Package: gamlss.dist 6.1-3

Mikis Stasinopoulos

gamlss.dist: Distributions for Generalized Additive Models for Location Scale and Shape

A set of distributions which can be used for modelling the response variables in Generalized Additive Models for Location Scale and Shape, Rigby and Stasinopoulos (2005), <doi:10.1111/j.1467-9876.2005.00510.x>. The distributions can be continuous, discrete or mixed distributions. Extra distributions can be created, by transforming, any continuous distribution defined on the real line, to a distribution defined on ranges 0 to infinity or 0 to 1, by using a 'log' or a 'logit' transformation respectively.

Authors:Mikis Stasinopoulos [aut, cre, cph], Robert Rigby [aut], Calliope Akantziliotou [ctb], Vlasios Voudouris [ctb], Gillian Heller [ctb], Fernanda De Bastiani [ctb], Raydonal Ospina [ctb], Nicoletta Motpan [ctb], Fiona McElduff [ctb], Majid Djennad [ctb], Marco Enea [ctb], Alexios Ghalanos [ctb], Christos Argyropoulos [ctb], Almond Stöcker [ctb], Jens Lichter [ctb], Stanislaus Stadlmann [ctb], Achim Zeileis [ctb]

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NEWS

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

Peer review:

Bug tracker:https://github.com/gamlss-dev/gamlss.dist/issues

On CRAN:

648 exports 4 stars 7.35 score 1 dependencies 62 dependents 113 mentions 288 scripts 10.5k downloads

Last updated 2 months agofrom:cfa3030a56. Checks:OK: 1 NOTE: 8. Indexed: yes.

TargetResultDate
Doc / VignettesOKSep 12 2024
R-4.5-win-x86_64NOTESep 12 2024
R-4.5-linux-x86_64NOTESep 12 2024
R-4.4-win-x86_64NOTESep 12 2024
R-4.4-mac-x86_64NOTESep 12 2024
R-4.4-mac-aarch64NOTESep 12 2024
R-4.3-win-x86_64NOTESep 12 2024
R-4.3-mac-x86_64NOTESep 12 2024
R-4.3-mac-aarch64NOTESep 12 2024

Exports:as.familyas.gamlss.familyBBBCCGBCCGoBCCGuntrBCPEBCPEoBCPEuntrBCTBCToBCTuntrBEBEINFBEINF0BEINF1BEoBEOIBEZIBIbinom_1_31binom_2_33binom_3_33BNBcentileKurtcentileSKcentileSkewcheckCentileSKchecklinkcheckMomentSKcontR_2_12contR_3_11contR_4_13contR01_2_13contR01_4_33contRplus_2_11contRplus_3_13contRplus_4_33count_1_22count_1_31count_2_32count_2_32Rcount_2_33count_3_32count_3_33dBBdBCCGdBCCGodBCPEdBCPEodBCTdBCTodBEdBEINFdBEINF0dBEINF1dBEodBEOIdBEZIdBIDBIdBNBDBURR12dDBIdDBURR12dDELdDPOdEGB2DELdexGAUSdEXPdGAdGAFdGB1dGB2dGEOMdGEOModGGdGIGdGPdGPOdGTdGUdIGdIGAMMAdJSUdJSUodLGdLNOdLOdLOGITNOdLOGNOdLOGNO2dLQNOdMN3dMN4dMN5dNBFdNBIdNBIIdNETdNOdNO2dNOFdPARETOdPARETO1dPARETO1odPARETO2dPARETO2odPEdPE2dPIGdPIG2dPODPOdRGdRGEdSEPdSEP1dSEP2dSEP3dSEP4dSHASHdSHASHodSHASHo2dSIdSICHELdSIMPLEXdSN1dSN2dSSTdST1dST2dST3dST3CdST4dST5dTFdTF2dWARINGdWEIdWEI2dWEI3dYULEdZABBdZABIdZABNBdZAGAdZAIGdZALGdZANBIdZAPdZAPIGdZASICHELdZAZIPFdZIBBdZIBIdZIBNBdZINBFdZINBIdZIPdZIP2dZIPFdZIPIGdZISICHELEGB2exGAUSEXPFamilyFamily.dFamily.pFamily.qFamily.rfittedMNflexDistGAGAFGAMLSSgamlss.familygamlss.family.defaultGB1GB2gen.Familygen.hazardGEOMGEOMoget_CGetBI_CGGGIGGPGPOGTGUhazardFunIGIGAMMAJSUJSUoLGLNOLOLOGITNOLOGNOLOGNO2LQNOmake.link.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.linkSISICHELSIMPLEXSN1SN2SSTST1ST2ST3ST3CST4ST5TFTF2theoCentileSKtofyStofySICHELVSICHELWARINGWEIWEI2WEI3YULEZABBZABIZABNBZAGAZAIGZALGZANBIZAPZAPIGZASICHELZAZIPFzetaPZIBBZIBIZIBNBZINBFZINBIZIPZIP2ZIPFZIPIGZISICHEL

