Measure Theoretic Probability, Lesson 3

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  1. A Probability Space
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Комментарии
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This is the most pedagogical math professor I've ever witnessed.

johnmoller
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please make the extra video on Borel sets !!

benjamintreitz
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These are excellent and really filling a gap on mathy youtube. Thanks and keep going!

Cid
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Finally! I have been waiting for this ❤

TheTacticalDood
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Thank you, great video ! But the thing i dont understand is why we include all these elements in F ? Do A and Aᶜ make omega? Also omega should contain both A and Aᶜ.

putin_navsegda
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Hello I have a question we were tasked to prove that the probability measure is countably additive. In my proof, I assume some disjoint collection of subsets A_i and I consider two cases wherein all A_i 's are nonempty (case 1) and there are some A_i's that are empty (case 2). I don't have any idea how to start the proof in case 1. Do you have any idea how to prove it using the assumption in case 1? Thanks for the reply

jessemichaellituanas
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Awsome. Is not( i^ 2)^2 a real number and positive. The spread ( say a number to i with a smaller than i imiganary. ) BUT THE IMIGANARY SPREAD SQUARED IS POSITIVE. SO THATS WHY PROBABILITY MUST BE POSITIVE. IF NEGATIVE PROBABILITY THATS NOT DEFINED YET. THANKS.

moorecable