Hi, I try to simulate using NestWhileList. In each iteration a list of three elements is generated. The test is a condition on one of the elements.

NestWhileList[{RandomReal[
    ExponentialDistribution[\[Lambda] + 
      If[#[[2]] > 0, \[Mu], 0]]], #[[2]] + 
    2 RandomInteger[
      BernoulliDistribution[\[Lambda]/(\[Lambda] + 
        If[#[[2]] > 0, \[Mu], 0])]] - 
    1, #[[1]] + #[[3]]} &, {RandomReal[
   ExponentialDistribution[\[Lambda]]], 0, 0}, #[[3]] & < T]

Yet, it does nothing, in the meaning that the test fails right away and the output is

{{1.8569, 0, 0}}

It has no relation to the random ingredients, because I tried the same idea with fixed functions and the outcome is the same. The test does not read from the array the way I want it?

Thanks, Yoav