Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
In this paper, we obtain certain expressions and recurrence relations for two general classes of distributions based on some conditional expectations of k-th lower record values. We consider the necessary and sufficient conditions such that these conditional expectations hold for some distribution functions. Furthermore, an expression of conditional expectation of other general class of distributions through truncated moments of some random variable is considered. Some distributions as examples of these general classes are shown in Tables 1 and 2 accordingly.
Keywords: Characterization, Conditional expectation, Order statistics, Records values.
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