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Stochastic properties of spacings based on order statistics

Motivated in part by applications in reliability theory, life testing, and other areas, like finance or engineering, several authors have investigated the stochastic properties of order statistics and their spacings in the case when the observations are independent and identically distributed (i.i.d.). However, in some real situations, observations are non-i.i.d. Due to the complicated expression of the distribution in the non-i.i.d. case, only limited results are found in the literature. In this article, we present stochastic properties involving spacings between order statistics from underlying heterogeneous distributions.