Summary
This paper reviews the development of the inverse Gaussian distribution and of statistical methods based upon it from the paper of Schrödinger (1915) to the present (1978). After summarizing the properties of the distribution, the paper presents tests of hypotheses, estimation, confidence intervals, regression and “analysis of variance” based upon the inverse Gaussian. its potential role in reliability work is discussed and work on Bayesian statistics is reviewed briefly. An extensive set of references to the distribution is given.
It was shown by Littell and Folks [3J that Fisher's method of combining independent tests is asymptotically optimal among four commonly used methods of combining, according to Bahadur relative efficiency. The result of the present article is that Fisher's method is asymptotically optimal among essentially all methods of combining independent tests.
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