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UTSPPFName:
where
 > 0c1 = *(b - a)*n3c2 = (d - b)*n1 c3 = c1 + c2 cutoff = UTSCDF(b,a,b,d,n1,n3,alpha)
The unveven two-sided power distribution is a generalization of the
two-sided power distribution. It is also
related to the (the center part of the generalized trapezoid
distribution shrinks to a single point). See Van Dorp and Kotz for
details.
The special case where
<SUBSET/EXCEPT/FOR qualification> where <p> is a variable, number, or parameter containing values in the interval (0,1); <a> is a number, parameter, or variable that specifies the first shape parameter; <b> is a number, parameter, or variable that specifies the second shape parameter; <d> is a number, parameter, or variable that specifies the third shape parameter; <n1> is a number, parameter, or variable that specifies the fourth shape parameter; <n3> is a number, parameter, or variable that specifies the fifth shape parameter; <alpha> is a number, parameter, or variable that specifies the sixth shape parameter; <y> is a variable or a parameter (depending on what <p> is) where the computed ppf value is stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional.
LET Y = UTSPPF(P,0,0.8,1,2,2,0.5) LET Y = UTSPPF(P,A,B,D,N1,N3,ALPHA)
LABEL CASE ASIS
TITLE CASE ASIS
TITLE OFFSET 2
.
MULTIPLOT CORNER COORDINATES 0 0 100 95
MULTIPLOT SCALE FACTOR 2
.
MULTIPLOT 2 2
LET A = 0
LET B = 0.4
LET D = 1.0
LET N1 = 2
LET N3 = 0.5
.
LET ALPHA = 0.5
TITLE N1 = ^n1, N3 = ^n3, Alpha = ^alpha
PLOT UTSPPF(P,A,B,D,N1,N3,ALPHA) FOR P = 0.01 0.01 0.99
.
LET ALPHA = 1.0
TITLE N1 = ^n1, N3 = ^n3, Alpha = ^alpha
PLOT UTSPPF(P,A,B,D,N1,N3,ALPHA) FOR P = 0.01 0.01 0.99
.
LET ALPHA = 2.0
TITLE N1 = ^n1, N3 = ^n3, Alpha = ^alpha
PLOT UTSPPF(P,A,B,D,N1,N3,ALPHA) FOR P = 0.01 0.01 0.99
.
LET ALPHA = 5.0
TITLE N1 = ^n1, N3 = ^n3, Alpha = ^alpha
PLOT UTSPPF(P,A,B,D,N1,N3,ALPHA) FOR P = 0.01 0.01 0.99
.
END OF MULTIPLOT
.
JUSTIFICATION CENTER
MOVE 50 97
TEXT Uneven Two-Sided Power Percent Point Functions
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MULTIPLOT 2 2
LET N1 = 0.5
LET N3 = 2
.
LET ALPHA = 0.5
TITLE N1 = ^n1, N3 = ^n3, Alpha = ^alpha
PLOT UTSPPF(P,A,B,D,N1,N3,ALPHA) FOR P = 0.01 0.01 0.99
.
LET ALPHA = 1.0
TITLE N1 = ^n1, N3 = ^n3, Alpha = ^alpha
PLOT UTSPPF(P,A,B,D,N1,N3,ALPHA) FOR P = 0.01 0.01 0.99
.
LET ALPHA = 2.0
TITLE N1 = ^n1, N3 = ^n3, Alpha = ^alpha
PLOT UTSPPF(P,A,B,D,N1,N3,ALPHA) FOR P = 0.01 0.01 0.99
.
LET ALPHA = 5.0
TITLE N1 = ^n1, N3 = ^n3, Alpha = ^alpha
PLOT UTSPPF(P,A,B,D,N1,N3,ALPHA) FOR P = 0.01 0.01 0.99
.
END OF MULTIPLOT
.
JUSTIFICATION CENTER
MOVE 50 97
TEXT Uneven Two-Sided Power Percent Point Functions
.
MULTIPLOT 2 2
LET N1 = 2
LET N3 = 2
.
LET ALPHA = 0.5
TITLE N1 = ^n1, N3 = ^n3, Alpha = ^alpha
PLOT UTSPPF(P,A,B,D,N1,N3,ALPHA) FOR P = 0.01 0.01 0.99
.
LET ALPHA = 1.0
TITLE N1 = ^n1, N3 = ^n3, Alpha = ^alpha
PLOT UTSPPF(P,A,B,D,N1,N3,ALPHA) FOR P = 0.01 0.01 0.99
.
LET ALPHA = 2.0
TITLE N1 = ^n1, N3 = ^n3, Alpha = ^alpha
PLOT UTSPPF(P,A,B,D,N1,N3,ALPHA) FOR P = 0.01 0.01 0.99
.
LET ALPHA = 5.0
TITLE N1 = ^n1, N3 = ^n3, Alpha = ^alpha
PLOT UTSPPF(P,A,B,D,N1,N3,ALPHA) FOR P = 0.01 0.01 0.99
.
END OF MULTIPLOT
.
JUSTIFICATION CENTER
MOVE 50 97
TEXT Uneven Two-Sided Power Percent Point Functions
Date created: 12/17/2007 |
