Ratio and Inverse Moments of k-th Record Values from Marshall-Olkin Log-Logistic Distribution

摘要

In this paper, the ratio and inverse moments of k—th record values are obtained for Marshall-Olkin log-logistic distribution. Further, using a recurrence relation for inverse moments and conditional expectation of record values we obtain characterization of this distribution. In addition, we use the established inverse moments to compute the mean and variance of record values.