Triangledf

Purpose

Triangle distribution.

Synopsis

prob = triangledf(function,x,a,b,c)

Description

Estimates cumulative distribution function (cumulative, cdf), probability density function (density, pdf), quantile (inverse of cdf), or random numbers for a Triangle distribution. This distribution is usually used for rough models of data and is triangular in shape (hence the name).

INPUTS

• function = [ {'cumulative'} | 'density' | 'quantile' | 'random' ], defines the functionality to be used. Note that the function recognizes the first letter of each string so that the string could be: [ 'c' | 'd' | 'q' | 'r' ].
• x = matrix in which the sample data is stored (-inf,inf).
• quantile - interval (0,1).
• random - vector indicating the size of the random matrix to create.
• a = "min" parameter (real, <= mode).
• b = "max" parameter (real, >= mode).
• c = "mode" parameter (real, >= min and <=max).

Note: If inputs (x, a, b, and c) are not equal in size, the function will attempt to resize all inputs to the largest input using the RESIZE function. Note: Functions will typically allow input values outside of the acceptable range to be passed but will convert them to NaN.

Examples

Cumulative:

>> prob = triangledf('c',2,1,3,2) prob =

   0.5000

>> x = [0:0.1:10]; >> plot(x,triangledf('c',x,1,3,2),'b-',x,triangledf('c',x,1,5,3),'r-')

Density:

>> prob = triangledf('d',2,1,3,2) prob =

   1.0000

>> x = [0:0.1:10]; >> plot(x,triangledf('d',x,0,3,0),'b-',x,triangledf('d',x,1,3,2),'r-')

Quantile:

>> prob = triangledf('q',0.5,1,3,2) prob =

   2.0000

Random:

>> prob = triangledf('r',[4 1],1,3,2) ans =

   2.2817
   1.9431
   2.1094
   2.2585

See Also

betadr, cauchydf, chidf, expdf, gammadf, gumbeldf, laplacedf, logisdf, lognormdf, normdf, paretodf, raydf, unifdf, weibulldf