On a characterization of the exponential distribution by order statistics
1976 ◽
Vol 13
(04)
◽
pp. 818-822
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Keyword(s):
Let X 1 , X2, …, Xn be a random sample of size n from a population with probability density function f(x), x >0, and let X 1,n < X 2,n < … < Xn,n be the associated order statistics. A characterization of the exponential distribution is shown by considering the identical distribution of the random variables nX 1,n and (n − i + 1)(X 1,n −; X i–1,n ) for one i and one n with 2 ≦ i ≦ n.
1978 ◽
Vol 15
(03)
◽
pp. 650-653
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2003 ◽
2018 ◽
Vol 21
(2)
◽
pp. 633-645
Keyword(s):
2012 ◽
Vol 226-228
◽
pp. 1106-1110
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