Returns the value of x in the Beta distribution with parameters alpha and beta.
Returns the value of x in the cdf for the Beta distribution with parameters alpha and beta.
Returns the value of p in the inverse of the cdf for the Beta distribution with parameters alpha and beta.
Returns the mean of the Beta distribution with parameters alpha and beta.
Returns the median of the Beta distribution with parameters alpha and beta.
Returns the mode of the Beta distribution with parameters alpha and beta.
Returns a random number whose distribution is the Beta distribution with parameters alpha and beta.
Returns the variance of the Beta distribution with parameters alpha and beta.
The F Distrbution is used frequently in analyses of variance. The distribution is parameterized by two degrees of freedom (df1 and df2). It is defined continuously on x in [0, infinity).
In all cases, df1 is the "numerator degrees of freedom" and df2 is the "denominator degrees of freedom", which parameterize the distribtuion.
Given x in the range [0, infinity), returns the probability density of the (central) F distribution at x.
This function corresponds to the df(x, df1, df2) function in R.
Given x in the range [0, infinity), returns the cumulative probability density of the central F distribution. That is, jStat.centralF.cdf(2.5, 10, 20) will return the probability that a number randomly selected from the central F distribution with df1 = 10 and df2 = 20 will be less than 2.5.
This function corresponds to the pf(q, df1, df2) function in R.
Given p in [0, 1), returns the value of x for which the cumulative probability density of the central F distribution is p. That is, jStat.centralF.inv(p, df1, df2) = x if and only if jStat.centralF.inv(x, df1, df2) = p.
This function corresponds to the qf(p, df1, df2) function in R.
Returns the mean of the (Central) F distribution.
Returns the mode of the (Central) F distribution.
Returns a random number whose distribution is the (Central) F distribution.
This function corresponds to the rf(n, df1, df2) function in R.
Returns the variance of the (Central) F distribution.
Returns the value of x in the pdf of the Cauchy distribution with a location (median) of local and scale factor of scale.
Returns the value of x in the cdf of the Cauchy distribution with a location (median) of local and scale factor of scale.
Returns the value of p in the inverse of the cdf for the Cauchy distribution with a location (median) of local and scale factor of scale.
Returns the value of the median for the Cauchy distribution with a location (median) of local and scale factor of scale.
Returns the value of the mode for the Cauchy distribution with a location (median) of local and scale factor of scale.
Returns a random number whose distribution is the Cauchy distribution with a location (median) of local and scale factor of scale.
Returns the value of the variance for the Cauchy distribution with a location (median) of local and scale factor of scale.
Returns the value of x in the pdf of the Chi Square distribution with dof degrees of freedom.
Returns the value of x in the cdf of the Chi Square distribution with dof degrees of freedom.
Returns the value of x in the inverse of the cdf for the Chi Square distribution with dof degrees of freedom.
Returns the value of the mean for the Chi Square distribution with dof degrees of freedom.
Returns the value of the median for the Chi Square distribution with dof degrees of freedom.
Returns the value of the mode for the Chi Square distribution with dof degrees of freedom.
Returns a random number whose distribution is the Chi Square distribution with dof degrees of freedom.
Returns the value of the variance for the Chi Square distribution with dof degrees of freedom.
Returns the value of x in the pdf of the Exponential distribution with the parameter rate (lambda).
Returns the value of x in the cdf of the Exponential distribution with the parameter rate (lambda).
Returns the value of p in the inverse of the cdf for the Exponential distribution with the parameter rate (lambda).
Returns the value of the mean for the Exponential distribution with the parameter rate (lambda).
Returns the value of the median for the Exponential distribution with the parameter rate (lambda)
Returns the value of the mode for the Exponential distribution with the parameter rate (lambda).
Returns a random number whose distribution is the Exponential distribution with the parameter rate (lambda).
Returns the value of the variance for the Exponential distribution with the parameter rate (lambda).
Returns the value of x in the pdf of the Gamma distribution with the parameters shape (k) and scale (theta). Notice that if using the alpha beta convention, scale = 1/beta.
Returns the value of x in the cdf of the Gamma distribution with the parameters shape (k) and scale (theta). Notice that if using the alpha beta convention, scale = 1/beta.
This function is checked against R's pgamma function.
Returns the value of p in the inverse of the cdf for the Gamma distribution with the parameters shape (k) and scale (theta). Notice that if using the alpha beta convention, scale = 1/beta.
This function is checked against R's qgamma function.
