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Core Functionalities

Distributions

Bern() dbern() pbern() qbern() rbern() d(<Bern>,<numeric>) p(<Bern>,<numeric>) qn(<Bern>,<numeric>) r(<Bern>,<numeric>) mean(<Bern>) median(<Bern>) mode(<Bern>) var(<Bern>) sd(<Bern>) skew(<Bern>) kurt(<Bern>) entro(<Bern>) finf(<Bern>) llbern() ll(<Bern>,<numeric>) ebern() mle(<Bern>,<numeric>) me(<Bern>,<numeric>) vbern() avar_mle(<Bern>) avar_me(<Bern>)
Bern Distribution
Beta() d(<Beta>,<numeric>) p(<Beta>,<numeric>) qn(<Beta>,<numeric>) r(<Beta>,<numeric>) mean(<Beta>) median(<Beta>) mode(<Beta>) var(<Beta>) sd(<Beta>) skew(<Beta>) kurt(<Beta>) entro(<Beta>) finf(<Beta>) llbeta() ll(<Beta>,<numeric>) ebeta() mle(<Beta>,<numeric>) me(<Beta>,<numeric>) same(<Beta>,<numeric>) vbeta() avar_mle(<Beta>) avar_me(<Beta>) avar_same(<Beta>)
Beta Distribution
Binom() d(<Binom>,<numeric>) p(<Binom>,<numeric>) qn(<Binom>,<numeric>) r(<Binom>,<numeric>) mean(<Binom>) var(<Binom>) sd(<Binom>) skew(<Binom>) kurt(<Binom>) entro(<Binom>) finf(<Binom>) llbinom() ll(<Binom>,<numeric>) ebinom() mle(<Binom>,<numeric>) me(<Binom>,<numeric>) vbinom() avar_mle(<Binom>) avar_me(<Binom>)
Binom Distribution
Cat() dcat() rcat() d(<Cat>,<numeric>) r(<Cat>,<numeric>) mean(<Cat>) mode(<Cat>) var(<Cat>) entro(<Cat>) finf(<Cat>) llcat() ll(<Cat>,<numeric>) ecat() mle(<Cat>,<numeric>) me(<Cat>,<numeric>) vcat() avar_mle(<Cat>) avar_me(<Cat>)
Cat Distribution
Cauchy() d(<Cauchy>,<numeric>) p(<Cauchy>,<numeric>) qn(<Cauchy>,<numeric>) r(<Cauchy>,<numeric>) mean(<Cauchy>) median(<Cauchy>) mode(<Cauchy>) var(<Cauchy>) sd(<Cauchy>) skew(<Cauchy>) kurt(<Cauchy>) entro(<Cauchy>) finf(<Cauchy>) llcauchy() ll(<Cauchy>,<numeric>) ecauchy() mle(<Cauchy>,<numeric>) me(<Cauchy>,<numeric>) vcauchy() avar_mle(<Cauchy>)
Cauchy Distribution
Chisq() d(<Chisq>,<numeric>) p(<Chisq>,<numeric>) qn(<Chisq>,<numeric>) r(<Chisq>,<numeric>) mean(<Chisq>) median(<Chisq>) mode(<Chisq>) var(<Chisq>) sd(<Chisq>) skew(<Chisq>) kurt(<Chisq>) entro(<Chisq>) finf(<Chisq>) llchisq() ll(<Chisq>,<numeric>) echisq() mle(<Chisq>,<numeric>) me(<Chisq>,<numeric>) vchisq() avar_mle(<Chisq>) avar_me(<Chisq>)
Chi-Square Distribution
Dir() ddir() rdir() d(<Dir>,<numeric>) d(<Dir>,<matrix>) r(<Dir>,<numeric>) mean(<Dir>) mode(<Dir>) var(<Dir>) entro(<Dir>) finf(<Dir>) lldir() ll(<Dir>,<matrix>) edir() mle(<Dir>,<matrix>) me(<Dir>,<matrix>) same(<Dir>,<matrix>) vdir() avar_mle(<Dir>) avar_me(<Dir>) avar_same(<Dir>)
Dirichlet Distribution
