Uniform spacings - a Bird's-Eye View

For a distribution, spacing is defined as the gap between order statistics. In characterization of any distribution, spacings play a pivotal role. Spacing originating from uniform distribution is called uniform spacing. Identical distribution of the first and any k-th spacings for some k = 2, ..., n of a sample of size n guarantees a uniform distribution structure of parent population, subject to some underlying conditions. The uniqueness and tractability of uniform spacings propelled them as the focal point of many statistical investigations. However, for the regular statistics practitioners, the theory of spacings remain outside frontiers. In an effort to fill the lacuna, this article presents a succinct and lucid review of related results and applications of uniform spacings.