EWEHAZ

EWEHAZ (LET)

Library Function

Compute the standard form of the exponentiated Weibull hazard function with shape parameters and .

The standard form of the exponentiated Weibull hazard function is:

where and are shape parameters.

LET <y> = EWEHAZ(<x>,<gamma>,<theta>)             <SUBSET/EXCEPT/FOR qualification>
where <x> is a variable, number, or parameter;
              <y> is a variable or a parameter (depending on what <x> is) where the computed exponentiated Weibull hazard value is stored;
              <gamma> is a positive number, parameter, or variable that specifies the first shape parameter;
              <theta> is a positive number, parameter, or variable that specifies the second shape parameter;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

LET A = EWEHAZ(3,2,3)
LET A = EWEHAZ(A1,4,0.5)
LET X2 = EWEHAZ(X1,2,1.5)
LET X2 = EWEHAZ(X1,GAMMA,THETA)

The general form of the exponentiated Weibull hazard function includes the location parameter and the scale parameter . The general form of the hazard function can be computed from the standard form of the hazard function:

None

None

EWECDF	= Compute the exponentiated Weibull cumulative distribution function.
EWECHAZ	= Compute the exponentiated Weibull cumulative hazard function.
EWECPF	= Compute the exponentiated Weibull probability density function.
EWEPPF	= Compute the exponentiated Weibull percent point function.
WEIPDF	= Compute the Weibull probability density function.
EXPPDF	= Compute the exponential probability density function.
GAMPDF	= Compute the gamma probability density function.
GGDPDF	= Compute the generalized gamma probability density function.
IGAPDF	= Compute the inverted gamma probability density function.
CHSPDF	= Compute the chi-square probability density function.
NORPDF	= Compute the normal probability density function.

"The Exponentiated Weibull Family: A Reanalysis of the Bus-Motor-Failure Data", Mudholkar, Srivastava, and Friemer, Technometrics, November, 1995 (pp. 436-445).

Reliability Analysis

1998/5

LET G = DATA 1 1 1 0.5 0.5 0.5 2 2 2 
LET C = DATA 0.5 1 2 0.5 1 2 0.5 1 2 
LET START = DATA 0.01 0 0 0.01 0.01 0 0 0 0 
LET INC = DATA 0.001 0.01 0.01 0.001 0.01 0.01 0.01 0.01 0.01 
LET STOP = DATA 0.5 5 5 1 5 5 5 5 5 
. 
MULTIPLOT 3 3 
MULTIPLOT CORNER COORDINATES 0 0 100 100 
TITLE AUTOMATIC 
LOOP FOR K = 1 1 9 
   LET G1 = G(K) 
   LET C1 = C(K) 
   LET FIRST = START(K) 
   LET LAST = STOP(K) 
   LET INCT = INC(K) 
   X1LABEL GAMMA = ^G1 
   X2LABEL C = ^C1 
   PLOT EWEHAZ(X,G1,C1) FOR X = FIRST INCT LAST 
END OF LOOP 
END OF MULTIPLOT