The Two-Piece Normal, Binormal, or Double Gaussian Distribution: Its Origin and Rediscoveries
By K. Wallis. 2014
86 citations recorded by the source corpus.
This paper traces the history of the two-piece normal distribution from its origin in the posthumous Kollektivmasslehre (1897) of Gustav Theodor Fechner to its rediscoveries and generalisations. The denial of Fechner's originality by Karl Pearson, reiterated a century later by Oscar Sheynin, is shown to be without foundation.
Subfields: Applied Mathematics, Statistical and Nonlinear Physics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/524f894f942c78a65af499fa8f4f83bd4827e63f
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In Applied Mathematics
In Statistical and Nonlinear Physics
In Statistics and Probability
Citations in the corpus
- Inference in two-piece location-scale models with Jeffreys priors (2014, result): “In line with most of the recent literature (Jones, 2006; Jones and Anaya-Izquierdo, 2011; Wallis, 2013), we shall denote the model in (2) as the two-piece model.”
- On Families of Distributions with Shape Parameters (2015, unknown): “When g = φ , two-piece distributions date back to Fechner (1897); see Wallis (2014).”
- Variance and Skewness in Density Predictions: A World GDP Growth Forecast Assessment (2017, unknown): “The TPN assumption (Wallis 2014) is flexible enough to allow skewed distributional shapes of the predicted random variable.”