20. Central Limit Theorem

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  • เผยแพร่เมื่อ 27 พ.ย. 2024

ความคิดเห็น • 21

  • @raksahv7860
    @raksahv7860 3 ปีที่แล้ว +10

    Thank you Sir, Just wanted to say thank you, for giving me a deeper insight into probability. I studied this from the 1st lecture to this. I will study the last 5 lectures later on.

    • @TCS_School
      @TCS_School 2 ปีที่แล้ว +3

      The same for me, it was an amazing experience in the intuitive understanding of some of probability theory terminology. Also his co-author textbook is so valuable and in the book they gave CLT as the last thing.

  • @BoutinMathieu
    @BoutinMathieu 9 ปีที่แล้ว +27

    An error is made at 21:50, but is then corrected at 23:48.

    • @aniruddhnls
      @aniruddhnls 6 ปีที่แล้ว

      at 15:02 he says the pmf's have approximated to normal. Before at 9:16 he said pmt's do not approximate.????

    • @vivekrai1974
      @vivekrai1974 4 ปีที่แล้ว +1

      @@aniruddhnls This is because at 9:16 he takes n =8 and at 15:02 he takes n = 16 and more. In a nutshell, (as he explains later), if the distribution is skewed you have to take a larger n to approximate normal distribution.

  • @barbazzfoo
    @barbazzfoo 4 ปีที่แล้ว +8

    this prof is so good at lecturing

    • @Adityarm.08
      @Adityarm.08 ปีที่แล้ว +1

      +1, i didn't really like statistics, but this lecture series has completely changed it for me.

  • @limzphotography4363
    @limzphotography4363 2 ปีที่แล้ว +1

    In love with course outline

  • @Adnan_19946
    @Adnan_19946 หลายเดือนก่อน +1

    Mid point integration is like, we both can’t be right so lets settle on being half wrong each 😂

  • @xueqiang-michaelpan9606
    @xueqiang-michaelpan9606 7 ปีที่แล้ว +6

    the puzzle is really good!

  • @alejandromaciel8031
    @alejandromaciel8031 ปีที่แล้ว

    godly lecture skills. what a man

  • @Starr169
    @Starr169 9 ปีที่แล้ว +4

    One of my students suggested a short cut to calculate probability P(Z>2) without using 1-P(Z2) is equal to P(Z

    • @shailendrapatil994
      @shailendrapatil994 8 ปีที่แล้ว +2

      Thats true because we assume a normal distribution and as it is symmetric , the value will be the same

    • @nathansherrard4111
      @nathansherrard4111 7 ปีที่แล้ว +9

      The potential issue is that most normal tables only show Z >= 0, accounting for that symmetry to save table space.

    • @aniruddhnls
      @aniruddhnls 6 ปีที่แล้ว

      at 15:02 he says the pmf's have approximated to normal. Before at 9:16 he said pmt's do not approximate.????

    • @rajinfootonchuriquen
      @rajinfootonchuriquen 2 ปีที่แล้ว +1

      @@aniruddhnls watch all the lecture. He literally explain that pmf of Bernoulli is a special case

  • @billmichae
    @billmichae 3 ปีที่แล้ว

    Excellent Prof!!! ElGrecoProf++

  • @teddonaville1151
    @teddonaville1151 3 ปีที่แล้ว +1

    i only understood pdf

  • @MohdZaid-cl3cg
    @MohdZaid-cl3cg 5 ปีที่แล้ว

    how is standard deviation is f(1-f)..at 19:40 ???

    • @mohamedlehbib7116
      @mohamedlehbib7116 4 ปีที่แล้ว +1

      It is 9 month later but f(1-f) because we have a binomial distribution with a mean equal to f, so the variance would be f(1-f)