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fitODBOD (version 1.5.6)

Modeling Over Dispersed Binomial Outcome Data Using BMD and ABD

Description

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) ) and Alternate Binomial Distributions (ABD) (Paul (1985) ), also Journal article to use the package().

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install.packages('fitODBOD')

Monthly Downloads

176

Version

1.5.6

License

MIT + file LICENSE

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Maintainer

Amalan Mahendran

Last Published

August 23rd, 2026

Functions in fitODBOD (1.5.6)

NegLLCorrBin

Negative Log Likelihood value of Correlated Binomial distribution
GenerateBOD

Generate Overdispersed Binomial Outcome Data
NegLLBetaBin

Negative Log Likelihood value of Beta-Binomial Distribution
NegLLAddBin

Negative Log Likelihood value of Additive Binomial distribution
EstMLEGrassiaIIBin

Estimating the shape parameters a and b for Grassia II Binomial distribution
NegLLCOMPBin

Negative Log Likelihood value of COM Poisson Binomial distribution
NegLLBetaCorrBin

Negative Log Likelihood value of Beta-Correlated Binomial distribution
Overdispersion

Overdispersion
NegLLGHGBB

Negative Log Likelihood value of Gaussian Hypergeometric Generalized Beta Binomial Distribution
NegLLLMBin

Negative Log Likelihood value of Lovinson Multiplicative Binomial distribution
NegLLKumBin

Negative Log Likelihood value of Kumaraswamy Binomial Distribution
NegLLTriBin

Negative Log Likelihood value of Triangular Binomial Distribution
NegLLGrassiaIIBin

Negative Log Likelihood value of Grassia II Binomial Distribution
NegLLGammaBin

Negative Log Likelihood value of Gamma Binomial Distribution
dAddBin

Additive Binomial Distribution
Terror_data_USA

Terror Data USA
Terror_data_ARG

Terror Data ARG
Plant_DiseaseData

Plant Disease Incidence data
NegLLMultiBin

Negative Log Likelihood value of Multiplicative Binomial distribution
dBetaCorrBin

Beta-Correlated Binomial Distribution
dCorrBin

Correlated Binomial Distribution
NegLLMcGBB

Negative Log Likelihood value of McDonald Generalized Beta Binomial Distribution
Male_Children

Male children data
dCOMPBin

COM Poisson Binomial Distribution
dGAMMA

Gamma Distribution
dGBeta1

Generalized Beta Type-1 Distribution
dBETA

Beta Distribution
dBetaBin

Beta-Binomial Distribution
dKumBin

Kumaraswamy Binomial Distribution
dGHGBB

Gaussian Hypergeometric Generalized Beta Binomial Distribution
dKUM

Kumaraswamy Distribution
dGrassiaIIBin

Grassia-II-Binomial Distribution
dUNI

Uniform Distribution Bounded Between [0,1]
dGammaBin

Gamma Binomial Distribution
dUniBin

Uniform Binomial Distribution
dGHGBeta

Gaussian Hypergeometric Generalized Beta Distribution
dTRI

Triangular Distribution Bounded Between [0,1]
dTriBin

Triangular Binomial Distribution
dLMBin

Lovinson Multiplicative Binomial Distribution
fitGrassiaIIBin

Fitting the Grassia II Binomial distribution when binomial random variable, frequency and shape parameters are given
fitKumBin

Fitting the Kumaraswamy Binomial Distribution when binomial random variable, frequency and shape parameters a and b, iterations parameter it are given
fitGammaBin

Fitting the Gamma Binomial distribution when binomial random variable, frequency and shape parameters are given
fitGHGBB

Fitting the Gaussian Hypergeometric Generalized Beta Binomial Distribution when binomial random variable, frequency and shape parameters a,b and c are given
fitAddBin

Fitting the Additive Binomial Distribution when binomial random variable, frequency, probability of success and alpha are given
fitBetaBin

Fitting the Beta-Binomial Distribution when binomial random variable, frequency and shape parameters a and b are given
mazGBeta1

