Central limit theorem b: Optional derivation (special case)

Name: Central limit theorem b: Optional derivation (special case)
Uploaded: 2014-09-25T03:59:41+00:00
Duration: 9 min 2 s
Channel: David Liao
Description: In some situations, when the number of coin tosses is large, Stirling's approximation can be applied to factorials that appear in the expression for the binomial distribution. The resulting expression is basically an exponential function of a quadratic function with a negative leading coefficient. This is the hallmark of a Gaussian distribution.

In some situations, when the number of coin tosses is large, Stirling's approximation can be applied to factorials that appear in the expression for the binomial distribution. The resulting expression is basically an exponential function of a quadratic function with a negative leading coefficient. This is the hallmark of a Gaussian distribution.