content_image/302342.jpg content_image/302343.jpg content_image/302344.jpg
the interval 

4. Update each α i from the multinomial conditional distribution 

where A$_{i}$ = { α : π α > u$_{i}$ } . 

<img src='content_image/302342.jpg'>

<img src='content_image/302343.jpg'>

5. Assuming a gamma(1 , 1) hyperprior for β , update β by its conditional posterior 

<img src='content_image/302344.jpg'>

