Abstract
In this article, we first introduce the concept of strong completeness and then show that the mixture of every strongly complete distribution is complete if the mixing distribution is complete. This, in effect, reveals the completeness of several well-known mixtures. For instance, Xekalaki (1983,Ann. Inst. Statist. Math., to appear) showed that the Univariate Generalized Waring Distribution is boundedly complete only relative to one of its three parameters. Now, as a consequence of our result, it follows that this distribution is actually complete relative to any of its parameters.
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