Normal distribution | Continuous distributions

Split normal distribution

In probability theory and statistics, the split normal distribution also known as the two-piece normal distribution results from joining at the mode the corresponding halves of two normal distributions with the same mode but different variances. It is claimed by Johnson et al. that this distribution was introduced by Gibbons and Mylroie and by John. But these are two of several independent rediscoveries of the Zweiseitige Gauss'sche Gesetz introduced in the posthumously published Kollektivmasslehre (1897) of Gustav Theodor Fechner (1801-1887), see Wallis (2014). Surprisingly, another rediscovery has appeared more recently in a finance journal. (Wikipedia).

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From playlist The Normal Distribution

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From playlist Statistics

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From playlist Statistics

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From playlist Unit 2: Normal Distributions

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Related pages

Scale parameter | Integral | Normal distribution | Mode (statistics) | Variance | Fan chart (time series) | Normalizing constant | Bayes estimator | Probability theory | Standard deviation | Real number | Statistics | Probability density function | Continuous function | Location parameter | Principal component analysis