User talk:Jheald/scratch/Meixner

Extracted from Hyperbolic secant distribution

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Def & key properties of Natural exponential family -- including Infinite divisibility (probability). Understand Morris pdf

Unclear
Generalisations to the hyperbolic secant distribution were proposed by Carl Morris in ... []      Morris was interested in families of distributions of the form
 * Origin of "Meixner" distribution name
 * Coined in ... (because of relevance of Meixner polynomials?).  Pre-existence of Morris paper noted by ...
 * Did Meixner 1930s paper describe/investigate the family ?

(natural exponential families), a form which induces have various valuable/attractive/convenient properties/features. In accordance with this form and these properties, Morris proposed a skewness parameter and a shape parameter, intermediating self-convolution.

extends the distribution in two ways: by introducing a an asymmetry parameter, and a shape parameter d which inter The same distribution was studied by ..., who named it the Meixner distribution[][] after various relevant relations found in a 19.. paper by Meixner.[]

Restucture
Go with NES-GHS first ?