Returns the value of the mean for the Gamma distribution with the parameters shape (k) and scale (theta). Notice that if using the alpha beta convention, scale = 1/beta.
Returns the value of the mode for the Gamma distribution with the parameters shape (k) and scale (theta). Notice that if using the alpha beta convention, scale = 1/beta.
Returns a random number whose distribution is the Gamma distribution with the parameters shape (k) and scale (theta). Notice that if using the alpha beta convention, scale = 1/beta.
Returns the value of the variance for the Gamma distribution with the parameters shape (k) and scale (theta). Notice that if using the alpha beta convention, scale = 1/beta.
Returns the value of x in the pdf of the Inverse-Gamma distribution with parametres shape (alpha) and scale (beta).
Returns the value of x in the cdf of the Inverse-Gamma distribution with parametres shape (alpha) and scale (beta).
Returns the value of p in the inverse of the cdf for the Inverse-Gamma distribution with parametres shape (alpha) and scale (beta).
Returns the value of the mean for the Inverse-Gamma distribution with parametres shape (alpha) and scale (beta).
Returns the value of the mode for the Inverse-Gamma distribution with parametres shape (alpha) and scale (beta).
Returns a random number whose distribution is the Inverse-Gamma distribution with parametres shape (alpha) and scale (beta).
Returns the value of the variance for the Inverse-Gamma distribution with parametres shape (alpha) and scale (beta).
Returns the value of x in the pdf of the Kumaraswamy distribution with parameters a and b.
Returns the value of x in the cdf of the Kumaraswamy distribution with parameters alpha and beta.
Returns the value of p in the inverse of the pdf for the Kumaraswamy distribution with parametres alpha and beta.
This function corresponds to qkumar(p, alpha, beta) in R's VGAM package.
Returns the value of the mean of the Kumaraswamy distribution with parameters alpha and beta.
Returns the value of the median of the Kumaraswamy distribution with parameters alpha and beta.
Returns the value of the mode of the Kumaraswamy distribution with parameters alpha and beta.
Returns the value of the variance of the Kumaraswamy distribution with parameters alpha and beta.
Returns the value of x in the pdf of the Log-normal distribution with paramters mu (mean) and sigma (standard deviation).
Returns the value of x in the cdf of the Log-normal distribution with paramters mu (mean) and sigma (standard deviation).
Returns the value of x in the inverse of the cdf for the Log-normal distribution with paramters mu (mean of the Normal distribution) and sigma (standard deviation of the Normal distribution).
Returns the value of the mean for the Log-normal distribution with paramters mu (mean of the Normal distribution) and sigma (standard deviation of the Normal distribution).
Returns the value of the median for the Log-normal distribution with paramters mu (mean of the Normal distribution) and sigma (standard deviation of the Normal distribution).
Returns the value of the mode for the Log-normal distribution with paramters mu (mean of the Normal distribution) and sigma (standard deviation of the Normal distribution).
Returns a random number whose distribution is the Log-normal distribution with paramters mu (mean of the Normal distribution) and sigma (standard deviation of the Normal distribution).
Returns the value of the variance for the Log-normal distribution with paramters mu (mean of the Normal distribution) and sigma (standard deviation of the Normal distribution).
Returns the value of x in the pdf of the Normal distribution with parameters mean and std (standard deviation).
Returns the value of x in the cdf of the Normal distribution with parameters mean and std (standard deviation).
Returns the value of p in the inverse cdf for the Normal distribution with parameters mean and std (standard deviation).
Returns the value of the mean for the Normal distribution with parameters mean and std (standard deviation).
Returns the value of the median for the Normal distribution with parameters mean and std (standard deviation).
Returns the value of the mode for the Normal distribution with parameters mean and std (standard deviation).
Returns a random number whose distribution is the Normal distribution with parameters mean and std (standard deviation).
Returns the value of the variance for the Normal distribution with parameters mean and std (standard deviation).
Returns the value of x in the pdf of the Pareto distribution with parameters scale (x<sub>m</sub>) and shape (alpha).
Returns the inverse of the Pareto distribution with probability p, scale, shape.
This coresponds to qpareto(p, scale, shape) in R's VGAM package, and generally corresponds to the q<dist> function pattern in R.
Returns the value of x in the cdf of the Pareto distribution with parameters scale (x<sub>m</sub>) and shape (alpha).
Returns the value of the mean of the Pareto distribution with parameters scale (x<sub>m</sub>) and shape (alpha).
