Probability Foundation for Electrical Engineers by Dr. Krishna Jagannathan,Department of Electrical Engineering,IIT Madras.For more details on NPTEL visit nptel.ac.in
you are amazing, i didn't get anything from my lecture and here i understood everything thanks to you. This is what a great math prof is like, I suppose, aspecially in the field of stochastic, where the most of the students struggle. You just make it so easy to understand.
Why are we restricting the study of uncountable sample spaces to only this particular sample space (0,1]. Shouldn't we be studying arbitrary uncountable sample spaces? And even if we want to study only subsets of R why did we choose only this particular interval? Borel sets are defined for whole R. Sir please explain.
great video, but there's one error. F0 was defined to contain disjoint sets of the type (a,b], but while proving that it's not a sigma algebra and while showing that the sigma algebra generated by F0 is a Borel algebra, nested sequence of sets were assumed to be in F0
I think there is small error in proving singleton is boreal set. Because(b-1/n, b+1/n) intersect \Omega = (b-1/n,1] for some n. which can not say is a boreal set without prove. {1} should be proved seperately with singleton in (0,1).
you are amazing, i didn't get anything from my lecture and here i understood everything thanks to you. This is what a great math prof is like, I suppose, aspecially in the field of stochastic, where the most of the students struggle. You just make it so easy to understand.
ua-cam.com/video/Xm_WQ9aMOYI/v-deo.html
Hi, i am new to learning Stochastic. Can you please help me out by suggesting some books for Stochastic basic?
@@viidiiiiz why
WOW!! Absolute peach of the explanation. Mathematics at is very best.
These are amazing lectures! Thank you!
ERRATUM: (32:45) Caratheodory is a Greek mathematician
@@rationalindian7516 😂😂😂
Erratum needs CORRIGENDUM: Caratheodory was a German mathematician
Great professor and clear explanations. Keep up the good work!
awesome!!! Thank you!!
This is one of the best lectures on the topic
i guess that''s why it has the most dislikes of all x)
ua-cam.com/video/Xm_WQ9aMOYI/v-deo.html
awesome lectures. But can you please ask the camera man to keep the camera on the board? the constant movement makes it hard to focus on the subject
I lke thr indian vibe to the intro of each lecture.
Thank you sir
Why are we restricting the study of uncountable sample spaces to only this particular sample space (0,1]. Shouldn't we be studying arbitrary uncountable sample spaces? And even if we want to study only subsets of R why did we choose only this particular interval? Borel sets are defined for whole R. Sir please explain.
Its better to give the link for Lecture notes in the 'description' rather than an annotation on the video itself.... Thank you...
essential a sigma algebra is cauchy complete while algebras arent.
great video, but there's one error. F0 was defined to contain disjoint sets of the type (a,b], but while proving that it's not a sigma algebra and while showing that the sigma algebra generated by F0 is a Borel algebra, nested sequence of sets were assumed to be in F0
Any set in the nested sequence can be constructed from the finite union of the disjoint sets (a, b]
You both spotted correctly, it is just that professor did not say it explicitly.
Iit proffessors teaching online should learn from him
Prof is like "tablet says:how do you prove that ? 35:40
No todos los heroes llevan capa
Please explain. This was tougher than probability theory for me.
@@jayantpriyadarshi9266 not all heroes wear cape xD
Why is omega a borel set? isn't it a half closed interval, the intersection maybe half closed, like (b - 1, 1]
nvm I got it, the full omega must always be part of a sigm algebra
I think there is small error in proving singleton is boreal set. Because(b-1/n, b+1/n) intersect \Omega = (b-1/n,1] for some n. which can not say is a boreal set without prove. {1} should be proved seperately with singleton in (0,1).
time 11:16
ua-cam.com/video/Xm_WQ9aMOYI/v-deo.html
Hindi me explain sir