In this paper we consider three parameter generalized exponential distribution. Exact expressions and some recurrence relations for single and product moments of lower generalized order statistics are derived. Further the results are deduced for moments of order statistics and lower records and characterization of this distribution has been considered on using the conditional moment of the lower generalized order statistics.
Khan, Anamika Kulshrestha and Devendra Kumar, R.U.
"LOWER GENERALIZED ORDER STATISTICS OF GENERALIZED EXPONENTIAL DISTRIBUTION,"
Journal of Statistics Applications & Probability: Vol. 1
, Article 3.
Available at: https://dc.naturalspublishing.com/jsap/vol1/iss2/3