Measure Theoretic Probability: Lesson 24

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  • Опубликовано: 8 фев 2025
  • More Properties of Expectation, Independence for Random Variables, Passing Infinite Sums Through Expectations

Комментарии • 12

  • @mohiuddinsifat5896
    @mohiuddinsifat5896 2 месяца назад +2

    This semester, I am taking a course in probability theory, and I encountered some confusion about the Borel-Cantelli Lemma. So I watched one of your videos, and I was amazed by how simply and effectively you explained the concept-your teaching could make even a kindergarten student grasp it! I quickly became hooked on your entire probability measure series and ended up watching all the videos. Now, I’m eagerly looking forward to the next installments in the series.

    • @AProbabilitySpace
      @AProbabilitySpace  2 месяца назад +1

      You don't know how much I appreciate hearing this. Thank you!

  • @bo3thman917
    @bo3thman917 2 месяца назад +2

    I bought “The Simple and Infinite Joy of Mathematical Statistics” and just finished chapter 0. Thank you for this amazing book.

  • @SoumyadeepRoy-xt9ty
    @SoumyadeepRoy-xt9ty 3 месяца назад +5

    impatiently waiting for your videos on measure theoritic probability,please continue uploading !

  • @michaelkalin2209
    @michaelkalin2209 3 месяца назад +2

    wow, surprised i'm just now stumbling on your content. your videos are phenomenal. thank you so much for maintaining this channel!

  • @ilkerertas
    @ilkerertas Месяц назад

    Thanks!

  • @oyku9952
    @oyku9952 Месяц назад

    i’m so grateful for your videos-they’re seriously the best thing ever! you explain concepts so clearly, and it’s been a huge help for me. thank you for all the effort you put into them.
    any chance you’ll doing anything on conditional expectation and martingales? would totally be here for it. thanks again, and sending lots of good vibes your way!

    • @AProbabilitySpace
      @AProbabilitySpace  Месяц назад

      Thank you so much for your kind words! I'll absolutely be getting into conditional expectation and martingales soon. I have been working on a bunch of videos and holding them back so that I can start posting more frequently and consistently in the new year as opposed to the very sporadic stuff I've been doing. The good vibes are much appreciated-- I'm sending some back at you! 😀

  • @ryanchicago6028
    @ryanchicago6028 3 месяца назад

    Would it be possible to have an irrational comb? Perhaps a random one? Would there be a way that the (countable) set of irrational gaps in a rational comb have the same measure as the rational gaps in an irrational comb? We can never know for sure!?! Not without being rational!