Geodesic
On the strong law of large numbers for the middle part of a sample
Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 8, Tome 166 (1988), pp. 25-31

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Let $\{X_n\}^\infty_{n=1}$ be a sequence of independent symmetric r.v., $\{X_{in}\}^\infty_{n=1}$ be the absolute order statistics. The behaviour of $\sum^{n-r}_{i=1}X_{i,n}$ is studed. 
@article{ZNSL_1988_166_a3,
     author = {V. A. Egorov},
     title = {On the strong law of large numbers for the middle part of a sample},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {25--31},
     publisher = {mathdoc},
     volume = {166},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_166_a3/}
}
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V. A. Egorov. On the strong law of large numbers for the middle part of a sample. Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 8, Tome 166 (1988), pp. 25-31. http://geodesic.mathdoc.fr/item/ZNSL_1988_166_a3/