Dependencies:MASS

Readme and manuals

Help Manual

Help pageTopics
Distributions for Generalized Additive Models for Location Scale and Shapegamlss.dist-package gamlss.dist
Beta Binomial Distribution For Fitting a GAMLSS ModelBB dBB pBB qBB rBB
Box-Cox Cole and Green distribution (or Box-Cox normal) for fitting a GAMLSSBCCG BCCGo BCCGuntr dBCCG dBCCGo pBCCG pBCCGo qBCCG qBCCGo rBCCG rBCCGo
Box-Cox Power Exponential distribution for fitting a GAMLSSBCPE BCPEo BCPEuntr checkBCPE dBCPE dBCPEo pBCPE pBCPEo qBCPE qBCPEo rBCPE rBCPEo
Box-Cox t distribution for fitting a GAMLSSBCT BCTo BCTuntr dBCT dBCTo pBCT pBCTo qBCT qBCTo rBCT rBCTo
The beta distribution for fitting a GAMLSSBE BEo dBE dBEo pBE pBEo qBE qBEo rBE rBEo
The beta inflated distribution for fitting a GAMLSSBEINF BEINF0 BEINF1 dBEINF dBEINF0 dBEINF1 meanBEINF meanBEINF0 meanBEINF1 pBEINF pBEINF0 pBEINF1 plotBEINF plotBEINF0 plotBEINF1 qBEINF qBEINF0 qBEINF1 rBEINF rBEINF0 rBEINF1
The one-inflated beta distribution for fitting a GAMLSSBEOI dBEOI meanBEOI pBEOI plotBEOI qBEOI rBEOI
The zero-inflated beta distribution for fitting a GAMLSSBEZI dBEZI meanBEZI pBEZI plotBEZI qBEZI rBEZI
Binomial distribution for fitting a GAMLSSBI dBI pBI qBI rBI
Beta Negative Binomial distribution for fitting a GAMLSSBNB dBNB dZABNB dZIBNB pBNB pZABNB pZIBNB qBNB qZABNB qZIBNB rBNB rZABNB rZIBNB ZABNB ZIBNB
Set the Right Link Function for Specified Parameter and Distributionchecklink
A set of functions to plot gamlss.family distributionsbinom_1_31 binom_2_33 binom_3_33 contR01_2_13 contR01_4_33 contRplus_2_11 contRplus_3_13 contRplus_4_33 contR_2_12 contR_3_11 contR_4_13 count_1_22 count_1_31 count_2_32 count_2_32R count_2_33 count_3_32 count_3_33
The Double binomial distributionDBI dDBI GetBI_C pDBI qDBI rDBI
The Discrete Burr type XII distribution for fitting a GAMLSS modelDBURR12 dDBURR12 pDBURR12 qDBURR12 rDBURR12
The Delaporte distribution for fitting a GAMLSS modeldDEL DEL pDEL qDEL rDEL
The Double Poisson distributiondDPO DPO get_C pDPO qDPO rDPO
The exponential generalized Beta type 2 distribution for fitting a GAMLSSdEGB2 EGB2 pEGB2 qEGB2 rEGB2
The ex-Gaussian distributiondexGAUS exGAUS pexGAUS qexGAUS rexGAUS
Exponential distribution for fitting a GAMLSSdEXP EXP pEXP qEXP rEXP
Non-parametric pdf from limited information dataflexDist
Gamma distribution for fitting a GAMLSSdGA GA pGA qGA rGA
The Gamma distribution familydGAF GAF pGAF qGAF rGAF
Create a GAMLSS Distributioncdf.GAMLSS format.GAMLSS GAMLSS is_continuous.GAMLSS is_discrete.GAMLSS kurtosis.GAMLSS log_pdf.GAMLSS mean.GAMLSS pdf.GAMLSS print.GAMLSS quantile.GAMLSS random.GAMLSS skewness.GAMLSS support.GAMLSS variance.GAMLSS
Family Objects for fitting a GAMLSS modelas.family as.gamlss.family gamlss.family gamlss.family.default print.gamlss.family
The generalized Beta type 1 distribution for fitting a GAMLSSdGB1 GB1 pGB1 qGB1 rGB1
The generalized Beta type 2 and generalized Pareto distributions for fitting a GAMLSSdGB2 dGP GB2 GP pGB2 pGP qGB2 qGP rGB2 rGP
Functions to generate log and logit distributions from existing continuous gamlss.family distributionsFamily Family.d Family.p Family.q Family.r gen.Family
