Gwo Dong Lin, Characterizations of Uniform Distributions and of Exponential Distributions, Sankhyā: The Indian Journal of Statistics, Series A (1961-2002), Vol. 50, No. 1 (Feb., 1988), pp. 64-69 ...

Identical distribution of the first and the k-th spacings for some k = 2,..., n of a sample of size n from a parent distribution satisfying certain conditions is sufficient to guarantee that the ...