# Probability Distributions as S3 Objects ## -- B --

 Bernoulli Create a Bernoulli distribution Beta Create a Beta distribution Binomial Create a Binomial distribution

## -- C --

 Categorical Create a Categorical distribution Cauchy Create a Cauchy distribution cdf Evaluate the probability density of a probability distribution cdf.Bernoulli Evaluate the cumulative distribution function of a Bernoulli distribution cdf.Beta Evaluate the cumulative distribution function of a Beta distribution cdf.Binomial Evaluate the cumulative distribution function of a Binomial distribution cdf.Categorical Evaluate the cumulative distribution function of a Categorical distribution cdf.Cauchy Evaluate the cumulative distribution function of a Cauchy distribution cdf.ChiSquare Evaluate the cumulative distribution function of a chi square distribution cdf.Exponential Evaluate the cumulative distribution function of a Exponential distribution cdf.FisherF Evaluate the cumulative distribution function of an F distribution cdf.Gamma Evaluate the cumulative distribution function of a Gamma distribution cdf.Geometric Evaluate the cumulative distribution function of a Geometric distribution cdf.HyperGeometric Evaluate the cumulative distribution function of a HyperGeometric distribution cdf.Logistic Evaluate the cumulative distribution function of a Logistic distribution cdf.LogNormal Evaluate the cumulative distribution function of a LogNormal distribution cdf.NegativeBinomial Evaluate the cumulative distribution function of a negative binomial distribution cdf.Normal Evaluate the cumulative distribution function of a Normal distribution cdf.Poisson Evaluate the cumulative distribution function of a Poisson distribution cdf.StudentsT Evaluate the cumulative distribution function of a StudentsT distribution cdf.Tukey Evaluate the cumulative distribution function of a Tukey distribution cdf.Uniform Evaluate the cumulative distribution function of a continuous Uniform distribution cdf.Weibull Evaluate the cumulative distribution function of a Weibull distribution ChiSquare Create a Chi-Square distribution

## -- E --

 Exponential Create a Exponential distribution

## -- F --

 FisherF Create an F distribution fit_mle Fit a distribution to data fit_mle.Bernoulli Fit a Bernoulli distribution to data fit_mle.Binomial Fit a Binomial distribution to data fit_mle.Exponential Fit an Exponential distribution to data fit_mle.Gamma Fit a Gamma distribution to data fit_mle.Geometric Fit a Geometric distribution to data fit_mle.LogNormal Fit a Log Normal distribution to data fit_mle.Normal Fit a Normal distribution to data fit_mle.Poisson Fit an Poisson distribution to data

## -- G --

 Gamma Create a Gamma distribution Geometric Create a Geometric distribution

## -- H --

 HyperGeometric Create a HyperGeometric distribution

## -- I --

 is_distribution Is an object a distribution?

## -- L --

 likelihood Compute the likelihood of a probability distribution given data Logistic Create a Logistic distribution LogNormal Create a LogNormal distribution log_likelihood Compute the log-likelihood of a probability distribution given data log_pdf Evaluate the probability density of a probability distribution log_pdf.Bernoulli Evaluate the probability mass function of a Bernoulli distribution log_pdf.Beta Evaluate the probability mass function of a Beta distribution log_pdf.Binomial Evaluate the probability mass function of a Binomial distribution log_pdf.Categorical Evaluate the probability mass function of a Categorical discrete distribution log_pdf.Cauchy Evaluate the probability mass function of a Cauchy distribution log_pdf.ChiSquare Evaluate the probability mass function of a chi square distribution log_pdf.Exponential Evaluate the probability mass function of a Exponential distribution log_pdf.FisherF Evaluate the probability mass function of an F distribution log_pdf.Gamma Evaluate the probability mass function of a Gamma distribution log_pdf.Geometric Evaluate the probability mass function of a Geometric distribution log_pdf.HyperGeometric Evaluate the probability mass function of a HyperGeometric distribution log_pdf.Logistic Evaluate the probability mass function of a Logistic distribution log_pdf.LogNormal Evaluate the probability mass function of a LogNormal distribution log_pdf.Multinomial Evaluate the probability mass function of a Multinomial distribution log_pdf.NegativeBinomial Evaluate the probability mass function of a NegativeBinomial distribution log_pdf.Normal Evaluate the probability mass function of a Normal distribution log_pdf.Poisson Evaluate the probability mass function of a Poisson distribution log_pdf.StudentsT Evaluate the probability mass function of a StudentsT distribution log_pdf.Uniform Evaluate the probability mass function of a continuous Uniform distribution log_pdf.Weibull Evaluate the probability mass function of a Weibull distribution

## -- M --

 Multinomial Create a Multinomial distribution

## -- N --

 NegativeBinomial Create a Negative Binomial distribution Normal Create a Normal distribution

