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# EV1CHAZ

Name:
EV1CHAZ (LET)
Type:
Library Function
Purpose:
Compute the standard form of the extreme value type I (also known as the Gumbel distribution) cumulative hazard function.
Description:
For the minimum order statistic, the standard form of the extreme value type I distribution has the following cumulative hazard function:

For the maximum order statistic, the standard form of the extreme value type I distribution has the following cumulative hazard function:

Syntax:
LET <y> = EV1CHAZ(<x>)             <SUBSET/EXCEPT/FOR qualification>
where <x> is a variable, a number, or a parameter;
<y> is a variable or a parameter (depending on what <x> is) where the computed extreme value type I cumulative hazard value is saved;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
LET A = EV1CHAZ(3)
LET X2 = EV1CHAZ(X1)
Note:
The SET MINMAX command specifies whether the minimum or maximum order statistic form is used. Entering SET MINMAX 2 specifies the maximum order statistic while SET MINMAX 1 specifies the minimum order statistic. This command is required before using the EV1CHAZ function.
Default:
None
Synonyms:
None
Related Commands:
 EV1CDF = Compute the extreme value type I cumulative distribution function. EV1PDF = Compute the extreme value type I probability density function. EV1PPF = Compute the extreme value type I percent point function. EV1HAZ = Compute the extreme value type I hazard function. EV2PDF = Compute the extreme value type II probability density function. WEIPDF = Compute the Weibull probability density function. EXPPDF = Compute the exponential probability density function.
Reference:
"Continuous Univariate Distributions: Volume 2", 2nd. Ed., Johnson, Kotz, and Balakrishnan, John Wiley, 1994.
Applications:
Reliability, Extreme Values Analysis
Implementation Date:
1999/6
Program:
```    SET MINMAX 2
TITLE AUTOMATIC
PLOT EV1CHAZ(X) FOR X = -4  0.01  4
```

Date created: 10/9/2001
Last updated: 4/4/2003