Probability density function of Student's t-distribution
This functionality does not run in MATLAB.
stats::tPDF(a) returns a procedure representing the probability density function
of Student's t-distribution with shape parameter ('degrees of freedom') a > 0.
The procedure f := stats::tPDF(a) can be called in the form f(x) with an arithmetical expression x. The return value of f(x) is either a floating-point number or a symbolic expression:
If x is a floating-point number and a can be converted to a floating-point number, then f(x) returns a floating-point number.
f(infinity) and f(-infinity) produce the result 0.0.
In all other cases, the expression is returned.
If floating-point results are desired, call f(x) with a floating-point value x.
Numerical values for a are only accepted if they are real and positive.
We evaluate the probability density function with a = at various points:
f := stats::tPDF(3/4): f(-infinity), f(-PI), f(1/2), f(0.5), f(3), f(infinity)
We use symbolic arguments:
f := stats::tPDF(a): f(x), f(0.3)
When numerical values are assigned to a, the function f starts to produce floating-point values for floating-point arguments:
a := PI: f(0.3)
delete f, a:
The shape parameter: an arithmetical expression representing a positive real value