Returns the value of the median of the Pareto distribution with parameters scale (x<sub>m</sub>) and shape (alpha).
Returns the value of the mode of the Pareto distribution with parameters scale (x<sub>m</sub>) and shape (alpha).
Returns the value of the variance of the Pareto distribution with parameters scale (x<sub>m</sub>) and shape (alpha).
Returns the value of x in the pdf of the Student's T distribution with dof degrees of freedom.
Returns the value of x in the cdf of the Student's T distribution with dof degrees of freedom.
Returns the value of p in the inverse of the cdf for the Student's T distribution with dof degrees of freedom.
Returns the value of the mean of the Student's T distribution with dof degrees of freedom.
Returns the value of the median of the Student's T distribution with dof degrees of freedom.
Returns the value of the mode of the Student's T distribution with dof degrees of freedom.
Returns a random number whose distribution is the Student's T distribution with dof degrees of freedom.
Returns the value of the variance for the Student's T distribution with dof degrees of freedom.
Returns the value of q in the cdf of the Studentized range distribution with nmeans number of groups nmeans and dof degrees of freedom.
Returns the value of p in the inverse of the cdf for the Studentized range distribution with nmeans number of groups and dof degrees of freedom.
Only accurate to 4 decimal places.
Returns the value x in the pdf for the Weibull distribution with parameters scale (lambda) and shape (k).
Returns the value x in the cdf for the Weibull distribution with parameters scale (lambda) and shape (k).
Returns the value of x in the inverse of the cdf for the Weibull distribution with parameters scale (lambda) and shape (k).
Returns the value of the mean of the Weibull distribution with parameters scale (lambda) and shape (k).
Returns the value of the median of the Weibull distribution with parameters scale (lambda) and shape (k).
Returns the mode of the Weibull distribution with parameters scale (lambda) and shape (k).
Returns a random number whose distribution is the Weibull distribution with parameters scale (lambda) and shape (k).
Returns the variance of the Weibull distribution with parameters scale (lambda) and shape (k).
Returns the value of x in the pdf of the Uniform distribution from a to b.
Returns the value of x in the cdf of the Uniform distribution from a to b.
Returns the inverse of the uniform.cdf function; i.e. the value of x for which uniform.cdf(x, a, b) == p.
Returns the value of the mean of the Uniform distribution from a to b.
Returns the value of the median of the Uniform distribution from a to b.
Returns the value of the mode of the Uniform distribution from a to b.
Returns a random number whose distribution is the Uniform distribution from a to b.
Returns the variance of the Uniform distribution from a to b.
Returns the value of k in the pdf of the Binomial distribution with parameters n and p.
Returns the value of k in the cdf of the Binomial distribution with parameters n and p.
Returns the value of k in the pdf of the Negative Binomial distribution with parameters n and p.
Returns the value of x in the cdf of the Negative Binomial distribution with parameters n and p.
Returns the value of k in the pdf of the Hypergeometric distribution with parameters N (the population size), m (the success rate), and n (the number of draws).
Returns the value of x in the cdf of the Hypergeometric distribution with parameters N (the population size), m (the success rate), and n (the number of draws).
Returns the value of k in the pdf of the Poisson distribution with parameter l (lambda).
Returns the value of x in the cdf of the Poisson distribution with parameter l (lambda).
Returns a random number whose distribution is the Poisson distribution with rate parameter l (lamda)
Returns the value of x in the pdf of the Triangular distribution with the parameters a, b, and c.
Returns the value of x in the cdf of the Triangular distribution with the parameters a, b, and c.
Returns the value of the mean of the Triangular distribution with the parameters a, b, and c.
Returns the value of the median of the Triangular distribution with the parameters a, b, and c.
Returns the value of the mode of the Triangular distribution with the parameters a, b, and c.
Returns a random number whose distribution is the Triangular distribution with the parameters a, b, and c.
Returns the value of the variance of the Triangular distribution with the parameters a, b, and c.
Returns the value of x in the pdf of the arcsine distribution from a to b.
Returns the value of x in the cdf of the arcsine distribution from a to b.
Returns the inverse of the arcsine.cdf function; i.e. the value of x for which arcsine.cdf(x, a, b) == p.
Returns the value of the mean of the arcsine distribution from a to b.
Returns the value of the median of the arcsine distribution from a to b.
Returns the value of the mode of the arcsine distribution from a to b.
Returns a random number whose distribution is the arcsine distribution from a to b.
Returns the variance of the Uniform distribution from a to b.