Ratios Involving Extreme Values
Dixon, W. J.
Ann. Math. Statist., Tome 22 (1951) no. 4, p. 68-78 / Harvested from Project Euclid
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Ratios of the form $(x_n - x_{n-j})/(x_n - x_i)$ for small values of $i$ and $j$ and $n = 3, \cdots, 30$ are discussed. The variables concerned are order statistics, i.e., sample values such that $x_1 < x_2 < \cdots < x_n$. Analytic results are obtained for the distributions of these ratios for several small values of $n$ and percentage values are tabled for these distributions for samples of size $n \leqq 30$.
Publié le : 1951-03-14
Classification:  
@article{1177729693,
     author = {Dixon, W. J.},
     title = {Ratios Involving Extreme Values},
     journal = {Ann. Math. Statist.},
     volume = {22},
     number = {4},
     year = {1951},
     pages = { 68-78},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177729693}
}

Dixon, W. J. Ratios Involving Extreme Values. Ann. Math. Statist., Tome 22 (1951) no. 4, pp.  68-78. http://gdmltest.u-ga.fr/item/1177729693/