PearsonDS (version 1.1)

Pearson: The Pearson Distribution System

Description

Density, distribution function, quantile function and random generation for the Pearson distribution system.

Usage

dpearson(x, params, moments, log = FALSE, ...)
ppearson(q, params, moments, lower.tail = TRUE, log.p = FALSE, ...)
qpearson(p, params, moments, lower.tail = TRUE, log.p = FALSE, ...)
rpearson(n, params, moments, ...)

Arguments

x, q

vector of quantiles.

p

vector of probabilities.

n

number of observations.

params

vector/list of parameters for Pearson distribution. First entry gives type of distribution (0 for type 0, 1 for type I, ..., 7 for type VII), remaining entries give distribution parameters (depending on distribution type).

moments

optional vector/list of mean, variance, skewness, kurtosis (not excess kurtosis). Overrides params with corresponding pearson distribution, if given.

log, log.p

logical; if TRUE, probabilities p are given as log(p).

lower.tail

logical; if TRUE, probabilities are \(P[X\le x]\), otherwise, \(P[X>x]\).

…

further parameters for underlying functions (currently only used for distributions of type IV).

Value

dpearson gives the density, ppearson gives the distribution function, qpearson gives the quantile function, and rpearson generates random deviates.

Details

These are the wrapper functions for the (d,p,q,r)-functions of the Pearson distribution system sub-classes.

See Also

PearsonDS-package, Pearson0, PearsonI, PearsonII, PearsonIII, PearsonIV, PearsonV, PearsonVI, PearsonVII, pearsonFitM, pearsonFitML, pearsonMSC

Examples

# NOT RUN {
## Define moments of distribution
moments <- c(mean=1,variance=2,skewness=1,kurtosis=5)
## Generate some random variates
rpearson(5,moments=moments)
## evaluate distribution function
ppearson(seq(-2,3,by=1),moments=moments)
## evaluate density function
dpearson(seq(-2,3,by=1),moments=moments)
## evaluate quantile function
qpearson(seq(0.1,0.9,by=0.2),moments=moments)
# }