On the edgeworth type expansions for the distribution of extreme-spacings statistics

In this article we study the edgeworth type expansion of a statistics based on uniform spacings. there is a fairly extensive literature devoted to studying the distribution of random variable based on uniform spacings. one of them is the extreme spacings statistics. we aim to approximate the distribution of extreme spacing statistics by two well-known edgeworth type expansions. for the purpose of comparison the simulated values of both the expansions are tabulated and graphed. © 2017 pakistan journal of statistics.