Two-Sided Power Distribution
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.
dtwosidedpower(y, m, s=2, log=FALSE) ptwosidedpower(q, m, s=2) qtwosidedpower(p, m, s=2) rtwosidedpower(n, m, s=2)
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. |
J.K. Lindsey
van Dorp, J.R. and Kotz, S. (2002) A novel extension of the triangular distribution and its parameter estimation. The Statistician 51, 63-79.
dtwosidedpower(0.3, 0.5, 3) ptwosidedpower(0.3, 0.5, 3) qtwosidedpower(0.1, 0.5, 3) rtwosidedpower(10, 0.5, 3)
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