513 reputation
319
bio website
location Canada
age 38
visits member for 3 years, 8 months
seen Oct 14 at 19:08

To see Latex in chat: go to http://www.math.ucla.edu/~robjohn/math/mathjax.html Click on bookmark every time I enter the Chat

To hide text for hints: >!


Mar
6
revised Independence of valuations
name book and a typo
Mar
6
suggested suggested edit on Independence of valuations
Mar
3
awarded  Commentator
Mar
3
comment Does exceptionalism persist as sample size gets large?
@Shai, Yes I agree your result is correct. They take $X_{n,n}$ as minimum, so the order is decreasing. I also take back my comment that the difference goes to 0; in fact for exponential with parameter 1, it goes to 1. However, there must be a relation between the pdf and that limit.
Mar
3
comment Does exceptionalism persist as sample size gets large?
@Shai, you can see it also here: jstor.org/pss/2332028
Mar
3
comment Does exceptionalism persist as sample size gets large?
"Expected values of normal order statistics", Biometrika, 48
Mar
3
comment Does exceptionalism persist as sample size gets large?
What I found is that $$ {\rm E}[X_{r + 1:n} - X_{r:n} ] = {n \choose r}\int_{ - \infty }^\infty {[1-F(x)]^r [F(x)]^{n - r}\, dx} ,\;\; r = 1, \ldots ,n - 1. $$ If the pdf is symmetric, such as normal, it wouldn't matter, but if the pdf is not symmetric, it matters. I think the difference between the largest and the second largest goes to 0 when n increases for any continuous real distribution. Intuitively, it makes sense.
Mar
1
comment Discrete maths fundamentals
Possible duplicate:math.stackexchange.com/questions/1533/… and math.stackexchange.com/questions/350/…
Mar
1
answered Prove that two any consecutive terms of Fibonacci sequence are relatively prime
Mar
1
revised Help understanding tensoring of exact sequences
added 1 characters in body
Mar
1
awarded  Editor
Mar
1
comment Help understanding tensoring of exact sequences
Thanks. I modified it.
Mar
1
revised Help understanding tensoring of exact sequences
deleted 39 characters in body; added 1 characters in body
Mar
1
answered Help understanding tensoring of exact sequences
Feb
27
awarded  Supporter
Feb
27
awarded  Teacher
Feb
24
awarded  Quorum
Feb
19
awarded  Scholar
Feb
19
accepted What conic curve is the graph of y=sin(x) from 0 to pi?
Feb
19
awarded  Student