The Inverse Gaussian Models: Analogues of Symmetry, Skewness and Kurtosis

By Govind S. Mudholkar, Rajeshwari Natarajan. 2002

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The Generalized Birnbaum–Saunders Distribution and Its Theory, Methodology, and Application (2008, methodology): “Firstly, we use the – 3 chart for considering or discarding kernels for the GBS distribution similarly as was applied by Mudholkar and Natarajan (2002). This is considered as an initial method of goodness-of-fit.”
Mixture inverse Gaussian distributions and its transformations, moments and applications (2009, methodology): “Goodness-of-fit As done by Mudholkar and Natarajan [9], the charts presented in Figure 3 are useful for considering or discarding distributions, and they can be used as an initial method of goodness-of-fit.”
The McDonald Weibull model (2014, background): “One major benefit of the Mc-G distribution is its ability of fitting skewed data such as other well-known distributions in the literature [8,9].”
An R Package for a General Class of Inverse Gaussian Distributions (2008, background): “The IGD is a probability model also known as the first passage time distribution of Brownian motion with positive drift, which was developed by Schrödinger (1915). Later, in 1941, Tweedie proposed the name inverse Gaussian for this distribution since its cumulant generating function has an inverse r”