# Stats - mle poisson distribution -- quick question

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?

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haruspex
Homework Helper
Gold Member
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?