We consider a series of independent observations from a -norm distribution with the position parameter and the scale parameter . We test the simple hypothesis versus . Firstly, we give the stop rule and decision rule of sequential probabilistic ratio test (SPRT). Secondly, we prove the existence of which needs to satisfy the specific situation in SPRT method, and the approximate formula of the mean sample function is derived. Finally, a simulation example is given. The simulation shows that the ratio of sample size required by SPRT and the classic Neyman–Pearson test is about at most, at least.

中文翻译：

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-范数分布尺度参数的序贯概率比检验

我们认为，从一系列独立的意见-与位置参数范分布和尺度参数。我们检验简单假设 相对 . 首先给出序列概率比检验（SPRT）的停止规则和决策规则。其次，证明了SPRT方法中需要满足特定情况的存在，推导出均值样本函数的近似公式。最后给出了一个仿真实例。模拟表明，SPRT 和经典的 Neyman-Pearson检验所需的样本量比至少约为最多。