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The model identification of order statistic. (Chinese. English summary) Zbl 0799.62055
Summary: If $$x_ 1, \dots, x_ n$$ are independent random variables, under certain distribution conditions, the distribution of the $$k$$ th order statistic $$(1 \leq k \leq n)$$ determines the distribution of $$x_ i$$. This is investigated in this paper for some kinds of distributions of $$x_ i$$.
##### MSC:
 62G30 Order statistics; empirical distribution functions 62E15 Exact distribution theory in statistics
##### Keywords:
independent random variables; order statistics