In probability theory and statistics, a shape parameter is a special kind of numerical parameter of a parametric family of probability distributions. It has been suggested that this article or section be merged with Probability axioms. ... Template:Otherusescccc A graph of a bell curve in a normal distribution showing statistics used in educational assessment, comparing various grading methods. ... A numerical parameter is an unspecified quantity used in a function that would be completely specified if the parameter were known. ... In mathematics and statistics, a probability distribution, more properly called a probability density, assigns to every interval of the real numbers a probability, so that the probability axioms are satisfied. ...
Definition
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Examples
The following continuous probability distributions have a shape parameter:
Most of the parameters for continuous distributions can be classified, on the basis of their physical or geometric interpretation, as being one of three basic types: location, scale, or shapeparameters.
A location parameter l specifies an abscissa (x axis) location point of a distribution's range of values; usually, l is the midpoint (e.g., the mean of a normal distribution) or lower endpoint (e.g., location for a Pearson type V distribution) of the distribution's range.
A shapeparameter a determines, distinct from location and scale, the basic form or shape of a distribution with the general family of distributions of interest.
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