## -- P --

 pdf Evaluate the probability density of a probability distribution pdf.Bernoulli Evaluate the probability mass function of a Bernoulli distribution pdf.Beta Evaluate the probability mass function of a Beta distribution pdf.Binomial Evaluate the probability mass function of a Binomial distribution pdf.Categorical Evaluate the probability mass function of a Categorical discrete distribution pdf.Cauchy Evaluate the probability mass function of a Cauchy distribution pdf.ChiSquare Evaluate the probability mass function of a chi square distribution pdf.Exponential Evaluate the probability mass function of a Exponential distribution pdf.FisherF Evaluate the probability mass function of an F distribution pdf.Gamma Evaluate the probability mass function of a Gamma distribution pdf.Geometric Evaluate the probability mass function of a Geometric distribution pdf.HyperGeometric Evaluate the probability mass function of a HyperGeometric distribution pdf.Logistic Evaluate the probability mass function of a Logistic distribution pdf.LogNormal Evaluate the probability mass function of a LogNormal distribution pdf.Multinomial Evaluate the probability mass function of a Multinomial distribution pdf.NegativeBinomial Evaluate the probability mass function of a NegativeBinomial distribution pdf.Normal Evaluate the probability mass function of a Normal distribution pdf.Poisson Evaluate the probability mass function of a Poisson distribution pdf.StudentsT Evaluate the probability mass function of a StudentsT distribution pdf.Uniform Evaluate the probability mass function of a continuous Uniform distribution pdf.Weibull Evaluate the probability mass function of a Weibull distribution pmf Evaluate the probability density of a probability distribution Poisson Create a Poisson distribution

## -- Q --

 quantile Find the quantile of a probability distribution quantile.Bernoulli Determine quantiles of a Bernoulli distribution quantile.Beta Determine quantiles of a Beta distribution quantile.Binomial Determine quantiles of a Binomial distribution quantile.Categorical Determine quantiles of a Categorical discrete distribution quantile.Cauchy Determine quantiles of a Cauchy distribution quantile.ChiSquare Determine quantiles of a chi square distribution quantile.Exponential Determine quantiles of a Exponential distribution quantile.FisherF Determine quantiles of an F distribution quantile.Gamma Determine quantiles of a Gamma distribution quantile.Geometric Determine quantiles of a Geometric distribution quantile.HyperGeometric Determine quantiles of a HyperGeometric distribution quantile.Logistic Determine quantiles of a Logistic distribution quantile.LogNormal Determine quantiles of a LogNormal distribution quantile.NegativeBinomial Determine quantiles of a NegativeBinomial distribution quantile.Normal Determine quantiles of a Normal distribution quantile.Poisson Determine quantiles of a Poisson distribution quantile.StudentsT Determine quantiles of a StudentsT distribution quantile.Tukey Determine quantiles of a Tukey distribution quantile.Uniform Determine quantiles of a continuous Uniform distribution quantile.Weibull Determine quantiles of a Weibull distribution

## -- R --

 random Draw a random sample from a probability distribution random.Bernoulli Draw a random sample from a Bernoulli distribution random.Beta Draw a random sample from a Beta distribution random.Binomial Draw a random sample from a Binomial distribution random.Categorical Draw a random sample from a Categorical distribution random.Cauchy Draw a random sample from a Cauchy distribution random.ChiSquare Draw a random sample from a chi square distribution random.Exponential Draw a random sample from a Exponential distribution random.FisherF Draw a random sample from an F distribution random.Gamma Draw a random sample from a Gamma distribution random.Geometric Draw a random sample from a Geometric distribution random.HyperGeometric Draw a random sample from a HyperGeometric distribution random.Logistic Draw a random sample from a Logistic distribution random.LogNormal Draw a random sample from a LogNormal distribution random.Multinomial Draw a random sample from a Multinomial distribution random.NegativeBinomial Draw a random sample from a negative binomial distribution random.Normal Draw a random sample from a Normal distribution random.Poisson Draw a random sample from a Poisson distribution random.StudentsT Draw a random sample from a StudentsT distribution random.Uniform Draw a random sample from a continuous Uniform distribution random.Weibull Draw a random sample from a Weibull distribution

## -- S --

 StudentsT Create a Student's T distribution suff_stat Compute the sufficient statistics of a distribution from data suff_stat.Bernoulli Compute the sufficient statistics for a Bernoulli distribution from data suff_stat.Binomial Compute the sufficient statistics for the Binomial distribution from data suff_stat.Exponential Compute the sufficient statistics of an Exponential distribution from data suff_stat.Gamma Compute the sufficient statistics for a bernoulli distribution from data suff_stat.Geometric Compute the sufficient statistics for the Geometric distribution from data suff_stat.LogNormal Compute the sufficient statistics for a Log-normal distribution from data suff_stat.Normal Compute the sufficient statistics for a Normal distribution from data suff_stat.Poisson Compute the sufficient statistics of an Poisson distribution from data

## -- T --

 Tukey Create a Tukey distribution

## -- U --

 Uniform Create a Continuous Uniform distribution

## -- W --

 Weibull Create a Weibull distribution