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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
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