Sample spacings play important roles in reliability theory, life testing, data analysis, goodness-of-fit tests, and other related areas. Generalized order statistics unify the study of order statistics, record values, k-records, Pfeifer’s records and several other cases of ordered random variables, so it is natural and interesting to obtain stochastic properties of spacings of generalized order statistics by analogy with ordinary order statistics. In this paper we prove when X(1;n; emn;k) is increasing mean residual life (IMRL), the spacings of generalized order statistics ordered by variance, and that the covariance between successive spacings is nonnegative. Also, we compare variance of successive generalized order statistics. Furthermore, the mean residual life order between the normalized spacings of generalized order statistics from two sample sequences are built as well.

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