triangular {SPLICE} | R Documentation |
The Triangular Distribution
Description
Density, distribution function, quantile function and random generation for
the triangular distribution with parameters min
, max
and mode
.
Usage
ptri(q, min, max, mode)
dtri(x, min, max, mode)
qtri(p, min, max, mode)
rtri(n, min, max, mode)
Arguments
min |
vector of minimum values. |
max |
vector of maximum values. |
mode |
vector of modes. |
x , q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. If |
Details
The triangular distribution with parameters min
,
max
,
mode
has density:
| | for |
| for |
|
| otherwise |
and distribution function:
| | for |
| for |
|
| for |
|
| for
|
for .
Value
dtri
gives the density, ptri
gives the distribution function,
qtri
gives the quantile function, and rtri
generates random deviates.
Examples
ptri(c(0, 1/2, 1), min = 0, max = 1, mode = 1/2)
dtri(c(0, 1/2, 1), min = 0, max = 1, mode = 1/2)
plot(function(x) dtri(x, min = 0, max = 1, mode = 1/2), 0, 1)
[Package SPLICE version 1.1.2 Index]