On a Characterization of Uniform Distrib
β
S. Dasgupta; A. Goswami; B.V. Rao
π
Article
π
1993
π
Elsevier Science
π
English
β 392 KB
Denoting by \(X_{(1,} \leqslant X_{t 2} \leqslant \cdots \leqslant X_{(n)}\) the order statistic based on a random sample \(X_{1}, X_{2}, \ldots, X_{n}\) drawn from a distribution \(F\), it is shown that the property " \(E\left(X_{1} \mid X_{(1)}, X_{(n)}\right)=\frac{1}{2}\left(X_{(1)}+X_{(n)}\righ