
MUTPPFName:
with denoting the shape parameter. The percent point function is computed by numerically inverting the cumulative distribution function using a bisection method. This distribution can be generalized with location and scale parameters in the usual way using the relation
with <loc> and <scale> denoting the location and scale parameters, respectively.
<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 Muth ppf value is stored; <beta> is a 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 = MUTPPF(P,0.5,0,5) PLOT MUTPPF(P,0.7,0,3) FOR P = 0.01 0.01 0.99
Muth (1977), "Reliability Models with Positive Memory Derived from the Mean Residual Life Function", in The Theory and Applications of Reliability, Eds. Tsokos and Shimi, New York: Academic Press Inc., pp. 401435.
LABEL CASE ASIS TITLE CASE ASIS TITLE OFFSET 2 . MULTIPLOT 2 2 MULTIPLOT CORNER COORDINATES 0 0 100 95 MULTIPLOT SCALE FACTOR 2 . LET BETA = 0.2 TITLE BETA = ^BETA PLOT MUTPPF(P,BETA) FOR P = 0.01 0.01 0.99 . LET BETA = 0.5 TITLE BETA = ^BETA PLOT MUTPPF(P,BETA) FOR P = 0.01 0.01 0.99 . LET BETA = 0.7 TITLE BETA = ^BETA PLOT MUTPPF(P,BETA) FOR P = 0.01 0.01 0.99 . LET BETA = 1 TITLE BETA = ^BETA PLOT MUTPPF(P,BETA) FOR P = 0.01 0.01 0.99 . END OF MULTIPLOT . JUSTIFICATION CENTER MOVE 50 97 TEXT Muth Percent Point Functions
Date created: 2/14/2008 