Geodesic
Some limit behavior for linear combinations of order statistics
Kybernetika, Tome 57 (2021) no. 6, pp. 970-988 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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

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