Statistical Distributions Overview

Each Random Variable that you define for a Slide Probabilistic Analysis, must have a Statistical Distribution selected. The following Statistical Distributions are available in Slide:

The type of Statistical Distribution, together with the statistical parameters of the distribution (mean, standard deviation, minimum and maximum values), define a "probability density function" for the Random Variable. A "probability density function" is commonly referred to as a PDF.

The PDF describes the distribution of possible values that the Random Variable may assume, for a hypothetical, infinite set of observations of the variable.

In most cases, very limited data is available, on which to decide what Statistical Distribution and standard deviation to use. Therefore, the engineer must often rely on "best estimates", when defining the PDF for a Random Variable.

Normal Distribution

A Normal Distribution is commonly used for statistical analysis in geotechnical engineering. When the true distribution of a variable is not known, a Normal Distribution is often assumed. By making a best estimate of the minimum and maximum values of the variable, a standard deviation can be estimated. This is described in the Normal Distribution topic.

Other Distributions

Although a Normal Distribution is most commonly used, the user should become familiar with the properties, and advantages of using other Statistical Distributions.

The Statistical Distributions available in Slide are briefly described in the following topics. For further information, you should consult one of the many reference works which are available on the subject.