Geometric distribution for fitting a GAMLSS modeldGEOM dGEOMo GEOM GEOMo pGEOM pGEOMo qGEOM qGEOMo rGEOM rGEOMo
Generalized Gamma distribution for fitting a GAMLSSdGG GG pGG qGG rGG
Generalized Inverse Gaussian distribution for fitting a GAMLSSdGIG GIG pGIG qGIG rGIG
The generalised Poisson distributiondGPO GPO pGPO qGPO rGPO
The generalized t distribution for fitting a GAMLSSdGT GT pGT qGT rGT
The Gumbel distribution for fitting a GAMLSSdGU GU pGU qGU rGU
Hazard functions for gamlss.family distributionsgen.hazard hazardFun
Inverse Gaussian distribution for fitting a GAMLSSdIG IG pIG qIG rIG
Inverse Gamma distribution for fitting a GAMLSSdIGAMMA IGAMMA pIGAMMA qIGAMMA rIGAMMA
The Johnson's Su distribution for fitting a GAMLSSdJSU JSU pJSU qJSU rJSU
The original Johnson's Su distribution for fitting a GAMLSSdJSUo JSUo pJSUo qJSUo rJSUo
Logarithmic and zero adjusted logarithmic distributions for fitting a GAMLSS modeldLG dZALG LG pLG pZALG qLG qZALG rLG rZALG ZALG
Log Normal distribution for fitting in GAMLSSdLNO dLOGNO dLOGNO2 LNO LOGNO LOGNO2 pLNO pLOGNO pLOGNO2 qLNO qLOGNO qLOGNO2 rLNO rLOGNO rLOGNO2
Logistic distribution for fitting a GAMLSSdLO LO pLO qLO rLO
Logit Normal distribution for fitting in GAMLSSdLOGITNO LOGITNO pLOGITNO qLOGITNO rLOGITNO
Normal distribution with a specific mean and variance relationship for fitting a GAMLSS modeldLQNO LQNO pLQNO qLQNO rLQNO
Create a Link for GAMLSS familiesmake.link.gamlss own.linkfun own.linkinv own.mu.eta own.valideta show.link
Multinomial distribution in GAMLSSdMN3 dMN4 dMN5 fittedMN MN3 MN4 MN5 MULTIN pMN3 pMN4 pMN5 qMN3 qMN4 qMN5 rMN3 rMN4 rMN5
Sample and theoretical Moment and Centile Skewness and Kurtosis Functionsboundary cEGB2_1 cEGB2_1Data cEGB2_2 centileKurt centileSK centileSkew checkCentileSK checkMomentSK cJSU cSB cSEP3 cSHASH cST3_1 cST3_2 fEGB2_1 fEGB2_2 fJSU fSEP3 fST3_1 fST3_2 momentSK plotCentileSK SKcentileBoth SKcentile_col SKcentile_gray SKmomentBoth SKmoment_col SKmoment_gray tEGB2_1 tEGB2_2 theoCentileSK tJSU tSB tSEP3 tSHASH tST3_1 tST3_2
Negative Binomial Family distribution for fitting a GAMLSSdNBF dZINBF NBF pNBF pZINBF qNBF qZINBF rNBF rZINBF ZINBF
Negative Binomial type I distribution for fitting a GAMLSSdNBI NBI pNBI qNBI rNBI
Negative Binomial type II distribution for fitting a GAMLSSdNBII NBII pNBII qNBII rNBII
Normal Exponential t distribution (NET) for fitting a GAMLSSdNET NET pNET qNET rNET
Normal distribution for fitting a GAMLSSdNO NO pNO qNO rNO
Normal distribution (with variance as sigma parameter) for fitting a GAMLSSdNO2 NO2 pNO2 qNO2 rNO2
Normal distribution family for fitting a GAMLSSdNOF NOF pNOF qNOF rNOF
Pareto distributions for fitting in GAMLSSdPARETO dPARETO1 dPARETO1o dPARETO2 dPARETO2o PARETO PARETO1 PARETO1o PARETO2 PARETO2o pPARETO pPARETO1 pPARETO1o pPARETO2 pPARETO2o qPARETO qPARETO1 qPARETO1o qPARETO2 qPARETO2o rPARETO rPARETO1 rPARETO1o rPARETO2 rPARETO2o
Power Exponential distribution for fitting a GAMLSSdPE dPE2 PE PE2 pPE pPE2 qPE qPE2 rPE rPE2
