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fitODBOD (version 1.5.0)

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

install.packages('fitODBOD')

Monthly Downloads

554

Version

1.5.0

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

January 15th, 2023

Functions in fitODBOD (1.5.0)

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

Family Epidemics

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

Estimating the probability of success and alpha for Additive Binomial Distribution

Binomial Data Extraction from Raw data

Chromosome_data

Chromosome Data

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

Estimating the probability of success and theta for Multiplicative Binomial Distribution

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

Estimating the mode value for Triangular Binomial Distribution

Estimating the shape parameters c and l for Gamma Binomial distribution

EstMLEBetaCorrBin

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

Estimating the shape parameters a and b for Beta-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

EstMLEGrassiaIIBin

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

Negative Log Likelihood value of COM Poisson Binomial distribution

Negative Log Likelihood value of Gamma Binomial Distribution

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

Negative Log Likelihood value of Correlated Binomial distribution

Negative Log Likelihood value of Kumaraswamy Binomial Distribution

NegLLGrassiaIIBin

Negative Log Likelihood value of Grassia II Binomial Distribution

Negative Log Likelihood value of Gaussian Hypergeometric Generalized Beta Binomial Distribution

NegLLBetaCorrBin

Negative Log Likelihood value of Beta-Correlated Binomial distribution

Negative Log Likelihood value of Beta-Binomial Distribution

Beta Distribution

Additive Binomial Distribution

Male children data

Negative Log Likelihood value of McDonald Generalized Beta Binomial Distribution

Terror_data_USA

Terror Data USA

Terror_data_ARG

Terror Data ARG

Plant_DiseaseData

Plant Disease Incidence data

Negative Log Likelihood value of Lovinson Multiplicative Binomial distribution

Negative Log Likelihood value of Additive Binomial distribution

Beta-Correlated Binomial Distribution

Negative Log Likelihood value of Multiplicative Binomial distribution

Beta-Binomial Distribution

Negative Log Likelihood value of Triangular Binomial Distribution

Gaussian Hypergeometric Generalized Beta Binomial Distribution

Gamma Binomial Distribution

Gaussian Hypergeometric Generalized Beta Distribution

McDonald Generalized Beta Binomial Distribution

Grassia-II-Binomial Distribution

Lovinson Multiplicative Binomial Distribution

Kumaraswamy Distribution

Kumaraswamy Binomial Distribution

Uniform Distribution Bounded Between [0,1]

Triangular Binomial Distribution

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

COM Poisson Binomial Distribution

Uniform Binomial Distribution

Correlated 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

Multiplicative Binomial Distribution

Gamma Distribution

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

fitGrassiaIIBin

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

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

Generalized Beta Type-1 Distribution

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

Triangular Distribution Bounded Between [0,1]

Fitting the Beta-Binomial Distribution when binomial random variable, frequency and shape parameters a and b 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 Lovinson Multiplicative Binomial Distribution when binomial random variable, frequency, probability of success and theta parameter are given

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

Triangular Distribution Bounded Between [0,1]

Uniform Distribution Bounded Between [0,1]

Beta Distribution

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

Gamma Distribution

Generalized Beta Type-1 Distribution

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

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

Gaussian Hypergeometric Generalized Beta Distribution

Gaussian Hypergeometric Generalized Beta Binomial Distribution

Kumaraswamy Distribution

Gaussian Hypergeometric Generalized Beta Distribution

Beta-Binomial Distribution

Generalized Beta Type-1 Distribution

Gamma Distribution

COM Poisson Binomial Distribution

Correlated Binomial Distribution

Beta-Correlated Binomial Distribution

Beta Distribution

Additive Binomial Distribution

Lovinson Multiplicative Binomial Distribution

Triangular Binomial Distribution

Triangular Distribution Bounded Between [0,1]

Kumaraswamy Binomial Distribution

Kumaraswamy Distribution

Gamma Binomial Distribution

Multiplicative Binomial Distribution

Uniform Distribution Bounded Between [0,1]

McDonald Generalized Beta Binomial Distribution

Grassia-II-Binomial Distribution

Uniform Binomial Distribution