Package: mbbefd 0.8.12

Christophe Dutang

mbbefd: Maxwell Boltzmann Bose Einstein Fermi Dirac Distribution and Destruction Rate Modelling

Distributions that are typically used for exposure rating in general insurance, in particular to price reinsurance contracts. The vignette shows code snippets to fit the distribution to empirical data. See, e.g., Bernegger (1997) <doi:10.2143/AST.27.1.563208> freely available on-line.

Authors:Christophe Dutang [aut, cre], Giorgio Spedicato [aut], Markus Gesmann [ctb]

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mbbefd.pdf |mbbefd.html
mbbefd/json (API)

# Install 'mbbefd' in R:
install.packages('mbbefd', repos = c('https://spedygiorgio.r-universe.dev', 'https://cloud.r-project.org'))

Peer review:

Bug tracker:https://github.com/spedygiorgio/mbbefd/issues

Uses libs:
  • c++– GNU Standard C++ Library v3
Datasets:

On CRAN:

actuarialdestruction-rate-modelingreinsurance

75 exports 12 stars 1.83 score 12 dependencies 93 scripts 518 downloads

Last updated 1 years agofrom:70e6923747. Checks:OK: 1 NOTE: 8. Indexed: yes.

TargetResultDate
Doc / VignettesOKAug 31 2024
R-4.5-win-x86_64NOTEAug 31 2024
R-4.5-linux-x86_64NOTEAug 31 2024
R-4.4-win-x86_64NOTEAug 31 2024
R-4.4-mac-x86_64NOTEAug 31 2024
R-4.4-mac-aarch64NOTEAug 31 2024
R-4.3-win-x86_64NOTEAug 31 2024
R-4.3-mac-x86_64NOTEAug 31 2024
R-4.3-mac-aarch64NOTEAug 31 2024

Exports:bootDRdgbetadgbeta1dmbbefddMBBEFDdmbbefd1dMBBEFD1dmbbefd2dMBBEFD2doibetadoifundoigbetadoistparetodoiunifdstparetoecbetaeccompecgbetaecmbbefdecMBBEFDecoibetaecoifunecoigbetaecoistparetoecoiunifecstparetoecunifeecfetlfitDRg2amgbetammbbefdmMBBEFDmoibetamoifunmoigbetamoistparetomoiunifmstparetopgbetapmbbefdpMBBEFDpoibetapoifunpoigbetapoistparetopoiunifpstparetoqgbetaqmbbefdqMBBEFDqoibetaqoifunqoigbetaqoistparetoqoiunifqstparetorgbetarmbbefdrMBBEFDroibetaroifunroigbetaroistparetoroiunifrstparetoswissRetlmbbefdtlMBBEFDtloibetatloifuntloigbetatloistparetotloiunif

Dependencies:actuaralabamaexpintfitdistrplusgsllatticeMASSMatrixnumDerivRcpprlangsurvival

Exposure rating, destruction rate models and the mbbefd package

Rendered fromIntroduction_to_mbbefd.Rmdusingknitr::rmarkdownon Aug 31 2024.

Last update: 2021-07-31
Started: 2016-02-23

Readme and manuals

Help Manual

Help pageTopics
Maxwell Boltzmann Bose Einstein Fermi Dirac Distribution and Destruction Rate Modellingmbbefd-package
Large commercial risks in Asia-Pacificasiacomrisk
AON Re Belgian datasetbeaonre
Bootstrap simulation of destruction rate modelsbootDR
Empirical Exposure Curve Functioneecf lines.eecf plot.eecf print.eecf summary.eecf
Empirical total lossetl
Exposure curves for the beta and the uniform distributions.ecbeta ecunif exposureCurve
Fit of destruction rate modelsfitDR
Get a parameter known g and bg2a
The generalized Beta of the first kind Distributiondgbeta dgbeta1 ecgbeta gbeta mgbeta pgbeta qgbeta rgbeta
Graphical comparison of multiple fitted distributionseccomp graph-eccomp
Italian grade scoresitagradescore
General Liability Claimslossalaefull
The MBBEFD distribution (two parametrizations)dMBBEFD dmbbefd dMBBEFD1 dmbbefd1 dMBBEFD2 dmbbefd2 ecMBBEFD ecmbbefd MBBEFD mbbefd mbbefd-distr mMBBEFD mmbbefd pMBBEFD pmbbefd qMBBEFD qmbbefd rMBBEFD rmbbefd tlMBBEFD tlmbbefd
One-inflated beta distributiondoibeta ecoibeta moibeta oibeta poibeta qoibeta roibeta tloibeta
One-inflated distributionsdoifun ecoifun moifun oidistribution poifun qoifun roifun tloifun
One-inflated generalized beta of the first kind (GB1)) distributiondoigbeta ecoigbeta moigbeta oigbeta poigbeta qoigbeta roigbeta tloigbeta
One-inflated shifted truncated pareto distributiondoistpareto ecoistpareto moistpareto oistpareto poistpareto qoistpareto roistpareto tloistpareto
One-inflated uniform distributiondoiunif ecoiunif moiunif oiunif poiunif qoiunif roiunif tloiunif
The shifted truncated Pareto distributiondstpareto ecstpareto mstpareto pstpareto qstpareto rstpareto stpareto
Swiss Re exposure curve generation functionswissRe