Multivariate normal distributions

The mathematical form of the multivariate normal (Gaussian) distribution, and five useful properties of this distribution

[debasiskar]

Analogy with bivariate is shown very elegantly. Thanks.

[karina_tai]

Thank you! Concepts are very well-explained!

[FauzaanSharieff]

Mr Baker's teaching is very well and clear! And am I the only one who thinks he looks and sounds like Woody from Toy Story?

[爸爸到底-sx]

Is there a way to derive the marginal pdf of each component X_i without resorting to the moment generating function?

[ks.]

Important concepts, clear explained! thanks

[mohamedelmoghrabi]

Is it possible for a PDF copy of the lecture

[aali]

Thank You, you helped me understand.

[abhinavdaggubelli]

But, we can't say anything about the independence b/w two random variables provided the Covariance between them is zero, right? Then how is 4th property working? Can you clarify please.

[rahul_a]

After finding so many videos over the topic my research ends here...

[spyhunter]

How can we get for n random x values in one data set, n mean values? I mean if I have a data set with Gaussian shape, shouldn't have only one mean and sigma. Bu the way, I have a histogram showing counts per channel up to 1024 channels for instance.
The example you gave at the minute of 13.14, how would you construct it if you had one mean and one sigma but a vector of random variables as in my example I tried to explain above? (instead of having the mean and Sigma matrices) Actually, in that exmple at the minute of 15.00, you decided to change x matrix having x1 and x1 variables to x (underlined matrix with x1 vector and x2 vector . That confused everything.

[inaswulanramadhani]

Excuse me, sir. Thank you for the video. But I don’t understand yet. Can you please give us an example about how to find variance and covariance of random vector, if expected values is real number?