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Probability Density Function
t-Distribution
Degrees of Freedom (df / n):
Distribution Comparison Properties
Convergence Visualization
This comparison displays multiple t-distributions simultaneously (df = 3, 5, 15, 30). Notice how the curve shifts upward and the tail thickness decreases towards the Standard Normal curve ($N(0, 1)$) as the degrees of freedom increase.
Standard Normal PDF
Student's t-Distribution PDF