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Approximating the distribution of Greenwood's statistic

Approximating the distribution of Greenwood's statistic

Statistics based on uniform spacings are often used in goodness‐of‐fit problems. In this paper special attention is paid to the distribution of Greenwood's statistic. Although its asymptotic distribution is normal, the normal approximation is extremely bad, even for large sample sizes. It is shown that the Edge‐worth expansion yields a …