The Poisson-inverse Gaussian distribution for fitting a GAMLSS modeldPIG dPIG2 dZAPIG dZIPIG PIG PIG2 pPIG pPIG2 pZAPIG pZIPIG qPIG qPIG2 qZAPIG qZIPIG rPIG rPIG2 rZAPIG rZIPIG ZAPIG ZIPIG
Poisson distribution for fitting a GAMLSS modeldPO PO pPO qPO rPO
The Reverse Gumbel distribution for fitting a GAMLSSdRG pRG qRG RG rRG
Reverse generalized extreme family distribution for fitting a GAMLSSdRGE pRGE qRGE RGE rRGE
The Skew Power exponential (SEP) distribution for fitting a GAMLSSdSEP pSEP qSEP rSEP SEP
The Skew exponential power type 1-4 distribution for fitting a GAMLSSdSEP1 dSEP2 dSEP3 dSEP4 pSEP1 pSEP2 pSEP3 pSEP4 qSEP1 qSEP2 qSEP3 qSEP4 rSEP1 rSEP2 rSEP3 rSEP4 SEP1 SEP2 SEP3 SEP4
The Sinh-Arcsinh (SHASH) distribution for fitting a GAMLSSdSHASH dSHASHo dSHASHo2 pSHASH pSHASHo pSHASHo2 qSHASH qSHASHo qSHASHo2 rSHASH rSHASHo rSHASHo2 SHASH SHASHo SHASHo2
The Sichel dustribution for fitting a GAMLSS modeldSI pSI qSI rSI SI tofyS
The Sichel distribution for fitting a GAMLSS modeldSICHEL dZASICHEL dZISICHEL pSICHEL pZASICHEL pZISICHEL qSICHEL qZASICHEL qZISICHEL rSICHEL rZASICHEL rZISICHEL SICHEL tofySICHEL VSICHEL ZASICHEL ZISICHEL
The simplex distribution for fitting a GAMLSSdSIMPLEX pSIMPLEX qSIMPLEX rSIMPLEX SIMPLEX
Skew Normal Type 1 distribution for fitting a GAMLSSdSN1 pSN1 qSN1 rSN1 SN1
Skew Normal Type 2 distribution for fitting a GAMLSSdSN2 pSN2 qSN2 rSN2 SN2
The skew t distributions, type 1 to 5dSST dST1 dST2 dST3 dST3C dST4 dST5 pSST pST1 pST2 pST3 pST3C pST4 pST5 qSST qST1 qST2 qST3 qST3C qST4 qST5 rSST rST1 rST2 rST3 rST3C rST4 rST5 SST ST1 ST2 ST3 ST3C ST4 ST5
t family distribution for fitting a GAMLSSdTF dTF2 pTF pTF2 qTF qTF2 rTF rTF2 TF TF2
Waring distribution for fitting a GAMLSS modeldWARING pWARING qWARING rWARING WARING
Weibull distribution for fitting a GAMLSSdWEI pWEI qWEI rWEI WEI
A specific parameterization of the Weibull distribution for fitting a GAMLSSdWEI2 pWEI2 qWEI2 rWEI2 WEI2
A specific parameterization of the Weibull distribution for fitting a GAMLSSdWEI3 pWEI3 qWEI3 rWEI3 WEI3
Yule distribution for fitting a GAMLSS modeldYULE pYULE qYULE rYULE YULE
Zero inflated and zero adjusted Binomial distribution for fitting in GAMLSSdZABB dZIBB pZABB pZIBB qZABB qZIBB rZABB rZIBB ZABB ZIBB
Zero inflated and zero adjusted Binomial distribution for fitting in GAMLSSdZABI dZIBI pZABI pZIBI qZABI qZIBI rZABI rZIBI ZABI ZIBI
The zero adjusted Gamma distribution for fitting a GAMLSS modeldZAGA meanZAGA plotZAGA pZAGA qZAGA rZAGA ZAGA
The zero adjusted Inverse Gaussian distribution for fitting a GAMLSS modeldZAIG meanZAIG plotZAIG pZAIG qZAIG rZAIG ZAIG
Zero inflated and zero adjusted negative binomial distributions for fitting a GAMLSS modeldZANBI dZINBI pZANBI pZINBI qZANBI qZINBI rZANBI rZINBI ZANBI ZINBI
Zero adjusted poisson distribution for fitting a GAMLSS modeldZAP pZAP qZAP rZAP ZAP
Zero inflated poisson distribution for fitting a GAMLSS modeldZIP pZIP qZIP rZIP ZIP
Zero inflated poisson distribution for fitting a GAMLSS modeldZIP2 pZIP2 qZIP2 rZIP2 ZIP2
The zipf and zero adjusted zipf distributions for fitting a GAMLSS modeldZAZIPF dZIPF pZAZIPF pZIPF qZAZIPF qZIPF rZAZIPF rZIPF ZAZIPF zetaP ZIPF