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Asymptotically Optimal Statistics in Some Models with Increasing Failure Rate Averages

Asymptotically Optimal Statistics in Some Models with Increasing Failure Rate Averages

Birnbaum, Esary and Marshall (1966) have shown that the class $\mathscr{F}$ of distributions with increasing failure rate averages $(IFRA)$ characterizes the concept of wear-out in the sense that $\mathscr{F}$ is the smallest class that contains the exponential distributions and is closed under the formation of coherent systems. In this note, …