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5 votes
Accepted

Applying Bayesian probability to a generalized Monty Hall problem

I agree with you, but there's a big "however" following this opening section: it doesn't matter why he picks the door, as long as the door has the goat behind it. The presence of the goat ...
jbowman's user avatar
  • 40.5k
2 votes
Accepted

Birnbaum's Theorem: Strong belief in a model $\implies$ the likelihood function must be used as a data reduction device?

No, a strong belief in a model does not require that we maintain consistency with all these principles. To explain the reason, we need to describe some historical background from around 1962 when ...
Graham Bornholt's user avatar
2 votes

Why do Denoising Diffusion Probabilistic Models (DDPM) add noise according to $\sigma_t$ during sampling?

This is very late, but I had the exact same confusion and managed to resolve it! Your comment earlier about the expression making more sense if it were $\sigma_{t-1}$ is the correct intuition, and is ...
Alex Nguyen-Le's user avatar
1 vote
Accepted

Formal definition of sufficient statistic

I am failing to see any problem. For a collection of probability measures $\mathfrak M:=\{P_\theta,\theta\in\Theta\},$ the statistic $T$ is sufficient if there exists a version of $\mathbf E_\theta [1\...
User1865345's user avatar
  • 9,427

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