
DPUPPFName:
where
and with m and n denoting the shape parameters, denoting the location parameter, and (  ) denoting the scale parameter. This distribution is uniform between and . It has Paretian tails for both the lower and upper tails. The m parameter controls the shape of the lower tail and the n parameter controls the shape of the upper tail. The case where = 0 and = 1 is referred to as the standard doubly Pareto uniform distribution.
<SUBSET/EXCEPT/FOR qualification> where <p> is a number, parameter, or variable in the interval (0,1); <y> is a variable or a parameter (depending on what <p> is) where the computed double Pareto uniform ppf value is stored; <m> is a number, parameter, or variable that specifies the first shape parameter; <n> is a number, parameter, or variable that specifies the second shape paremeter; <alpha> is a number, parameter, or variable that specifies the location parameter; <beta> is a number, parameter, or variable (<beta>  <alpha> is the scale parameter); and where the <SUBSET/EXCEPT/FOR qualification> is optional. If <alpha> and <beta> are omitted, they default to 0 and 1, respectively.
LET Y = DPUPPF(P,1.4,3.2,0,1) PLOT DPUPPF(P,1.4,3.2,5,5) FOR X = 0.01 0.01 0.99
Van Dorp, Singh, and Mazzuchi "The DoublyPareto Uniform Distribution with Applications in Uncertainty Analysis and Econometrics", Mediterranean Journal of Mathematics, Vol. 3 (2), pp. 205225.
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 LET BETA = 1 . LET M = 0.5 LET N = 0.5 TITLE M = ^m, N = ^n PLOT DPUPPF(P,M,N,ALPHA,BETA) FOR P = 0.01 0.01 0.99 . LET M = 2 LET N = 0.5 TITLE M = ^m, N = ^n PLOT DPUPPF(P,M,N,ALPHA,BETA) FOR P = 0.01 0.01 0.99 . LET M = 0.5 LET N = 2 TITLE M = ^m, N = ^n PLOT DPUPPF(P,M,N,ALPHA,BETA) FOR P = 0.01 0.01 0.99 . LET M = 2 LET N = 2 TITLE M = ^m, N = ^n PLOT DPUPPF(P,M,N,ALPHA,BETA) FOR P = 0.01 0.01 0.99 . END OF MULTIPLOT . CASE ASIS JUSTIFICATION CENTER MOVE 50 97 TEXT Doubly Pareto Uniform Percent Point Functions
Date created: 1/8/2008 