TwoSidedPower: Two-Sided Power Distribution

Description Usage Arguments Author(s) References See Also Examples

Description

These functions provide information about the two-sided power distribution with location parameter equal to m and shape equal to s: density, cumulative distribution, quantiles, and random generation.

The two-sided power distribution has density

f(y) = s(y/m)^(s-1), y<=m

f(y) = s((1-y)/(1-m))^(s-1), y>=m

where m is the location parameter of the distribution and s is the shape, and 0<y<1.

For s=1, this is the uniform distribution and for s=2, it is the triangular distribution.

Usage

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dtwosidedpower(y, m, s=2, log=FALSE)
ptwosidedpower(q, m, s=2)
qtwosidedpower(p, m, s=2)
rtwosidedpower(n, m, s=2)

Arguments

y

vector of responses.

q

vector of quantiles.

p

vector of probabilities

n

number of values to generate

m

vector of location parameters.

s

vector of shape parameters.

log

if TRUE, log probabilities are supplied.

Author(s)

J.K. Lindsey

References

van Dorp, J.R. and Kotz, S. (2002) A novel extension of the triangular distribution and its parameter estimation. The Statistician 51, 63-79.

See Also

dbeta for the beta distribution and dsimplex for the simplex distribution, other distributions for proportions between zero and one.

Examples

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dtwosidedpower(0.3, 0.5, 3)
ptwosidedpower(0.3, 0.5, 3)
qtwosidedpower(0.1, 0.5, 3)
rtwosidedpower(10, 0.5, 3)

swihart/rmutil documentation built on May 29, 2018, 9:13 p.m.