Statistical Properties of Inverse Gaussian Distributions. I
نویسندگان
چکیده
منابع مشابه
A Reliability Application of a Mixture of Inverse Gaussian Distributions
Running Title: Mixture of Inverse GaU88ian Distributions 2 SUMMARY A mixture of Inverse GaU88ian distributions is examined as a model for the lifetime of components. The components differ in one of three ways: in their initial quality, rate of wear, or variability of wear. These three cases are well represented by the parameters of the Inverse GaU88ian model. The mechanistic interpretation of t...
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Goodness–of–fit tests for the family of symmetric normal variance inverse Gaussian distributions are constructed. The tests are based on a weighted integral incorporating the empirical characteristic function of suitably standardized data. An EM– type algorithm is employed for the estimation of the parameters involved in the test statistic. Monte Carlo results show that the new procedure is com...
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The empirical Bayes estimators of treatment effects in a factorial experiment were derived and their asymptotic properties were explored. It was shown that they were asymptotically optimal and the estimator of the scale parameter had a limiting gamma distribution while the estimators of the factor effects had a limiting multivariate normal distribution. A Bootstrap analysis was performed to ill...
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PURPOSE Several studies have shown that the power spectrum of x-ray breast images is well described by a power-law at lower frequencies where anatomical variability dominates. However, an image generated from a Gaussian process with this spectrum is easily distinguished from an image of actual breast tissue by eye. This demonstrates that higher order non-Gaussian statistical properties of mammo...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1957
ISSN: 0003-4851
DOI: 10.1214/aoms/1177706964