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fitODBOD (version 1.5.5)

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

812

Version

1.5.5

License

MIT + file LICENSE

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Repository

https://github.com/Amalan-ConStat/fitODBOD

Homepage

https://amalan-constat.github.io/fitODBOD/index.html

Maintainer

Amalan Mahendran

Last Published

November 19th, 2025

Functions in fitODBOD (1.5.5)

Male children data

Generate Overdispersed Binomial Outcome Data

NegLLBetaCorrBin

Negative Log Likelihood value of Beta-Correlated Binomial distribution

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

Estimating the probability of success and theta for Multiplicative Binomial Distribution

Plant_DiseaseData

Plant Disease Incidence data

Terror_data_ARG

Terror Data ARG

NegLLGrassiaIIBin

Negative Log Likelihood value of Grassia II Binomial Distribution

Negative Log Likelihood value of Gamma Binomial Distribution

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

Additive Binomial Distribution

Terror_data_USA

Terror Data USA

Negative Log Likelihood value of Gaussian Hypergeometric Generalized Beta Binomial Distribution

Negative Log Likelihood value of Correlated Binomial distribution

Beta-Binomial Distribution

Negative Log Likelihood value of Multiplicative Binomial distribution

Beta Distribution

Negative Log Likelihood value of McDonald Generalized Beta Binomial Distribution

Negative Log Likelihood value of Lovinson Multiplicative Binomial distribution

Negative Log Likelihood value of Beta-Binomial Distribution

Negative Log Likelihood value of Additive Binomial distribution

Negative Log Likelihood value of Kumaraswamy Binomial Distribution

Gaussian Hypergeometric Generalized Beta Binomial Distribution

Generalized Beta Type-1 Distribution

Beta-Correlated Binomial Distribution

COM Poisson Binomial Distribution

Gamma Binomial Distribution

Gaussian Hypergeometric Generalized Beta Distribution

Grassia-II-Binomial Distribution

Kumaraswamy Distribution

Uniform Distribution Bounded Between [0,1]

Uniform Binomial Distribution

Lovinson Multiplicative Binomial Distribution

Kumaraswamy Binomial Distribution

Correlated Binomial Distribution

fitGrassiaIIBin

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

Gamma Distribution

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

Negative Log Likelihood value of Triangular Binomial Distribution

Negative Log Likelihood value of COM Poisson Binomial distribution

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

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

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

Multiplicative Binomial Distribution

McDonald Generalized Beta Binomial Distribution

Beta Distribution

Gamma Distribution

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

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

Kumaraswamy Distribution

Triangular Distribution Bounded Between [0,1]

Triangular Distribution Bounded Between [0,1]

Triangular Binomial Distribution

COM Poisson Binomial Distribution

Beta-Correlated Binomial Distribution

Correlated Binomial Distribution

Gamma Distribution

Generalized Beta Type-1 Distribution

Additive Binomial Distribution

Gaussian Hypergeometric Generalized Beta Distribution

Multiplicative Binomial Distribution

Uniform Distribution Bounded Between [0,1]

McDonald Generalized Beta Binomial Distribution

Triangular Binomial Distribution

Beta Distribution

Beta-Binomial Distribution

Triangular Distribution Bounded Between [0,1]

Kumaraswamy Binomial Distribution

Lovinson Multiplicative Binomial Distribution

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

Kumaraswamy Distribution

Gaussian Hypergeometric Generalized Beta Binomial Distribution

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

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

Generalized Beta Type-1 Distribution

Grassia-II-Binomial Distribution

Uniform Binomial Distribution

Uniform Distribution Bounded Between [0,1]

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

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

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

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

Gamma Binomial Distribution

Gaussian Hypergeometric Generalized Beta Distribution

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

Binomial Data Extraction from Raw data

Estimating the probability of success and alpha for Additive Binomial Distribution

EstMLEBetaCorrBin

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

Chromosome_data

Chromosome Data

Family Epidemics

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

Estimating the probability of success and correlation for Correlated Binomial Distribution

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

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

Estimating the mode value for Triangular Binomial Distribution

EstMLEGrassiaIIBin

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

Estimating the shape parameters c and l for Gamma Binomial distribution

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