Binomial Distribution 2: Canonical Link function

Previously, I demonstrated how to show that the binomial distribution is a member of the (natural) exponential family of distributions. This video tutorial demonstrates how to find the canonical link function of the binomial distribution.
These short videos work through mathematical details used in the Multivariate Statistical Modelling module at UWE.

[@deetoher]

You are very welcome. I mainly make these videos so that my students can use them as revision material; this is the level of detail I expect them to be able to (re)produce :)

[@scarfacek]

This video is amazing. You filled in all the blanks

[@madhukrishnann]

So clearly explained. I am very grateful to you.

[@voidsonvoid]

This was amazing. Thank you for posting.

[@jayjayf9699]

so basically the canonical link function is the link function in terms of the mean

[@yunbowang2764]

This is really helpful!

[@d1a2n3i5e8l]

Thank you

[@GiulianaVidal]

I need Deviance for Binomial, but i work with Brazilian books and use Y* = Yn... And will try with your notation for b(theta). Thanks

[@muhammadshahbaz1130]

GREAT EFFORT
THANKU

[@jayjayf9699]

Just came across your profile, you are a lecturer in the west of England, I am looking to do an actuary exam, do you recommend doing a MSc in Stats?

[@1CTProj3ct5]

Hi there,
Absolutely love this video! It's really helpful. Quick question though; when working out the expectation, I got
np +log(1+e^(theta))
Just wondering why it the answer is just np.
Thanks in advance if you can help :D

[@duane3000]

is it not (1+theta)^-1