Generalized Beta Type-1 Distribution
fitLMBin

Fitting the Lovinson Multiplicative Binomial Distribution when binomial random variable, frequency, probability of success and theta parameter are given
mazKUM

Kumaraswamy Distribution
fitMcGBB

Fitting the McDonald Generalized Beta Binomial distribution when binomial random variable, frequency and shape parameters are given
mazGHGBeta

Gaussian Hypergeometric Generalized Beta Distribution
mazTRI

Triangular Distribution Bounded Between [0,1]
fitMultiBin

Fitting the Multiplicative Binomial Distribution when binomial random variable, frequency, probability of success and theta parameter are given
fitBetaCorrBin

Fitting the Beta-Correlated Binomial Distribution when binomial random variable, frequency, covariance, alpha and beta parameters are given
fitTriBin

Fitting the Triangular Binomial Distribution when binomial random variable, frequency and mode value are given
fitBin

Fitting the Binomial Distribution when binomial random variable, frequency and probability value are given
dMcGBB

McDonald Generalized Beta Binomial Distribution
mazBETA

Beta Distribution
dMultiBin

Multiplicative Binomial Distribution
fitCOMPBin

Fitting the COM Poisson Binomial Distribution when binomial random variable, frequency, probability of success and v parameter are given
mazGAMMA

Gamma Distribution
fitCorrBin

Fitting the Correlated Binomial Distribution when binomial random variable, frequency, probability of success and covariance are given
mazUNI

Uniform Distribution Bounded Between [0,1]
pBetaCorrBin

Beta-Correlated Binomial Distribution
pBETA

Beta Distribution
pCOMPBin

COM Poisson Binomial Distribution
pAddBin

Additive Binomial Distribution
pBetaBin

Beta-Binomial Distribution
pKUM

Kumaraswamy Distribution
pLMBin

Lovinson Multiplicative Binomial Distribution
pGHGBeta

Gaussian Hypergeometric Generalized Beta Distribution
pGrassiaIIBin

Grassia-II-Binomial Distribution
pGHGBB

Gaussian Hypergeometric Generalized Beta Binomial Distribution
pGammaBin

Gamma Binomial Distribution
pTRI

Triangular Distribution Bounded Between [0,1]
pCorrBin

Correlated Binomial Distribution
pMultiBin

Multiplicative Binomial Distribution
pMcGBB

McDonald Generalized Beta Binomial Distribution
pGAMMA

Gamma Distribution
pTriBin

Triangular Binomial Distribution
pGBeta1

Generalized Beta Type-1 Distribution
pKumBin

Kumaraswamy Binomial Distribution
pUNI

Uniform Distribution Bounded Between [0,1]
pUniBin

Uniform Binomial Distribution
EstMLEBetaCorrBin

Estimating the covariance, alpha and beta parameter values for Beta-Correlated Binomial Distribution
EstMLECOMPBin

Estimating the probability of success and v parameter for COM Poisson Binomial Distribution
EstMLEBetaBin

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

Estimating the probability of success and alpha for Additive Binomial Distribution
Course_data

Course Data
Chromosome_data

Chromosome Data
EstMGFBetaBin

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

Estimating the probability of success and theta for Multiplicative Binomial Distribution
EstMLEGammaBin

Estimating the shape parameters c and l for Gamma Binomial distribution
EstMLECorrBin

Estimating the probability of success and correlation for Correlated Binomial Distribution
EstMLELMBin

Estimating the probability of success and theta for Lovinson Multiplicative Binomial Distribution
EstMLEMcGBB

Estimating the shape parameters a,b and c for McDonald Generalized Beta Binomial distribution
EstMLEKumBin

Estimating the shape parameters a and b and iterations for Kumaraswamy Binomial Distribution
EstMLETriBin

Estimating the mode value for Triangular Binomial Distribution
BODextract

Binomial Data Extraction from Raw data
EstMLEGHGBB

Estimating the shape parameters a,b and c for Gaussian Hypergeometric Generalized Beta Binomial Distribution
Exam_data

Exam Data
Alcohol_data

Alcohol data
Epidemic_Cold

Family Epidemics