Probability Density Functions

The following functions give the value of the density function with the specified distribution at the value quant, the first argument. Subsequent arguments are the parameters of the distribution. Note the period in each function name.

PDF.BERNOULLI. PDF.BERNOULLI(quant, prob). Numeric. Returns the probability that a value from the Bernoulli distribution, with the given probability parameter, will be equal to quant.

PDF.BETA. PDF.BETA(quant, shape1, shape2). Numeric. Returns the probability density of the beta distribution, with the given shape parameters, at quant.

PDF.BINOM. PDF.BINOM(quant, n, prob). Numeric. Returns the probability that the number of successes in n trials, with probability prob of success in each, will be equal to quant. When n is 1, this is the same as PDF.BERNOULLI.

PDF.BVNOR. PDF.BVNOR(quant1, quant2, corr). Numeric. Returns the probability density of the standard bivariate normal distribution, with the given correlation parameter, at quant1, quant2.

PDF.CAUCHY. PDF.CAUCHY(quant, loc, scale). Numeric. Returns the probability density of the Cauchy distribution, with the given location and scale parameters, at quant.

PDF.CHISQ. PDF.CHISQ(quant, df). Numeric. Returns the probability density of the chi-square distribution, with df degrees of freedom, at quant.

PDF.EXP. PDF.EXP(quant, shape). Numeric. Returns the probability density of the exponential distribution, with the given shape parameter, at quant.

PDF.F. PDF.F(quant, df1, df2). Numeric. Returns the probability density of the F distribution, with degrees of freedom df1 and df2, at quant.

PDF.GAMMA. PDF.GAMMA(quant, shape, scale). Numeric. Returns the probability density of the gamma distribution, with the given shape and scale parameters, at quant.

PDF.GEOM. PDF.GEOM(quant, prob). Numeric. Returns the probability that the number of trials to obtain a success, when the probability of success is given by prob, will be equal to quant.

PDF.HALFNRM. PDF.HALFNRM(quant, mean, stddev). Numeric. Returns the probability density of the half normal distribution, with specified mean and standard deviation, at quant.

PDF.HYPER. PDF.HYPER(quant, total, sample, hits). Numeric. Returns the probability that the number of objects with a specified characteristic, when sample objects are randomly selected from a universe of size total in which hits have the specified characteristic, will be equal to quant.

PDF.IGAUSS. PDF.IGAUSS(quant, loc, scale). Numeric. Returns the probability density of the inverse Gaussian distribution, with the given location and scale parameters, at quant.

PDF.LAPLACE. PDF.LAPLACE(quant, mean, scale). Numeric. Returns the probability density of the Laplace distribution, with the specified mean and scale parameters, at quant.

PDF.LOGISTIC. PDF.LOGISTIC(quant, mean, scale). Numeric. Returns the probability density of the logistic distribution, with the specified mean and scale parameters, at quant.

PDF.LNORMAL. PDF.LNORMAL(quant, a, b). Numeric. Returns the probability density of the log-normal distribution, with the specified parameters, at quant.

PDF.NEGBIN. PDF.NEGBIN(quant, thresh, prob). Numeric. Returns the probability that the number of trials to obtain a success, when the threshold parameter is thresh and the probability of success is given by prob, will be equal to quant.

PDF.NORMAL. PDF.NORMAL(quant, mean, stddev). Numeric. Returns the probability density of the normal distribution, with specified mean and standard deviation, at quant.

PDF.PARETO. PDF.PARETO(quant, threshold, shape). Numeric. Returns the probability density of the Pareto distribution, with the specified threshold and shape parameters, at quant.

PDF.POISSON. PDF.POISSON(quant, mean). Numeric. Returns the probability that a value from the Poisson distribution, with the specified mean or rate parameter, will be equal to quant.

PDF.T. PDF.T(quant, df). Numeric. Returns the probability density of Student's t distribution, with the specified degrees of freedom df, at quant.

PDF.UNIFORM. PDF.UNIFORM(quant, min, max). Numeric. Returns the probability density of the uniform distribution, with the specified minimum and maximum, at quant.

PDF.WEIBULL. PDF.WEIBULL(quant, a, b). Numeric. Returns the probability density of the Weibull distribution, with the specified parameters, at quant.

NPDF.BETA. NPDF.BETA(quant, shape1, shape2, nc). Numeric. Returns the probability density of the noncentral beta distribution, with the given shape and noncentrality parameters, at quant.

NPDF.CHISQ. NPDF.CHISQ(quant, df, nc). Numeric. Returns the probability density of the noncentral chi-square distribution, with df degrees of freedom and the specified noncentrality parameter, at quant.

NPDF.F. NPDF.F(quant, df1, df2, nc). Numeric. Returns the probability density of the noncentral F distribution, with degrees of freedom df1 and df2 and noncentrality nc, at quant.

NPDF.T. NPDF.T(quant, df, nc). Numeric. Returns the probability density of the noncentral Student's t distribution, with the specified degrees of freedom df and noncentrality nc, at quant.