fitODBOD1.5.3 package

Modeling Over Dispersed Binomial Outcome Data Using BMD and ABD

BODextract

Binomial Data Extraction from Raw data

NegLLGammaBin

Negative Log Likelihood value of Gamma Binomial Distribution

dAddBin

Additive Binomial Distribution

NegLLBetaBin

Negative Log Likelihood value of Beta-Binomial Distribution

NegLLBetaCorrBin

Negative Log Likelihood value of Beta-Correlated Binomial distribution

NegLLCOMPBin

Negative Log Likelihood value of COM Poisson Binomial distribution

NegLLCorrBin

Negative Log Likelihood value of Correlated Binomial distribution

pGAMMA

Gamma Distribution

pGammaBin

Gamma Binomial Distribution

pKUM

Kumaraswamy Distribution

NegLLGHGBB

Negative Log Likelihood value of Gaussian Hypergeometric Generalized B...

NegLLGrassiaIIBin

Negative Log Likelihood value of Grassia II Binomial Distribution

NegLLKumBin

Negative Log Likelihood value of Kumaraswamy Binomial Distribution

NegLLLMBin

Negative Log Likelihood value of Lovinson Multiplicative Binomial dist...

NegLLMcGBB

Negative Log Likelihood value of McDonald Generalized Beta Binomial Di...

NegLLMultiBin

Negative Log Likelihood value of Multiplicative Binomial distribution

NegLLTriBin

Negative Log Likelihood value of Triangular Binomial Distribution

Overdispersion

Overdispersion

pAddBin

Additive Binomial Distribution

pTriBin

Triangular Binomial Distribution

pUNI

Uniform Distribution Bounded Between [0,1]

pUniBin

Uniform Binomial Distribution

fitGHGBB

Fitting the Gaussian Hypergeometric Generalized Beta Binomial Distribu...

dBETA

Beta Distribution

dBetaBin

Beta-Binomial Distribution

dBetaCorrBin

Beta-Correlated Binomial Distribution

dCOMPBin

COM Poisson Binomial Distribution

mazUNI

Uniform Distribution Bounded Between [0,1]

dCorrBin

Correlated Binomial Distribution

dGAMMA

Gamma Distribution

dGammaBin

Gamma Binomial Distribution

dGBeta1

Generalized Beta Type-1 Distribution

dGHGBB

Gaussian Hypergeometric Generalized Beta Binomial Distribution

dGHGBeta

Gaussian Hypergeometric Generalized Beta Distribution

dGrassiaIIBin

Grassia-II-Binomial Distribution

dKUM

Kumaraswamy Distribution

dKumBin

Kumaraswamy Binomial Distribution

dLMBin

Lovinson Multiplicative Binomial Distribution

dMcGBB

McDonald Generalized Beta Binomial Distribution

dMultiBin

Multiplicative Binomial Distribution

NegLLAddBin

Negative Log Likelihood value of Additive Binomial distribution

dTRI

Triangular Distribution Bounded Between [0,1]

dTriBin

Triangular Binomial Distribution

dUNI

Uniform Distribution Bounded Between [0,1]

dUniBin

Uniform Binomial Distribution

EstMGFBetaBin

Estimating the shape parameters a and b for Beta-Binomial Distribution

EstMLEAddBin

Estimating the probability of success and alpha for Additive Binomial ...

EstMLEBetaBin

Estimating the shape parameters a and b for Beta-Binomial Distribution

EstMLEBetaCorrBin

Estimating the covariance, alpha and beta parameter values for Beta-Co...

EstMLECOMPBin

Estimating the probability of success and v parameter for COM Poisson ...

EstMLECorrBin

Estimating the probability of success and correlation for Correlated B...

EstMLEGammaBin

Estimating the shape parameters c and l for Gamma Binomial distributio...

EstMLEGHGBB

Estimating the shape parameters a,b and c for Gaussian Hypergeometric ...

EstMLEGrassiaIIBin

Estimating the shape parameters a and b for Grassia II Binomial distri...

EstMLEKumBin

Estimating the shape parameters a and b and iterations for Kumaraswamy...

EstMLELMBin

Estimating the probability of success and theta for Lovinson Multiplic...

EstMLEMcGBB

Estimating the shape parameters a,b and c for McDonald Generalized Bet...

EstMLEMultiBin

Estimating the probability of success and theta for Multiplicative Bin...

EstMLETriBin

Estimating the mode value for Triangular Binomial Distribution

fitAddBin

Fitting the Additive Binomial Distribution when binomial random variab...

fitBetaBin

Fitting the Beta-Binomial Distribution when binomial random variable, ...

fitBetaCorrBin

Fitting the Beta-Correlated Binomial Distribution when binomial random...

fitBin

Fitting the Binomial Distribution when binomial random variable, frequ...

fitCOMPBin

Fitting the COM Poisson Binomial Distribution when binomial random var...

fitCorrBin

Fitting the Correlated Binomial Distribution when binomial random vari...

fitGammaBin

Fitting the Gamma Binomial distribution when binomial random variable,...

fitGrassiaIIBin

Fitting the Grassia II Binomial distribution when binomial random vari...

fitKumBin

Fitting the Kumaraswamy Binomial Distribution when binomial random var...

fitLMBin

Fitting the Lovinson Multiplicative Binomial Distribution when binomia...

fitMcGBB

Fitting the McDonald Generalized Beta Binomial distribution when binom...

fitMultiBin

Fitting the Multiplicative Binomial Distribution when binomial random ...

fitTriBin

Fitting the Triangular Binomial Distribution when binomial random vari...

GenerateBOD

Generate Overdispersed Binomial Outcome Data

mazBETA

Beta Distribution

mazGAMMA

Gamma Distribution

mazGBeta1

Generalized Beta Type-1 Distribution

mazGHGBeta

Gaussian Hypergeometric Generalized Beta Distribution

mazKUM

Kumaraswamy Distribution

mazTRI

Triangular Distribution Bounded Between [0,1]

pBETA

Beta Distribution

pBetaBin

Beta-Binomial Distribution

pBetaCorrBin

Beta-Correlated Binomial Distribution

pCOMPBin

COM Poisson Binomial Distribution

pCorrBin

Correlated Binomial Distribution

pGBeta1

Generalized Beta Type-1 Distribution

pGHGBB

Gaussian Hypergeometric Generalized Beta Binomial Distribution

pGHGBeta

Gaussian Hypergeometric Generalized Beta Distribution

pGrassiaIIBin

Grassia-II-Binomial Distribution

pKumBin

Kumaraswamy Binomial Distribution

pLMBin

Lovinson Multiplicative Binomial Distribution

pMcGBB

McDonald Generalized Beta Binomial Distribution

pMultiBin

Multiplicative Binomial Distribution

pTRI

Triangular Distribution Bounded Between [0,1]

Contains Probability Mass Functions, Cumulative Mass Functions, Negative Log Likelihood value, parameter estimation and modeling data using Binomial Mixture Distributions (BMD) (Manoj et al (2013) <doi:10.5539/ijsp.v2n2p24>) and Alternate Binomial Distributions (ABD) (Paul (1985) <doi:10.1080/03610928508828990>), also Journal article to use the package(<doi:10.21105/joss.01505>).

  • Maintainer: Amalan Mahendran
  • License: MIT + file LICENSE
  • Last published: 2024-10-10