Geodesic
On the $\omega^2$ statistic distribution in the multidimensional case
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 2, pp. 415-420 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper gives a method for computing eigenvalues of the integral operator with the kernel $$ K(s,t)=\prod_{i=1}^m\min(s_i,t_i)-\prod_{i=1}^ms_it_i $$ which is used to find the $\omega^2$-distribution in the multidimensional case. Tables for the cumulative distribution function and percentage points are given for $m=3$. 
@article{TVP_1977_22_2_a20,
     author = {E. N. Krivyakova and G. V. Martynov and Yu. N. Tyurin},
     title = {On the $\omega^2$ statistic distribution in the multidimensional case},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {415--420},
     year = {1977},
     volume = {22},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a20/}
}
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E. N. Krivyakova; G. V. Martynov; Yu. N. Tyurin. On the $\omega^2$ statistic distribution in the multidimensional case. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 2, pp. 415-420. http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a20/