A characterization of the exponential distribution by spacings
1978 ◽
Vol 15
(03)
◽
pp. 650-653
◽
Keyword(s):
Let X 1, X 2, ···, 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 identical distribution of the random variables (n − i + 1)(Xi, n − X i−1, n ) and (n − i)(X i+1, n − X i, n ) for one i and one n with 2 ≦ i ˂ n.
1976 ◽
Vol 13
(04)
◽
pp. 818-822
◽
2003 ◽
2018 ◽
Vol 21
(2)
◽
pp. 633-645
Keyword(s):
2012 ◽
Vol 226-228
◽
pp. 1106-1110
◽