A strong law of large numbers for linear combinations of order statistics is proved under integrability conditions only. Together with some straightforward extensions, the theorem generalizes previous results of Wellner, Helmers and Sen.
"A Strong Law for Linear Functions of Order Statistics." Ann. Probab. 8 (5) 986 - 990, October, 1980. https://doi.org/10.1214/aop/1176994626