The Most Stringent Somewhere Most Powerful One Sided Test Of The Asymptotic Normal Mean The Application Of The Ranked Set Sample

In recent years, the quality of Ranked Set Sample (RSS) has been known by moreand more scientists. It is noted that with the same size RSS always has moreinformation than the Simple Random Sample (SRS). So it is natural to think that wecan use RSS instead of SRS to estimate and test. But the distribution of RSS is not assimple as that of SRS, so the area of applying RSS is not as large as that of applyingSRS. Here according to the quality of the asymptotical normal distribution of RSS, weoffer a method to apply RSS.Here the special problem we consider is that of testing a normal mean vector againstthe alternative determined by a convex cone.