R-Symmetry and the Power Functions of the Tests for Inverse Gaussian Means

DOI10.1080/03610920802499496zbMath1172.62015OpenAlexW2080558046MaRDI QIDQ3396327

Govind S. Mudholkar, Hongyue Wang

Publication date: 18 September 2009

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920802499496

zbMATH Keywords

unimodal distributionmonotone power functionreciprocal symmetryIG-symmetry

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (1)

Product-convolution of R-symmetric unimodal distributions: an analogue of Wintner's theorem

Cites Work

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• The inverse Gaussian distribution. Statistical theory and applications
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• IG-symmetry and R-symmetry: Interrelations and applications to the inverse Gaussian theory
• A generalized monotone character of d.f.'s and moments of statistics from some well-known populations
• On the Power of an Optimum Test for the Mean of the Inverse Gaussian Distribution
• Statistical Properties of Inverse Gaussian Distributions. I
• Optimum Test Procedures for the Mean of First Passage Time Distribution in Brownian Motion with Positive Drift (Inverse Gaussian Distribution)
• OPTIMUM TESTS FOR COMPARISON OF TWO INVERSE GAUSSIAN DISTRIBUTION MEANS¹
• POWER FUNCTION FOR INVERSE GAUSSIAN REGRESSION MODELS
• A Class of Tests with Monotone Power Functions for Two Problems in Multivariate Statistical Analysis
• Monotonicity of the Power Functions of Some Tests of the Multivariate Linear Hypothesis

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