3. Bayes Estimation Example

[@jonas25505]

All of your Videos are very helpfull to me. Thank you.

[@afifkhaja]

You beat the hell out of my textbook. Thank you!

[@ProfessorKnudson]

I'm happy to hear it! Good luck with your studies.

[@nvl901]

This was super helpful, thank you!

[@aminulhaque8026]

I thought the mean of the gamma distribution is Alpha/beta, so shouldn't our results be (sum xi + alpha) / (1 ( n + 1/beta)) instead of multiplying them?

[@ProfessorKnudson]

There's two ways to write the gamma distribution: one uses the "shape" parameter and the other uses the "rate" parameter. Essentially one has exp(-x * beta) and (beta)^alpha while the other has exp(-x/beta) and (1/beta)^alpha. The former has mean alpha/beta while the latter has mean alpha * beta.

[@ThefamousMrcroissant]

I can replicate it, but I've no idea what the hell I'm doing

[@ProfessorKnudson]

I think if you start doing some Bayesian statistical analysis, this will be better motivated and you'll see why you're doing it.

[@linkeris7994]

very excellent, ​your video helps me a lot, thx!

[@raghiunnikrishnan26]

It's very helpful.Thank you😄

[@zehraahmed8879]

good stuff. Helped a lot!

[@infinity-and-regards]

Thanks, but why are you sure you can derive the posterior with proportionality? i.e. are you sure the constant term will be the same as if you would calculate it all the way (without dropping the constant terms)?

[@ProfessorKnudson]

Yup, I'm sure. Look in any Bayesian book.