wiki:maths:poisson

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
wiki:maths:poisson [2024/11/04 20:07] Roy Proutywiki:maths:poisson [2024/11/04 20:14] (current) Roy Prouty
Line 22: Line 22:
 ==== Approach to Normal ==== ==== Approach to Normal ====
  
-In the limit of large average rates, the Poisson Distribution becomes indistinguishable from the Normal Distribution.+In the limit of large average rates, the Poisson Distribution becomes indistinguishable from the [[wiki:maths:normal|Normal Distribution]].
  
 That is, as $\lambda$ becomes large, $\mathcal{Pois}(\lambda) \rightarrow \mathcal{Norm}(\mu=\lambda, \sigma=\sqrt{\lambda})$ That is, as $\lambda$ becomes large, $\mathcal{Pois}(\lambda) \rightarrow \mathcal{Norm}(\mu=\lambda, \sigma=\sqrt{\lambda})$
  
 +{{ :wiki:maths:lowl.png?400 |}}
 +
 +{{ :wiki:maths:highl.png?400 |}}