@stdlib/stats
Version:
Standard library statistical functions.
85 lines (65 loc) • 1.79 kB
Plain Text
{{alias}}( x, a, b, c )
Evaluates the natural logarithm of the cumulative distribution function
(CDF) for a triangular distribution with minimum support `a`, maximum
support `b`, and mode `c` at a value `x`.
If the condition `a <= c <= b` is not satisfied, the function returns `NaN`.
If either `a`, `b`, or `c` is `NaN`, the function returns `NaN`.
Parameters
----------
x: number
Input value.
a: number
Minimum support.
b: number
Maximum support.
c: number
Mode.
Returns
-------
out: number
Evaluated logCDF.
Examples
--------
> var y = {{alias}}( 0.5, -1.0, 1.0, 0.0 )
~-0.134
> y = {{alias}}( 0.5, -1.0, 1.0, 0.5 )
~-0.288
> y = {{alias}}( -10.0, -20.0, 0.0, -2.0 )
~-1.281
> y = {{alias}}( -2.0, -1.0, 1.0, 0.0 )
-Infinity
> y = {{alias}}( NaN, 0.0, 1.0, 0.5 )
NaN
> y = {{alias}}( 0.0, NaN, 1.0, 0.5 )
NaN
> y = {{alias}}( 0.0, 0.0, NaN, 0.5 )
NaN
> y = {{alias}}( 2.0, 1.0, 0.0, NaN )
NaN
> y = {{alias}}( 2.0, 1.0, 0.0, 1.5 )
NaN
{{alias}}.factory( a, b, c )
Returns a function for evaluating the natural logarithm of the cumulative
distribution function (CDF) of a triangular distribution with minimum
support `a`, maximum support `b`, and mode `c`.
Parameters
----------
a: number
Minimum support.
b: number
Maximum support.
c: number
Mode.
Returns
-------
cdf: Function
Logarithm of cumulative distribution function (CDF).
Examples
--------
> var mylogcdf = {{alias}}.factory( 0.0, 10.0, 2.0 );
> var y = mylogcdf( 0.5 )
~-4.382
> y = mylogcdf( 8.0 )
~-0.051
See Also
--------