چكيده لاتين :
Abstract. In the absolutely continuous case, order statistics, record
values and several other models of ordered random variables can be
viewed as special cases of generalized order statistics, which enables
a unified treatment of their theory. This paper deals with discontinuous
generalized order statistics, continuing on the recent work of
יIran (2006). Specifically, we show that in general neither records nor
weak records are submodels of discrete generalized order statistics.
Next, we show that progressively Type-II right censored order statistics
from an arbitrary distribution can be embedded in the model of
generalized order statistics. and then use this fact to establish some
distributional properties of progressivelyType-II right censored order
statistics. Finally, we present some characterizations of the geometric
distribution based on progressively Type-II right censored order
statistics.
