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B11CDFName:
with r, a, and b denoting the shape, lower bound, and upper bound parameters, respectively. The location and scale parameters can be defined in terms of the lower and upper bound parameters:
scale = b - a The case where a = 0 and b = 1 is referred to as the standard Burr type 11 distribution.
<SUBSET/EXCEPT/FOR qualification> where <x> is a number, parameter, or variable; <y> is a variable or a parameter (depending on what <x> is) where the computed Burr type 11 cdf value is stored; <r> is a positive number, parameter, or variable that specifies the shape parameter; <loc> is a number, parameter, or variable that specifies the location parameter; <scale> is a positive number, parameter, or variable that specifies the scale parameter; and where the <SUBSET/EXCEPT/FOR qualification> is optional. If <loc> and <scale> are omitted, they default to 0 and 1, respectively.
LET Y = B11CDF(X,0.5,0,5) PLOT B11CDF(X,2,0,3) FOR X = 0.01 0.01 2.99
Johnson, Kotz, and Balakrishnan (1994), "Contiunuous Univariate Distributions--Volume 1", Second Edition, Wiley, pp. 53-54. Devroye (1986), "Non-Uniform Random Variate Generation", Springer-Verlang, pp. 476-477.
LABEL CASE ASIS TITLE CASE ASIS TITLE OFFSET 2 . MULTIPLOT 2 2 MULTIPLOT CORNER COORDINATES 0 0 100 95 MULTIPLOT SCALE FACTOR 2 . LET R = 0.5 TITLE R = ^r PLOT B11CDF(X,R) FOR X = 0.01 0.01 0.99 . LET R = 1 TITLE R = ^r PLOT B11CDF(X,R) FOR X = 0.01 0.01 0.99 . LET R = 2 TITLE R = ^r PLOT B11CDF(X,R) FOR X = 0.01 0.01 0.99 . LET R = 5 TITLE R = ^r PLOT B11CDF(X,R) FOR X = 0.01 0.01 0.99 . END OF MULTIPLOT . JUSTIFICATION CENTER MOVE 50 97 TEXT Burr Type 11 Cumulative Distribution Functions
Date created: 11/27/2007 |