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ALPCHAZName:
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with This distribution can be generalized with location and scale parameters using the relation
![]() ![]() ![]() ![]() ![]() ![]() ![]() This distribution has application in reliability.
<SUBSET/EXCEPT/FOR qualification> where <x> is a number, parameter, or variable containing positive values; <y> is a variable or a parameter (depending on what <x> is) where the computed alpha cumulative hazard value is stored; <alpha> 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 A = ALPCHAZ(X1,2.5,0,10) PLOT ALPCHAZ(X,2.5,0,3) FOR X = 0.1 0.1 10
to
This was done since BETA is in fact a scale parameter.
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.
2007/11: Corrected the second shape parameter to be the scale parameter LABEL CASE ASIS TITLE CASE ASIS TITLE OFFSET 2 . MULTIPLOT 2 2 MULTIPLOT CORNER COORDINATES 0 0 100 95 MULTIPLOT SCALE FACTOR 2 . LET ALPHA = 0.5 TITLE ALPHA = ^alpha PLOT ALPCHAZ(X,ALPHA) FOR X = 0.01 0.01 5 . LET ALPHA = 1 TITLE ALPHA = ^alpha PLOT ALPCHAZ(X,ALPHA) FOR X = 0.01 0.01 5 . LET ALPHA = 2 TITLE ALPHA = ^alpha PLOT ALPCHAZ(X,ALPHA) FOR X = 0.01 0.01 5 . LET ALPHA = 5 TITLE ALPHA = ^alpha PLOT ALPCHAZ(X,ALPHA) FOR X = 0.01 0.01 5 . END OF MULTIPLOT . JUSTIFICATION CENTER MOVE 50 97 TEXT Alpha Cumulative Hazard Functions ![]()
Date created: 11/27/2007 |