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Estimation functions and uniformly most powerful tests for inverse Gaussian distribution. (English) Zbl 1127.62314

Summary: The aim of this article is to develop estimation functions by confidence regions for the inverse Gaussian distribution with two parameters and to construct tests for hypotheses testing concerning the parameter \(\lambda \) when the mean parameter \(\mu \) is known. The tests constructed are uniformly most powerful tests and for testing the point null hypothesis it is also unbiased.

MSC:

62F03 Parametric hypothesis testing
62F25 Parametric tolerance and confidence regions
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