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1
vote
1answer
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Proportionality in Bayesian Models: What Is Absorbed?
Considering two Bayesian models:
Poisson Likelihood & Beta Prior:
$p(y|\lambda) \sim \text{Pois}(\lambda)$, $p(\lambda) \sim \text{Be}(a, b)$:
$$ p(\lambda|y) \propto ...
2
votes
2answers
330 views
How to use the SD of a normal sampling distribution to specify the gamma prior for the corresponding precision?
The gamma distribution is a commonly used prior distribution for the precision ($1/sd^2$) of a normal distribution in Bayesian hierarchical modeling. I want to use an informed prior for the variance ...
5
votes
1answer
127 views
Accounting for discrete or binary parameters in Bayesian information criterion
BIC penalizes based on the number of parameters. What if some of the parameters are some sort of binary indicator variables? Do these count as full parameters? But I can combine $m$ binary parameters ...