Abstract We present necessary and sufficient conditions for the finiteness of moments a fixed order generalized statistics based on an arbitrary life baseline distribution with finite expectation. The depend relation between moment minimal parameter statistic its multiplicity. Furthermore, under these we determine sharp upper bounds expressed in scale units being respective powers mean distribu...

In this paper explicit expressions and some recurrence relations are derived for marginal and joint moment generating functions of generalized order statistics from Erlang-truncated exponential distribution. The results for k-th record values and order statistics are deduced from the relations derived. Further, a characterizing result of this distribution on using the conditional expectation of...