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Nov 1, 2013 at 5:14 comment added ofer zeitouni As I wrote in my answer: the method is the same as in the papers I quoted, at least if k is a fraction of n or if it goes to zero with n as in the second reference (fluctuations in k will not destroy the method, which uses Chen-Stein). You can also easily de-randomize by starting with the random case, noting the monotonicity in $k$ and using an a-priori estimate on the fluctuations of $k$ when it is random.
Nov 1, 2013 at 2:22 comment added Abhijit k is not random but given. I mean I intend to get the joint or conditional distribution with k.
Oct 30, 2013 at 2:54 history answered ofer zeitouni CC BY-SA 3.0