What are order statistics?

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  • Опубліковано 18 січ 2025

КОМЕНТАРІ • 15

  • @EquitableEquations
    @EquitableEquations  2 роки тому

    You can find materials from this vid (and others) at github.com/equitable-equations/youtube.

  • @haodayu2265
    @haodayu2265 Місяць тому +1

    This is a much more straightforward explanation than how my professor taught it in lecture. Thanks for the content.

  • @jinyoungkim4532
    @jinyoungkim4532 2 роки тому +10

    This is a lifesaver! I hate how every other UA-cam video doesn't even tell you what order statistics is and rambles. This is super clear.

  • @biancavanzile2473
    @biancavanzile2473 Місяць тому +1

    Very helpful video

  • @jakeaustria5445
    @jakeaustria5445 5 днів тому

    Thank Youuu. You saved my time when I am trying to solve volumes of hypercebes just to solve the PDF of the order statistics of a uniform r.v.

  • @nabilmahmoud608
    @nabilmahmoud608 Рік тому +1

    Outstanding!!!

  • @jonathanb6960
    @jonathanb6960 Рік тому +1

    One question, in 6:07 why isn’t the inequality the other way around? I mean the higher the order statistic the more restrictive we are and the therefore the cdf’s get smaller not larger

  • @jackcashman1190
    @jackcashman1190 Рік тому +1

    Really great video!

  • @joshmccraney4020
    @joshmccraney4020 Рік тому +3

    Why is it "at least 4 of 5 X_i must be less than y" and not "exactly 4 of 5..."? I mean, if all 5 were less than we are computing a different order statistic, right (namely the 5th)?

    • @lonesailor6175
      @lonesailor6175 Рік тому +1

      I think I can answer this one :
      It's because when "Y5 is less than y" then "Y4 is less than y too" because Y5>Y4
      Which means you need to include it in the probabilities even if, as you said, it's not really what we're aiming for.
      Thank you

  • @EnmanuelFernandez-ix5yw
    @EnmanuelFernandez-ix5yw Місяць тому

    thank you so much sir

  • @diasakimbay1631
    @diasakimbay1631 2 роки тому

    Why do we need to order samples for transforming to a new function if random variables(in pdf) are distributed in order? Could you give examples why set of random variables and ordered variables in pdf are the same?

  • @bartlibens1620
    @bartlibens1620 7 місяців тому

    F(y) ⁵ = [p(y)*y ]⁵ not y⁵?