- #1
JoAuSc
- 198
- 1
I recently learned that if you minimize these functions with respect to "a", you get the mean and the median respectively:
[tex]\sum (y_i - a)^2[/tex]
[tex]\sum |y_i - a|[/tex]
What would you get if you minimized an expression like [tex]\sum |y_i - a|^n [/tex] for various n's? Do the resulting expressions have any use, or are they just a slightly different, more complicated mean?
[tex]\sum (y_i - a)^2[/tex]
[tex]\sum |y_i - a|[/tex]
What would you get if you minimized an expression like [tex]\sum |y_i - a|^n [/tex] for various n's? Do the resulting expressions have any use, or are they just a slightly different, more complicated mean?