DISTRIB

The DISTRIB command will compute probabilities for variables.

In general, the format is:

  DISTRIB vars / options


The available options are:

Option Description
INVERSE Returns critical values for some distributions.
LLF Computes the Log of the Likelihood function for the data and prints it and stores it in the temporary variable $LLF.
NOLIST Suppresses list of probabilities.
ACCURACY= Level of accuracy for TYPE=DAVIES.
BEG=,END= Specifies the sample range to be used.
BIGN= Specifies the population size for the Hypergeometric distribution.
BIGX= Specifies the population number of successes for the Hypergeometric distribution.
C= Specifies a parameter value for some distributions.
CDF= Saves the cumulative distribution probability.
CRITICAL= Saves the critical values when the INVERSE option is used.
DF= Specifies the degrees of freedom. Used only with TYPE=T and TYPE=CHI.
DFVEC= Specifies vector of Degrees of Freedom for TYPE=DAVIES.
DF1=,DF2= Specifies the degrees of freedom for the numerator and the denominator. Used only with TYPE=F.
EIGENVAL= Specifies the eigenvalue to be used with the TYPE=IMHOF option.
H= Specifies the precision parameter for the t-distribution.
K= Parameter K for TYPE=BURRII, BURRIII, BURRXII
KURTOSIS= Specifies the population KURTOSIS parameter for an EDGE approximation.
LAMBDA= A LAMBDA vector with TYPE=DAVIES.
LIMIT= Integration terms with TYPE=DAVIES.
MEAN= Specifies the population mean value for some distributions.
N= Specifies a parameter value for some distributions.
NEIGEN= Specifies the number of Eigenvalues to be used with the TYPE=IMHOF option if the entire vector is not required.
NONCEN= Specifies the non-centrality parameter value of the Davies distribution.
PDF= Saves the densities in the variable specified.
P=,Q= Specifies parameter values for some distributions.
SKEWNESS= Specifies the population skewness coefficient for an EDGE approximation.
S=,V= Specifies parameter values for some distributions.
TYPE= Specifies the type of distribution. A list of options is given below.
VAR= Specifies the variance. Used only with TYPE=BETA, TYPE=EDGE and TYPE=NORMAL.
X= Specifies a parameter value for some distributions.

The types of distribution available on the TYPE= option are:

Option Description
BERNOULLI Bernoulli Distribution, parameter P=.
BETA Beta Distribution P= and Q=, or MEAN= and VAR= must be used. The beta variable must be in the 0-1 interval.
BINOMIAL Binomial Distribution, parameters N= and P=.
BURRII, BURRIII, BURRXII The Burr Distribution.
CAUCHY Cauchy Distribution (same as t with DF=1).
CHI Chi Squared Distribution DF= must be used.
DAVIES Davies Distribution.
EDGE Edgeworth Approximation MEAN=, VAR=, SKEWNESS= and KURTOSIS= should be used.
ERLANG Erlang Distribution, parameters are P= and Q=. Same as gamma with q an integer.
EXPONENTIAL Exponential distribution, parameter MEAN=.
EXTREME Extreme Value Distribution
F F Distribution
DF1= and DF2= must be used.
C= must be used for a Non-Central F Distribution.
GAMMA Gamma Distribution, parameters are P= and Q=.
GEOMETRIC Geometric Distribution, parameter P=.
HYPERGEO Hypergeometric Distribution, parameters are BIGN=, N= and BIGX=.
LOGISTIC Logistic distribution.
LOGNORMAL Lognormal distribution.
IG2 Inverted Gamma, parameters are S= and V=.
IMHOF Imhof Distribution. EIGENVAL= must be used.
NEGBIN Negative binomial distribution, parameters are P= and X=.
NORMAL Normal Distribution. MEAN=, and VAR= should be used with it.
PARETO Pareto distribution, parameter C= (default is C=1).
PASCAL Pascal distribution, parameters are P= and X=.
POISSON Poisson distribution, parameter MEAN=.
POWER Power function distribution, parameter C= (default is C=1).
T Student's t Distribution. DF= must be used.
WEIBULL Weibull distribution, parameters P= and Q=.