The Locally Most Powerful Unbiased Test for the location parameter of von Mises Distribution

• Main Authors: Pei-Sheng Lin, 林培生
• Other Authors: Ho-Jan Chang
• Format: Others
• Language: en_US
• Published: 1994
• Online Access: http://ndltd.ncl.edu.tw/handle/68815347836793196315

碩士 === 國立中興大學 === 應用數學研究所 === 82 === The research of directional data has attracted more and more attention of statisticans in the recent years. We will handle the problem about the two-dimensional data throughout this context and refer such data as the circular data. Having a lot of important characterization as the normal distribution does in the linear statistics, the von Mises distribution has a great importance in the circular data. It makes people to devote a lot of eff- orts in the dealing with the investigation of this distribution. For the problem of testing whether a given sample of von Mises dirtribution has zero direction, when the concentration parameter is fixed, Madia (p.136,(1972)) proved there is no UMP test. And Madia (p.137,(1972)) also proposed the likelihood ratio test. In this paper, we are about to employ the concept of locally most powerful unbiased test to derive a test and excute some comparsions between these two tests.