@@cachelackmathstatslectures7001 I have wasted a few hours of my time listening to that rubbish. I hoped you did something worthful, but you did not. You should put more attention to the mathematical correctness of that what you are talking about. So as you have presented it here it is mathematically unacceptable!
@57:48 NO, SIr !! FIrst you must DEFINE what such a shit with infinity under the sum sign means !! In the usual course of calculus that what stands under the sum sign is either 0 or 1. Sometimes it is 2, but it is ALWAYS something finite !! Taking here -∞, can suggest you take the Lebesque integral here with the counting measure, but you must say it clear. Otherwise all what you say later is wasting the air you breathe with to say it !! Then of course, you must PROVE that if the \theta^2 is intergable, the product of theta and w (pointwise, or almost everywhere, or stochastically? - w_t is a random variable) is integrable. Can you do it ?!!
I am taking the lecture series on Measure Theory on this channel and indeed, lecture 6 proves the way from indicator to simple function to measurable functions.
@@lassetretten4379 Well, if only one person notices that the lecturer is talking nonsense, then you must have a very weak year group, or you are all cowards.
Infinite thanks to you. I was desperately looking for a good material to learn time series analysis basics. The topics are explained amazing.
Thank you for taking the time to share these lectures! All the material is so clearly explained!
Thank you sir for do this. It recently help me greatly in writing my undergraduate project. I was total lost until I found this. God bless you sir❤
Thank you very much for such a high quality course!
Thank you very much Sir. this is a very helpful series oflectures.
Excellent Course!!!
👍
thank you
You're Welcome!
@@cachelackmathstatslectures7001 I have wasted a few hours of my time listening to that rubbish. I hoped you did something worthful, but you did not.
You should put more attention to the mathematical correctness of that what you are talking about. So as you have presented it here it is mathematically unacceptable!
Thank you so much 😊
No entendí la varianza de la ultima sumatoria, por que queda elevado a "2j" ?
Dear professor, thank you so much for uploading this. It's very helpful! Could you kindly also provide the course assignments, just for reference?
that is a stack of rubbish. nothing more !
Shouldn't the denominator in the partial sum in 1:09:26 be (1-\theta) and not (1-\theta^2)?
@17:21 What is "t" here. What values is it allowed to take ??
@55:50 shouldn't you first define what thw "double" sum \sum_{n-\infty}^{+\infty}(\theta_nw_n) means ??
@57:48 NO, SIr !! FIrst you must DEFINE what such a shit with infinity under the sum sign means !!
In the usual course of calculus that what stands under the sum sign is either 0 or 1. Sometimes it is 2, but it is ALWAYS something finite !!
Taking here -∞, can suggest you take the Lebesque integral here with the counting measure, but you must say it clear.
Otherwise all what you say later is wasting the air you breathe with to say it !!
Then of course, you must PROVE that if the \theta^2 is intergable, the product of theta and w (pointwise, or almost everywhere, or stochastically? - w_t is a random variable) is integrable. Can you do it ?!!
skill issue, cry more
@@stabgan If you have nothing sensible to say, just keep quiet!
I am taking the lecture series on Measure Theory on this channel and indeed, lecture 6 proves the way from indicator to simple function to measurable functions.
In every class I took there were always one of these guys ...
Great video btw! Looking forward to the next ones :)
@@lassetretten4379 Well, if only one person notices that the lecturer is talking nonsense, then you must have a very weak year group, or you are all cowards.