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
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)?
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
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?
You can find materials from this vid (and others) at github.com/equitable-equations/youtube.
This is a much more straightforward explanation than how my professor taught it in lecture. Thanks for the content.
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.
Yay! I'm so glad it helped.
Very helpful video
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.
Outstanding!!!
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
Really great video!
Thanks 🤓🤓🤓
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)?
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
thank you so much sir
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?
F(y) ⁵ = [p(y)*y ]⁵ not y⁵?