- #1
mpv55
- 9
- 0
Recently, I was reading the Dixon (Annals Math. Stat. 22, (1951) 68-78) method for extreme (outliers) values. He considered that there are n ordered values (x1, x2, ...xn) of an analytical measurement. The values belong to a normal distribution. He defined two equations:
1. For Critical value
r01=[tex]\frac{xn-xn-1}{xn-x1}[/tex]
2. The density function for x1, xn-1, xn is
[tex]\frac{n!}{(n-3)!}[/tex]f(x1)dx1([tex]\ointx1xn-1f(t)dt[/tex])n-3 f(xn-1)dxn-1f(xn) dxn
I will appreciate if someone explains the derivation of the density function or site some reference which explains it.
Thanks
1. For Critical value
r01=[tex]\frac{xn-xn-1}{xn-x1}[/tex]
2. The density function for x1, xn-1, xn is
[tex]\frac{n!}{(n-3)!}[/tex]f(x1)dx1([tex]\ointx1xn-1f(t)dt[/tex])n-3 f(xn-1)dxn-1f(xn) dxn
I will appreciate if someone explains the derivation of the density function or site some reference which explains it.
Thanks
Last edited: