator using second order Hill estimator
ScaleEPD Bias-reduced scale estimator using EPD estimator
ScaleReg Scale estimator in regression
secura Secura dataset
soa SOA Group Medical Insurance Large Claims Database
SpliceECDF Plot of fitted and empirical survival function
SpliceFit Splicing fit
SpliceFitGPD Splicing of mixed Erlang and GPD using POT-MLE
SpliceFitHill Splicing of mixed Erlang and Pareto
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
stdf2 Non-parametric estimators of the STDF

-- T --

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
trQuantW Estimator of large quantiles using truncated Hill
trTest Test for truncated Pareto-type tails
trTestMLE Test for truncated GPD tails
TSfraction Least Squares tail estimator
Turnbull Turnbull estimator

-- V --

VaR VaR of splicing fit

-- W --

WeibullQQ Weibull quantile plot
WeibullQQ_der Derivative plot of the Weibull QQ-plot
Weissman.p Weissman estimator of small exceedance probabilities and large return periods
Weissman.q Weissman estimator of extreme quantiles
Weissman.q.2oQV Second order refined Weissman estimator of extreme quantiles (QV)
Weissman.r Weissman estimator of small exceedance probabilities and large return periods