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fitODBOD (version 1.5.1)

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

554

Version

1.5.1

License

MIT + file LICENSE

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Maintainer

Amalan Mahendran

Last Published

February 10th, 2024

Functions in fitODBOD (1.5.1)

GenerateBOD

Generate Overdispersed Binomial Outcome Data
NegLLCorrBin

Negative Log Likelihood value of Correlated Binomial distribution
Terror_data_USA

Terror Data USA
NegLLBetaBin

Negative Log Likelihood value of Beta-Binomial Distribution
dAddBin

Additive Binomial Distribution
NegLLAddBin

Negative Log Likelihood value of Additive Binomial distribution
Overdispersion

Overdispersion
NegLLTriBin

Negative Log Likelihood value of Triangular Binomial Distribution
Male_Children

Male children data
NegLLLMBin

Negative Log Likelihood value of Lovinson Multiplicative Binomial distribution
NegLLKumBin

Negative Log Likelihood value of Kumaraswamy Binomial Distribution
NegLLGammaBin

Negative Log Likelihood value of Gamma Binomial Distribution
NegLLBetaCorrBin

Negative Log Likelihood value of Beta-Correlated Binomial distribution
NegLLCOMPBin

Negative Log Likelihood value of COM Poisson Binomial distribution
Exam_data

Exam Data
Plant_DiseaseData

Plant Disease Incidence data
dGHGBeta

Gaussian Hypergeometric Generalized Beta Distribution
NegLLGHGBB

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

Gamma Binomial Distribution
NegLLGrassiaIIBin

Negative Log Likelihood value of Grassia II Binomial Distribution
Terror_data_ARG

Terror Data ARG
dBETA

Beta Distribution
dBetaBin

Beta-Binomial Distribution
dBetaCorrBin

Beta-Correlated Binomial Distribution
dCOMPBin

COM Poisson Binomial Distribution
dTRI

Triangular Distribution Bounded Between [0,1]
dTriBin

Triangular Binomial Distribution
dMultiBin

Multiplicative Binomial Distribution
dMcGBB

McDonald Generalized Beta Binomial Distribution
NegLLMcGBB

Negative Log Likelihood value of McDonald Generalized Beta Binomial Distribution
NegLLMultiBin

Negative Log Likelihood value of Multiplicative Binomial distribution
dUniBin

Uniform Binomial Distribution
dUNI

Uniform Distribution Bounded Between [0,1]
dGHGBB

Gaussian Hypergeometric Generalized Beta Binomial Distribution
dGBeta1

Generalized Beta Type-1 Distribution
dKumBin

Kumaraswamy Binomial Distribution
dLMBin

Lovinson Multiplicative Binomial Distribution
dGrassiaIIBin

Grassia-II-Binomial Distribution
dKUM

Kumaraswamy Distribution
dCorrBin

Correlated Binomial Distribution
fitGHGBB

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

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

Gamma Distribution
fitBetaCorrBin

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

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

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

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

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

Kumaraswamy Distribution
fitGrassiaIIBin

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

Triangular Distribution Bounded Between [0,1]
mazGHGBeta

Gaussian Hypergeometric Generalized Beta Distribution
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
fitAddBin

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

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

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

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

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

Beta-Binomial Distribution
pBETA

Beta Distribution
mazUNI

Uniform Distribution Bounded Between [0,1]
pAddBin

Additive Binomial Distribution
pCOMPBin

COM Poisson Binomial Distribution
pBetaCorrBin

Beta-Correlated Binomial Distribution
pGBeta1

Generalized Beta Type-1 Distribution
pMcGBB

McDonald Generalized Beta Binomial Distribution
pTRI

Triangular Distribution Bounded Between [0,1]
pGHGBB

Gaussian Hypergeometric Generalized Beta Binomial Distribution
pKUM

Kumaraswamy Distribution
pGrassiaIIBin

Grassia-II-Binomial Distribution
pTriBin

Triangular Binomial Distribution
pKumBin

Kumaraswamy Binomial Distribution
pLMBin

Lovinson Multiplicative Binomial Distribution
pMultiBin

Multiplicative Binomial Distribution
pUniBin

Uniform Binomial Distribution
pUNI

Uniform Distribution Bounded Between [0,1]
pGHGBeta

Gaussian Hypergeometric Generalized Beta Distribution
pGammaBin

Gamma Binomial Distribution
mazGAMMA

Gamma Distribution
pGAMMA

Gamma Distribution
mazBETA

Beta Distribution
pCorrBin

Correlated Binomial Distribution
EstMLECOMPBin

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

Binomial Data Extraction from Raw data
EstMGFBetaBin

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

Alcohol data
EstMLEBetaCorrBin

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

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

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

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

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

Estimating the mode value for Triangular Binomial Distribution
EstMLEMultiBin

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

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

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

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

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

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

Chromosome Data
Course_data

Course Data
Epidemic_Cold

Family Epidemics