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Discrete truncated Gaussian
  Computes a "discrete" truncated Gaussian distribution.
2024.Jul.03 19:23:44
X range Domain for random integer variable X. •
Impose... (of original, true Gaussian) Impose parameter μ or (ignored) none.
Probout Probability out (Gaussian tails). •
Show values Shows the graph coordinates.
  Calculates a discrete truncated Gaussian distribution function for a (discrete) random variable, X, as "slices" of an adapted Gaussian, in (xmin, xmax) —indeed (xmin−½, xmax+½). The user can impose the mean, μ, (or not) of the original (true) Gaussian.
  This is to compensate for the lack of available discrete functions (other than the classical binomial, Poisson, etc.).
References: Plate: Discrete

• Search "discrete probability distributions".

• Gelman, Carlin, Stern, 2004, "Bayesian data analysis", 2.nd ed., Chapman & Hall/CRC, home page (Columbia Univ. in the City of New York). (Not useful; just cites the 'beta-binomial'.)

• Gut, Allan, 2005 (2nd. corr. print. 2007), "Probability: a graduate course", Springer, New York, NY (USA) (ISBN: 978-0-387-22833-4), Ch. 15, "Sums of a random number of random variables", p 83. G'b.

• Weisstein, Eric W., "Discrete distributions". From MathWorld—A Wolfram Web Resource.

• 1860-05-03: Volterra, Vito, birthday.

 
 
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Created: 2009-05-03 — Last modified: 2015-12-20