The joint pdf of X ( i) and X ( j ) where i<j is solved in an identical fashion. If we call the joint pdf f(x,y) then f(x,y) is 0 unless x<y. If x<y then f(x,y)dxdy!P(i-1 X's in (-",x], 1 of the X's in (x,x+dx), j-i-1 X's in [x+dx,y), 1 of the X's in [y,y
Renewal Counting Processes
We consider a point process where the times between points are iid X, !0, P(X=0)<1 (which also implies =E(X)>0). A new item is installed in a system and remains there until it fails. When it fails it is replaced (a renewal occur
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