isnt the (probability of x given theta) = (probability of theta given x)(probability x)/(probability theta) If this is the case, the "likelihood function" as you defined, is it really equal to the probability of x given theta ? If so, why, since it is missing those two terms extra terms?
That is true in a Bayesian setting, where the parameters in a given model are treated as being random. The point of maximum likelihood estimation, on the other hand, and Frequentist inference is we treat parameters as being static, such that we can estimate them. I wish the author had written in the more common notation for density for MLE, with f(x ; theta) instead of f(x given theta), it's confusing when this isn't known. Btw you are correct, so Bayes theorem works for densities too! p(theta) is the density of the parameter, p(theta given x) is the parameter conditioned on the data (the thing we want!) and p(x) the normalizing constant. Bayesian inference is basically the science of picking a prior based on objective/subjective mathematical means.
Thank you so much. Now it all makes sense. I had difficulty grasping the idea of MLE, but with your explanation I feel confident going back to the lectures and being able to follow them.
You all probably dont care at all but does any of you know of a way to log back into an instagram account?? I was stupid lost my password. I love any tips you can offer me
AIC - the lower the better, LL - the higher the better, but both measure the same concept, so using both is a redundancy, one will suffice (as one will always go down when the other goes up judging by the formula). Did i get it right?
Best MLE video on RUclips! Thank you :)
Matthew you are awesome.
I wish you did a video on Bayesian too. Bayesian, MCMC one please??
isnt the (probability of x given theta) = (probability of theta given x)(probability x)/(probability theta)
If this is the case, the "likelihood function" as you defined, is it really equal to the probability of x given theta ?
If so, why, since it is missing those two terms extra terms?
Fahraynk I have the same question, please tell me when you found an answer.
That is true in a Bayesian setting, where the parameters in a given model are treated as being random.
The point of maximum likelihood estimation, on the other hand, and Frequentist inference is we treat parameters as being static, such that we can estimate them. I wish the author had written in the more common notation for density for MLE, with f(x ; theta) instead of f(x given theta), it's confusing when this isn't known.
Btw you are correct, so Bayes theorem works for densities too! p(theta) is the density of the parameter, p(theta given x) is the parameter conditioned on the data (the thing we want!) and p(x) the normalizing constant. Bayesian inference is basically the science of picking a prior based on objective/subjective mathematical means.
Great explanation. Clear, structured and explained in simple understandable terms. Thanks for taking the time to put this together.
Thank you so much. Now it all makes sense. I had difficulty grasping the idea of MLE, but with your explanation I feel confident going back to the lectures and being able to follow them.
Matthew you are outstanding as a teacher. Thank you for the many insights and teaching.
-Steve G.
You all probably dont care at all but does any of you know of a way to log back into an instagram account??
I was stupid lost my password. I love any tips you can offer me
Most clear explanation i have seen on RUclips thus far
Fantastic! Thank you so much for this super clear exposition.
Yeaahh thats the clear explanation
Nicely explained, thanks!
nice explanation...but i ended up cleaning my laptop screen.. after 4.49
AIC - the lower the better, LL - the higher the better, but both measure the same concept, so using both is a redundancy, one will suffice (as one will always go down when the other goes up judging by the formula). Did i get it right?
Thank you so much!! Such clear explanations!!
Great video man! Helped me a lot, all the best :D
بارك الله فيكم وجزاكم الله خير الجزاء
Really nice presentation
Thank you very much!
How does restricted maximum likelihood estimation change the description here?
Seriously good!
Amazing, I finally understood MLE
Really it is very interesting!! Thank You!!
It is interesting to me why they just do not divide AIC eqn. by 2.
Thank you for taking the time to make this video.
The last slide is gold
Thank you very much for your introduction!
you're amazing sir
Very helpful
cool! Good job!
this is great!
Thank you!
AWESOME!
thanks
Thankyou sir. Its very helpful. Can you please show the mathematical workout of this in figures?
Is likelihood same as probability?