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Sum of uniforms
  Draws a Monte Carlo simulated curve for a sum of several given uniform variables.
2024.May.10 18:19:02
xLower Lower limits for the variables. •
xUpper Upper limits for the variables. •
p1, p2 % Two quantiles. •
ntr, .repeat, klass 10^; No. of trials, repeatability, no. of histogram classes. •
Show values ? Shows the values of the graph coordinates.

Draws a Monte Carlo simulated curve of  fZ  ('pdf', density) and FZ  ('cdf') for the variable Z = ΣiXi, a sum of several given, Xi, uniform random variables.

Other suggested values: 2.nd variable in (48, 52); 3 variables, e.g., all in (49, 51).

References: Plate: Sumunifs

• math-tools.pdf (1.1 Mb, as image), pp 311–3 (see 15.th p), revised.pdf ("Particle Data Group" document, pp 297–320).

• Wikipedia: Irwin-Hall distribution.

• Sum of uniformly distributed random numbers (Fourmilab).

 
 
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Created: 2004-04-17 — Last modified: 2017-04-20