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Abstract
Let X
1
X
2⃜,X
n be n independent (but not necessarily identically distributed) random variables with distributions F
1
F
2 ⃜ F
n, where F
k(x) = P(X
k ≤ x). Let X
(1),X
(2) ⃜ X
(n) be the order statistics of the sample X
1,X
2, ⃜ ,X
n In this paper, we consider linear functions of order statistics where J
(x) is a specified weight function, defined on [0,1] A strong law of large number for S
n is established.