Dataplot Vol 2 Vol 1

# EWECHAZ

Name:
EWECHAZ (LET)
Type:
Library Function
Purpose:
Compute the standard form of the exponentiated Weibull cumulative hazard function with shape parameters and .
Description:
The standard form of the exponentiated Weibull cumulative hazard function is:

where and are shape parameters.

Syntax:
LET <y> = EWECHAZ(<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 cumulative 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.
Examples:
LET A = EWECHAZ(3,2,3)
LET A = EWECHAZ(A1,4,0.5)
LET X2 = EWECHAZ(X1,2,1.5)
LET X2 = EWECHAZ(X1,GAMMA,THETA)
Note:
The general form of the exponentiated Weibull cumulative hazard function includes the location parameter and the scale parameter . The general form of the cumulative hazard function can be computed from the standard form of the cumulative hazard function:

Default:
None
Synonyms:
None
Related Commands:
 EWECDF = Compute the exponentiated Weibull cumulative distribution function. EWEHAZ = Compute the exponentiated Weibull hazard function. EWEPDF = 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.
Reference:
"The Exponentiated Weibull Family: A Reanalysis of the Bus-Motor-Failure Data", Mudholkar, Srivastava, and Friemer, Technometrics, November, 1995 (pp. 436-445).
Applications:
Reliability Analysis
Implementation Date:
1998/5
Program:
```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 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01
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 2
.
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, C = ^C1
PLOT EWECHAZ(X,^G1,^C1) FOR X = ^FIRST ^INCT ^LAST
END OF LOOP
END OF MULTIPLOT
```

Date created: 11/13/2002
Last updated: 4/4/2003
Please email comments on this WWW page to alan.heckert@nist.gov.