Geodesic
Discrimination of close hypotheses about the distribution tails using higher order statistics
Teoriâ veroâtnostej i ee primeneniâ, Tome 63 (2018) no. 3, pp. 447-467

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We consider the problem of discrimination of close hypotheses about the distribution tails lying in the Gumbel maximum domain of attraction. Only higher order statistics of the sample are used for constructing the test. The proposed results extend classical results of the contiguity theory.
Keywords: close hypotheses, order statistics, Gumbel maximum domain of attraction, discrimination test. 
@article{TVP_2018_63_3_a2,
     author = {I. V. Rodionov},
     title = {Discrimination of close hypotheses about the distribution tails using higher order statistics},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {447--467},
     publisher = {mathdoc},
     volume = {63},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2018_63_3_a2/}
}
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I. V. Rodionov. Discrimination of close hypotheses about the distribution tails using higher order statistics. Teoriâ veroâtnostej i ee primeneniâ, Tome 63 (2018) no. 3, pp. 447-467. http://geodesic.mathdoc.fr/item/TVP_2018_63_3_a2/