The RELIABILITY Procedure

DISTRIBUTION Statement

  • DISTRIBUTION probability distribution-name;

The ANALYZE , PROBPLOT , RELATIONPLOT , and MODEL statements require you to specify the probability distribution that describes your data. You can specify a probability distribution for lifetime data by using the DISTRIBUTION statement anywhere after the PROC RELIABILITY statement and before the RUN statement. If you do not specify a distribution in a DISTRIBUTION statement, the normal distribution is assumed. In addition, you can specify a parametric non-homogeneous Poisson process model for recurrent events data in a DISTRIBUTION statement. The probability distribution for lifetime data or the model for recurrent events data specified determines the distribution for which parameters are estimated from your data. The valid distributions and the statements to which they apply are shown in Table 16.6 and Table 16.7.

Table 16.6: Probability Distributions for Lifetime Data

Distribution

Distribution-Name Specified

Statement

Binomial

BINOMIAL

ANALYZE

Exponential

EXPONENTIAL

ANALYZE, PROBPLOT,

   

RELATIONPLOT, MODEL

Extreme value

EXTREME | EV

ANALYZE, PROBPLOT,

   

RELATIONPLOT, MODEL

Generalized gamma

GAMMA

MODEL

Gompertz

GOMPERTZ | G2

ANALYZE, PROBPLOT

Three-parameter Gompertz

GOMPERTZ3 | G3

ANALYZE, PROBPLOT

Logistic

LOGISTIC | LOGIT

ANALYZE, PROBPLOT,

   

RELATIONPLOT, MODEL

Log-logistic

LLOGISTIC | LLOGIT

ANALYZE, PROBPLOT,

   

RELATIONPLOT, MODEL

Lognormal (base e)

LOGNORMAL | LNORM

ANALYZE, PROBPLOT,

   

RELATIONPLOT, MODEL

Lognormal (base 10)

LOGNORMAL10 | LNORM10

ANALYZE, PROBPLOT,

   

RELATIONPLOT, MODEL

Normal

NORMAL

ANALYZE, PROBPLOT,

   

RELATIONPLOT, MODEL

Poisson

POISSON

ANALYZE

Weibull

WEIBULL | W2

ANALYZE, PROBPLOT,

   

RELATIONPLOT, MODEL

Three-parameter Weibull

WEIBULL3 | W3

ANALYZE, PROBPLOT


Table 16.7: Poisson Process Models for Recurrence Data

NHPP Model

Distribution-Name Specified

Statement

Homogeneous

HPP

MODEL

Crow-AMSAA

NHPP(CA)  |  NHPP(CROWAMSAA)

MODEL

Log-linear

NHPP(LOG)  |  NHPP(LOGLINEAR)

MODEL

Power

NHPP(POW)  |  NHPP(POWER)

MODEL

Proportional intensity

NHPP(PROP)  |  NHPP(PROPORTIONAL)

MODEL