Why maximise 'log' likelihood?

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  • เผยแพร่เมื่อ 9 ก.พ. 2025
  • In this video it is explained why it is, in practice, acceptable to maximise log likelihood as opposed to likelihood.
    Check out oxbridge-tutor.... for course materials, and information regarding updates on each of the courses. Check out ben-lambert.co... for course materials, and information regarding updates on each of the courses. Quite excitingly (for me at least), I am about to publish a whole series of new videos on Bayesian statistics on youtube. See here for information: ben-lambert.co... Accompanying this series, there will be a book: www.amazon.co....

ความคิดเห็น • 11

  • @Manny123-y3j
    @Manny123-y3j 3 ปีที่แล้ว

    My professor never explained why we log L. This makes it so clear. Thank you.

  • @ggggwwww1183
    @ggggwwww1183 6 ปีที่แล้ว +9

    One mistake: log likelihood l should be smaller than zero when L is smaller than 1.

  • @idrisssuleyman3893
    @idrisssuleyman3893 9 ปีที่แล้ว +43

    the idea here is

    • @rufatsadigov4375
      @rufatsadigov4375 6 ปีที่แล้ว

      one of the rare cases when it doesn't get on my nerves

  • @sukursukur3617
    @sukursukur3617 2 ปีที่แล้ว

    2:25 I couldnt find a reason to multiply f(xi | tetha) among them. Why?

  • @MrHugosky1
    @MrHugosky1 7 ปีที่แล้ว

    Thank you professor Lambert!

  • @goat9199
    @goat9199 6 ปีที่แล้ว

    Stat Quest GANGSTAAZ, they BAD TO THE BOOOONE.

  • @samah241
    @samah241 8 ปีที่แล้ว

    what is penalized likelihood ?

  • @igorrizhyi5572
    @igorrizhyi5572 6 ปีที่แล้ว +1

    was not clear unfortunantly

    • @igorrizhyi5572
      @igorrizhyi5572 6 ปีที่แล้ว

      ok, i think i got it. if somebody will stack into the same problem of understanding this material i can recommend this url - en.wikipedia.org/wiki/Monotonic_function

    • @lastua8562
      @lastua8562 4 ปีที่แล้ว +2

      @@igorrizhyi5572 Hmm I know what a monotonic f is, though this is not entirely clear to me.
      1) Why do we maximize likelihood at the same point IF we have monotony (4:50)? answer: whenever L is increasing, l also is. Hence, they reach extreme points in tandem.
      2) When did we prove that dl/dL is monotonic? answer: it just follows from the calculation. l = log(L)
      I answered the questions myself, thanks.