TPR
This function evaluates the Student’s t probability density function.
Function Return Value
TPR — Function value, the value of the probability density function. (Output)
Required Arguments
T — Argument for which the Student’s t probability density function is to be evaluated. (Input)
DF — Degrees of freedom. (Input)
DF must be greater than or equal to 1.0.
FORTRAN 90 Interface
Generic: TPR (T, DF)
Specific: The specific interface names are S_TPR and D_TPR
FORTRAN 77 Interface
Single: TPR (T, DF)
Double: The double precision name is DTPR.
Description
The function TPR evaluates the Student’s t probability density function, defined as
Where ν = DF.
The normalizing factor uses the Beta function,
BETA (see S
Chapter 4, “Gamma Functions and Related Functions”).
Example
In this example, we evaluate the probability function at T = 1.5, DF = 10.0.
USE UMACH_INT
USE TPR_INT
IMPLICIT NONE
INTEGER NOUT
REAL T, DF, PR
CALL UMACH(2, NOUT)
T = 1.5
DF = 10.0
PR = TPR(T, DF)
WRITE (NOUT, 99999) T, DF, PR
99999 FORMAT (' TPR(', F4.2, ', ', F6.2, ') = ', F6.4)
END
Output
TPR(1.50, 10.00) = 0.1274
