Geodesic
Estimation functions and uniformly most powerful tests for inverse Gaussian distribution
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 1, pp. 153-164

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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.
Classification : 62F03, 62F25
Keywords: inverse Gaussian distribution; estimation functions; uniformly most powerful test; unbiased test 
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     title = {Estimation functions and uniformly most powerful tests for inverse {Gaussian} distribution},
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Vladimirescu, Ion; Tunaru, Radu. Estimation functions and uniformly most powerful tests for inverse Gaussian distribution. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 1, pp. 153-164. http://geodesic.mathdoc.fr/item/CMUC_2003__44_1_a11/