You're a true professor. Do you know who is called a professor? it's not the one who can assimilate knowledge, but the one who can transform knowledge from higher dimensional space into lower dimensional space, so uninitiated people can learn! Thank you professor for sharing your gifted teaching ability with us.
@@cachelackmathstatslectures7001 You lectures lies above the 3 sd . There are lot of vidoes and prof which are not being able to make things simple and you are make it easy and asseome. Thanku and hope you have a great day. Thanku sir
Prof Kashlak, excellent lecture. I believe at 40:27, it should be the union of [-i,-i-1]. Your union can be made disjoint if you use half-open intervals, [i,i+1), etc. , defining m([a,b})=m[[a,b]]=b-a. Thanks to you, your school for the great lecture, material. I know all this is obvious to you, guess yu just made a small mistake.
Why the measure (which is a function) need to be countable additive? Specifically, the equation given for the countable additive seems obvious; so I am curious if there is any non-trivial measure (function) that makes the equation not hold (i.e., it's not crafted specifically to violate countable additivity)?
any good book for introduction to measure theory and probability? I am currently reading through the Measure Theory by D.H.Fremlin but it's kinda hard to wrap my head around...
You're a true professor.
Do you know who is called a professor?
it's not the one who can assimilate knowledge, but the one who can transform knowledge from higher dimensional space into lower dimensional space, so uninitiated people can learn!
Thank you professor for sharing your gifted teaching ability with us.
God bless your kind soul! No words can express my appreciation for you.
You're so clearly explained! Thank you so much for uploading this.
I just opened your video, and your opening is awesome. I can't wait to watch it !!
I'm glad you like it. I was inspired to create it by the Banach-Tarski paradox. (still need to finish my lecture on that topic)
@@cachelackmathstatslectures7001
Respected Sir,
Please complete the lectures.
Your lectures are amazing and easy to understand for beginners like me.
@@cachelackmathstatslectures7001 You lectures lies above the 3 sd . There are lot of vidoes and prof which are not being able to make things simple and you are make it easy and asseome. Thanku and hope you have a great day.
Thanku sir
Thanks for sharing! Greetings from Spain
Thank you so much, this was really helpful for me. I wish I had you as a Professor. It would be unimaginable if my professor followed your program.
Prof Kashlak, excellent lecture. I believe at 40:27, it should be the union of [-i,-i-1]. Your union can be made disjoint if you use half-open intervals, [i,i+1), etc. , defining m([a,b})=m[[a,b]]=b-a. Thanks to you, your school for the great lecture, material. I know all this is obvious to you, guess yu just made a small mistake.
thank you so much for transforming such a tedious topic into an interesting one.
Finally I got the measure theory. Thank you so much! Can you do the same with the Functional Analysis?
Realy clever explanation❤❤❤
Thank you professor for sharing the lecture, it helped me a lot!
Finally an explenation I understand!! Thanks
Wow these lectures are great! keep it up!
WHAT A NICE INTRO. I will stay!
Thanks you for your sharing! I need advanced probability source snd I am lucky to have your course!
Hey thanks for the vid. Im a Caltech student and this a great intro the Measure theory
Thank you! This is brilliant!
Love this, thank you so much professor!
fantastic
I'm a sophomore undegrad at Caltech, and your videos are pulling me through this grad level probability class. Thank you
Any advice on how to get into Caltech? I'm dreaming of studying math
@@arctan-k have rich parents
great advanced probability theorem based on measure theory , enjoy watching it . Dear professor, will you upload more statistics course in future?
Why the measure (which is a function) need to be countable additive? Specifically, the equation given for the countable additive seems obvious; so I am curious if there is any non-trivial measure (function) that makes the equation not hold (i.e., it's not crafted specifically to violate countable additivity)?
Is it any textbook for reference? Thank you so much!
sites.ualberta.ca/~kashlak/data/stat571.pdf
any good book for introduction to measure theory and probability? I am currently reading through the Measure Theory by D.H.Fremlin but it's kinda hard to wrap my head around...
Nice lecture
Hello Professor, can you tell me how your board application is called? Thank you in advance!
Sir, what book do you recommend for studying probabilistic measure theory?
do you have books for this class？thanks