QUANTILE Function

Returns the quantile from a distribution when you specify the left probability (CDF).

Category:	Quantile
See:	CDF Function

Syntax

QUANTILE(dist,probability,parm-1,…,parm-k)

Required Arguments

dist

is a character constant, variable, or expression that identifies the distribution. Valid distributions are as follows:

Distribution	Argument
Bernoulli	`BERNOULLI`
Beta	`BETA`
Binomial	`BINOMIAL`
Cauchy	`CAUCHY`
Chi-Square	`CHISQUARE`
Exponential	`EXPONENTIAL`
F	`F`
Gamma	`GAMMA`
Generalized Poisson	`GENPOISSON`
Geometric	`GEOMETRIC`
Hypergeometric	`HYPERGEOMETRIC`
Laplace	`LAPLACE`
Logistic	`LOGISTIC`
Lognormal	`LOGNORMAL`
Negative binomial	`NEGBINOMIAL`
Normal	`NORMAL\|GAUSS`
Normal mixture	`NORMALMIX`
Pareto	`PARETO`
Poisson	`POISSON`
T	`T`
Tweedie	`TWEEDIE`
Uniform	`UNIFORM`
Wald (inverse Gaussian)	`WALD\|IGAUSS`
Weibull	`WEIBULL`

Note: Except for T, F, and NORMALMIX, you can minimally identify any distribution by its first four characters.

probability

is a numeric constant, variable, or expression that specifies the value of a random variable.

parm-1,…,parm-k

are optional shape, location, or scale parameters appropriate for the specific distribution.

Details

The QUANTILE function computes the probability from various continuous and discrete distributions. For more information, see the Detailssection of the CDF function.

Example

The following SAS statements produce these results.

SAS Statement	Result
y=quantile('BERN',.75,.25);	0
y=quantile('BETA',0.1,3,4);	0.2009088789
y=quantile('BINOM',.4,.5,10);	5
y=quantile('CAUCHY',.85);	1.9626105055
y=quantile('CHISQ',.6,11);	11.529833841
y=quantile('EXPO',.6);	0.9162907319
y=quantile('F',.8,2,3);	2.8860266073
y=quantile('GAMMA',.4,3);	2.285076904
y=quantile('GENPOISSON',.9,1,.7);	9
y=quantile('HYPER',.5,200,50,10);	2
y=quantile('LAPLACE',.8);	0.9162907319
y=quantile('LOGISTIC',.7);	0.8472978604
y=quantile('LOGNORMAL',.5);	1
y=quantile('NEGB',.5,.5,2);	1
y=quantile('NORMAL',.975);	1.9599639845
y=quantile('PARETO',.01,1);	1.0101010101
y=quantile('POISSON',.9,1);	2
y=quantile('T',.8,5);	0.9195437802
y=quantile('TWEEDIE',.8,5);	1.261087383
y=quantile('UNIFORM',0.25);	0.25
y=quantile('WALD',.6,2);	0.9526209927
y=quantile('WEIBULL',.6,2);	0.9572307621