This monograph is a compilation of research on the inverse Gaussian distribution. It emphasizes the presentation of the statistical properties, methods, and applications of the two-parameter inverse Gaussian family of distribution. It is useful to statisticians and users of statistical distribution.
1. Introduction 2. Properties of the Inverse Gaussian Distribution 3. Genesis 4. Certain Useful Transformations and Characterizations 5. Sampling and Estimation of Parameters 6. Significance Tests 7. Bayesian Inference 8. Regression Analysis 9. Life Testing and Reliability 10. Applications 11. Additional Topics