Exp() d(<Exp>,<numeric>) p(<Exp>,<numeric>) qn(<Exp>,<numeric>) r(<Exp>,<numeric>) mean(<Exp>) median(<Exp>) mode(<Exp>) var(<Exp>) sd(<Exp>) skew(<Exp>) kurt(<Exp>) entro(<Exp>) finf(<Exp>) llexp() ll(<Exp>,<numeric>) eexp() mle(<Exp>,<numeric>) me(<Exp>,<numeric>) vexp() avar_mle(<Exp>) avar_me(<Exp>)
Exponential Distribution
Fisher() d(<Fisher>,<numeric>) p(<Fisher>,<numeric>) qn(<Fisher>,<numeric>) r(<Fisher>,<numeric>) mean(<Fisher>) median(<Fisher>) mode(<Fisher>) var(<Fisher>) sd(<Fisher>) skew(<Fisher>) kurt(<Fisher>) entro(<Fisher>) llf() ll(<Fisher>,<numeric>)
Fisher Distribution
Gam() d(<Gam>,<numeric>) p(<Gam>,<numeric>) qn(<Gam>,<numeric>) r(<Gam>,<numeric>) mean(<Gam>) median(<Gam>) mode(<Gam>) var(<Gam>) sd(<Gam>) skew(<Gam>) kurt(<Gam>) entro(<Gam>) finf(<Gam>) llgamma() ll(<Gam>,<numeric>) egamma() mle(<Gam>,<numeric>) me(<Gam>,<numeric>) same(<Gam>,<numeric>) vgamma() avar_mle(<Gam>) avar_me(<Gam>) avar_same(<Gam>)
Gamma Distribution
Geom() d(<Geom>,<numeric>) p(<Geom>,<numeric>) qn(<Geom>,<numeric>) r(<Geom>,<numeric>) mean(<Geom>) median(<Geom>) mode(<Geom>) var(<Geom>) sd(<Geom>) skew(<Geom>) kurt(<Geom>) entro(<Geom>) finf(<Geom>) llgeom() ll(<Geom>,<numeric>) egeom() mle(<Geom>,<numeric>) me(<Geom>,<numeric>) vgeom() avar_mle(<Geom>) avar_me(<Geom>)
Geometric Distribution
Laplace() dlaplace() plaplace() qlaplace() rlaplace() d(<Laplace>,<numeric>) p(<Laplace>,<numeric>) qn(<Laplace>,<numeric>) r(<Laplace>,<numeric>) mean(<Laplace>) median(<Laplace>) mode(<Laplace>) var(<Laplace>) sd(<Laplace>) skew(<Laplace>) kurt(<Laplace>) entro(<Laplace>) finf(<Laplace>) lllaplace() ll(<Laplace>,<numeric>) elaplace() mle(<Laplace>,<numeric>) me(<Laplace>,<numeric>) vlaplace() avar_mle(<Laplace>) avar_me(<Laplace>)
Laplace Distribution
Lnorm() d(<Lnorm>,<numeric>) p(<Lnorm>,<numeric>) qn(<Lnorm>,<numeric>) r(<Lnorm>,<numeric>) mean(<Lnorm>) median(<Lnorm>) mode(<Lnorm>) var(<Lnorm>) sd(<Lnorm>) skew(<Lnorm>) kurt(<Lnorm>) entro(<Lnorm>) finf(<Lnorm>) lllnorm() ll(<Lnorm>,<numeric>) elnorm() mle(<Lnorm>,<numeric>) me(<Lnorm>,<numeric>) vlnorm() avar_mle(<Lnorm>) avar_me(<Lnorm>)
Log-Normal Distribution
Multigam() dmultigam() rmultigam() d(<Multigam>,<numeric>) d(<Multigam>,<matrix>) r(<Multigam>,<numeric>) mean(<Multigam>) var(<Multigam>) finf(<Multigam>) llmultigam() ll(<Multigam>,<matrix>) emultigam() mle(<Multigam>,<matrix>) me(<Multigam>,<matrix>) same(<Multigam>,<matrix>) vmultigam() avar_mle(<Multigam>) avar_me(<Multigam>) avar_same(<Multigam>)
Multivariate Gamma Distribution
