emblem
"Oblique" distribution
Simulates an "oblique" random variable
2024.Jul.03 18:28:47
a, b ([X]) Limits, a and b, for the variableand. •
Slope ([X]−2) Slope of the straight line. •
lgN, seed, classes N. of trials, RNG seed and n. of histogram classes. •
Show values Shows the coordinates of the graph. •

Simulates an "oblique" random variable, between a and b, the straight line having a given slope, m. The slope must be |m| ≤ 2 ⁄ (ba)² (as probability cannot be negative). The 'pdf' is, thus, y = p + m (xa), with m = (qp) ⁄ (ba) . So, y(a) = p and y(b) = q .

A plot is shown for the simulated f, and for F, the simulated 'cdf'.

Other suggested data: vary slope.

References: Plate: ObliqueVariable

• Wikipedia: Ellipse

Chadrupatla, T. R., and T. J. Osler, 2010, The perimeter of an ellipse.pdf, Math. Scientist, 35:122–131 (=),

Unicode characters (Symbol, Math) • HTML Color Names

• 1919-04-09: Eckert, John Presper (1995-06-03).

 
 
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Created: 2017-04-09 — Last modified: 2017-04-09