P. V. Zrelov, V. V. Ivanov, “The distribution functions of the $\omega_n^3=n^{3/2}\int_{-\infty}^\infty[S_n(x)-P(x)]^3\,dP(x)$ statistic for small <nobr>$n$</nobr>”, Matem. Mod., 1992, Volume 4, Number 8,Pages <nobr>85

Computational methods and algorithms

The distribution functions of the $\omega_n^3=n^{3/2}\int_{-\infty}^\infty[S_n(x)-P(x)]^3\,dP(x)$ statistic for small $n$

P. V. Zrelov, V. V. Ivanov

Joint Institute for Nuclear Research

Abstract: A numerical method of the distribution function calculation of a new nonparametric $\omega_n^3$ statistic for small sample sizes is considered. It allowed to calculate with a high accuracy the percentage points for $n=1,2,\dots,10$.

Received: 30.04.1992