How is Stirling formula derived?
How is Stirling formula derived? =exp(−n+nlnn)∫∞0exp(−(x−n)22n)dx(2)=n! This is calculable by analogy with the Gaussian distribution, where P(x)=1√2πσexp(−(x−−x)22σ2). Given the sum of all probabilities ∫∞−∞P(x)dx=1, it follows √2πσ=∫∞−∞exp(−(x−−x)22σ2)dx. Note that the lower bound on the integral has changed from −∞ to 0. What is Stirling central difference formula? Stirling’s formula, also called Stirling’s approximation, in analysis, […]