Geodesic
Some limit behavior for linear combinations of order statistics
Kybernetika, Tome 57 (2021) no. 6, pp. 970-988.

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In the present paper, we establish the moderate and large deviations for the linear combinations of uniform order statistics. As applications, the moderate and large deviations for the $k$-th order statistics from uniform distribution, Gini mean difference statistics and the $k$-th order statistics from general continuous distribution are obtained.
DOI : 10.14736/kyb-2021-6-0970
Classification : 62G30
Keywords: linear combinations of order statistics; large deviation; moderate deviation; Gini mean difference statistics 
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Miao, Yu; Ma, Mengyao. Some limit behavior for linear combinations of order statistics. Kybernetika, Tome 57 (2021) no. 6, pp. 970-988. doi : 10.14736/kyb-2021-6-0970. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-6-0970/

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