jrfawkes

08-03-2010, 07:58 PM

It’s been a while since I’ve done much probability stuff, but I’ve come across a problem in some auction theory work that I’m doing and was hoping that someone could at least point me in a fruitful direction:

Say you select a fairly small random sample (say size N) from some continuous distribution (could be normal or uniform if it would make things easier). Then you remove the n largest observations from your sample. What would be the expected value of the remaining observations?

Is this a silly question? Is there a fairly simple answer? Do I need to start delving into the world of order statistics or some such? Any help would be appreciated.

Say you select a fairly small random sample (say size N) from some continuous distribution (could be normal or uniform if it would make things easier). Then you remove the n largest observations from your sample. What would be the expected value of the remaining observations?

Is this a silly question? Is there a fairly simple answer? Do I need to start delving into the world of order statistics or some such? Any help would be appreciated.