# Homework Help: Stats - mle poisson distribution -- quick question

1. Jan 7, 2015

### binbagsss

This is probably a stupid question , but,

It's easy enough to show that the mle of a poission distribution is $\bar{x}$: $\hat{ \lambda}= \bar{x}$

But,I'm then looking at the generalized ratio test section of my book, multinomial, it esitmates $\lambda$ for some data by $\sum \frac{( number X frequency that number occurred)}{ n}$

how are these 2 equivalent?