Characterizations of Logistic Distribution through Order Statistics with   Independent Exponential Shifts
  The paper presents some distributional properties of logistic order statistics subject to independent exponential one-sided and two-sided shifts. Utilizing these properties, we extend several known results and obtain some new characterizations of the logistic distribution. 
M. Ahsanullah, George P. Yanev and Constantin Onica
math.PR math.ST stat.TH