Create a Random Sequence of Numbers within t-Distribution in R Programming – rt() Function

rt() function in R Language is used to create a random sequence of values from Student t-distribution.

Syntax: rt(n, df, ncp)

Parameters:
n: Number of observations
df: Degree of Freedom
ncp: Numeric vector of non-centrality parameters.

Example 1:

# R Program to create random sequence
# from t distribution

# Calling rt() Function
rt(15, 2)
rt(15, 1)

Output:

 [1]  2.09851925 -1.76883434 -0.56019367  0.23263458  1.02778818 -0.82274015
 [7] -1.33110401  4.19230931  0.80622707  0.02468189 -4.00469465  0.02974788
[13]  1.28649412 -0.19235704  0.21665196
 [1]   2.21010764 -11.70663704  -1.00452125   2.07828752   1.95781361
 [6]  -0.53603661   0.02068073  -1.32464307 -49.93080321   0.82594818
[11]  -0.46109805  -0.18965787   0.60498953  -0.44659619  -0.08968020

Example 2:

# R Program to create random sequence
# from t distribution

# Calling rt() Function
rt(5, 1, 1:5 * 5)
rt(5, 2, 1:10)

Output:

[1] 23.88663 20.26813 62.95437 14.59003 20.58296
[1]  0.1745755  4.5298859  1.1175184  7.4660938 45.1399588