Multinom() d(<Multinom>,<numeric>) r(<Multinom>,<numeric>) mean(<Multinom>) mode(<Multinom>) var(<Multinom>) entro(<Multinom>) finf(<Multinom>) llmultinom() ll(<Multinom>,<matrix>) emultinom() mle(<Multinom>,<matrix>) me(<Multinom>,<matrix>) vmultinom() avar_mle(<Multinom>) avar_me(<Multinom>)
Multinomial Distribution
Nbinom() d(<Nbinom>,<numeric>) p(<Nbinom>,<numeric>) qn(<Nbinom>,<numeric>) r(<Nbinom>,<numeric>) mean(<Nbinom>) median(<Nbinom>) mode(<Nbinom>) var(<Nbinom>) sd(<Nbinom>) skew(<Nbinom>) kurt(<Nbinom>) entro(<Nbinom>) finf(<Nbinom>) llnbinom() ll(<Nbinom>,<numeric>) enbinom() mle(<Nbinom>,<numeric>) me(<Nbinom>,<numeric>) vnbinom() avar_mle(<Nbinom>) avar_me(<Nbinom>)
Negative Binomial Distribution
Norm() d(<Norm>,<numeric>) p(<Norm>,<numeric>) qn(<Norm>,<numeric>) r(<Norm>,<numeric>) mean(<Norm>) median(<Norm>) mode(<Norm>) var(<Norm>) sd(<Norm>) skew(<Norm>) kurt(<Norm>) entro(<Norm>) finf(<Norm>) llnorm() ll(<Norm>,<numeric>) enorm() mle(<Norm>,<numeric>) me(<Norm>,<numeric>) vnorm() avar_mle(<Norm>) avar_me(<Norm>)
Normal Distribution
Pois() d(<Pois>,<numeric>) p(<Pois>,<numeric>) qn(<Pois>,<numeric>) r(<Pois>,<numeric>) mean(<Pois>) median(<Pois>) mode(<Pois>) var(<Pois>) sd(<Pois>) skew(<Pois>) kurt(<Pois>) entro(<Pois>) finf(<Pois>) llpois() ll(<Pois>,<numeric>) epois() mle(<Pois>,<numeric>) me(<Pois>,<numeric>) vpois() avar_mle(<Pois>) avar_me(<Pois>)
Poisson Distribution
Stud() d(<Stud>,<numeric>) p(<Stud>,<numeric>) qn(<Stud>,<numeric>) r(<Stud>,<numeric>) mean(<Stud>) median(<Stud>) mode(<Stud>) var(<Stud>) sd(<Stud>) skew(<Stud>) kurt(<Stud>) entro(<Stud>) llt() ll(<Stud>,<numeric>)
Student Distribution
Unif() d(<Unif>,<numeric>) p(<Unif>,<numeric>) qn(<Unif>,<numeric>) r(<Unif>,<numeric>) mean(<Unif>) median(<Unif>) mode(<Unif>) var(<Unif>) sd(<Unif>) skew(<Unif>) kurt(<Unif>) entro(<Unif>) llunif() ll(<Unif>,<numeric>) eunif() mle(<Unif>,<numeric>) me(<Unif>,<numeric>)
Uniform Distribution
Weib() d(<Weib>,<numeric>) p(<Weib>,<numeric>) qn(<Weib>,<numeric>) r(<Weib>,<numeric>) mean(<Weib>) median(<Weib>) mode(<Weib>) var(<Weib>) sd(<Weib>) skew(<Weib>) kurt(<Weib>) entro(<Weib>) llweibull() ll(<Weib>,<numeric>) eweibull() mle(<Weib>,<numeric>) me(<Weib>,<numeric>)
Weibull Distribution

Metrics

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Small Sample Metrics
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Large Sample Metrics
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Plot Metrics

Tools

idigamma()
Inverse Digamma Function