本文提出从HNBUE分布类中检验指数分布的方法，证明检验统计量的渐近正态性和检验的相合性。

This paper proposes a test statistics for testing exponential distribution versus HNBUE, and proves the statistics approximate normal distribution and consistence.

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证明估计的强相合性和渐近正态性，给出似然比检验统计量的极限分布，并讨论基于精确分布的检验问题。

The limit distributions of estimators and likelihood ratio test are given, the strong consistency of estimators is also proved.

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