Pierre Simon Laplace, Inverse Probability, Central Limit Theorem, Probability, Deep Dives.
if you set a = x + 1 and b = n — x + 1, you will transform Beta(a, b) into the definite integral of interest as follows: The normalization term in Laplace’s formula expressed using the Beta integral (Image by Author) In summary, using the Beta function Laplace’s formula for inverse probability can