sum problem about closing form

joshmccraney

[tex]\sum_{i=1}^{n} |(y_i-\theta)|=n\theta[/tex]

where theta is a fixed constant and [itex]y_i[/itex] is a discrete random variable. does anyone know how to rewrite in close form?? also, everytime i use latex it starts a new line. how can i fix this so i can type directly with my sentances?

thanks

HallsofIvy

Instead of using "tex" use "itex".

Stephen Tashi

It isn't clear what you mean by that equation. Are the [itex] y_i [/itex] random variables that are dependendent on each other in a way that forces [itex] \sum_{i=1}^n |(y_i-\theta)| [/itex] to always add up to be [itex] n \theta [/itex]?

Or are you using the notation "|...|" to mean "expected value" instead of "absolute value"?