Tests for Scale Parameter of Asymmetric Log Laplace Distribution

This article focuses on tests for scale parameter of asymmetric log Laplace distribution when shape parameters are known. The most powerful test is obtained for scale parameter and is compared with the corresponding uniformly most powerful (UMP) test based on distribution of order statistic. A simple ad hoc test based on sample median is also suggested and is compared with the other two tests. AMS 2000 subject classification: 62F03

On the statistical power of Baarda’s outlier test and some alternative

Baarda’s outlier test is one of the best established theories in geodetic practice. The optimal test statistic of the local model test for a single outlier is known as the normalized residual. Also other model disturbances can be detected and identified with this test. It enjoys the property of being a uniformly most powerful invariant (UMPI) test, but is not a uniformly most powerful (UMP) test. In this contribution we will prove that in the class of test statistics following a common central or non-central χ