RT_weibcdf

(rtools/RT_weibcdf.m)

Function Synopsis

[p,q] = RT_weibcdf(x,aval,mu)

Help text

function [p,q] = RT_weibcdf(x,a,mu)

 Returns the Weibull cumulative distribution with shape
 parameter A and mean MU at the values in x.

 Note that this is not the `usual' form for the Weibull, which uses a
 non-linear scale parameter (b). For simulation, explicit definition
 in terms of the mean MU is more meaningful. For theoretical
 manipulation of equations, you're better off using b though.
 The conversion from b is MU = a^(-b) * gamma(1 + b) which is performed in
 RT_weibest.m

 A Weibull distribution in Amplitude, is also a Weibull distribution
 in Intensity. This `power law invariance' is useful for simulation, but
 it causes confusion over whether the `usual' shape parameter (c) refers
 to Amplitude _or_ Intensity in radar texts. It most often refers to Amplitude,
 but this toolbox uses Intensity as the natural measure, so check your
 conventions.

 The form used is such that the mean value is MU and larger
 A is closer to a Gaussian distribution. A = 1 is equivalent to
 an exponential distribution.

 Q is returned as the complementary value, and is calculated
 separately from P via dcdflib. This allows the full range
 of realmin < x < realmax to be processed for inversion via
 RT_weibinv

 Source: Direct evaluation

 Part of the Matlab Radar Toolbox v0.11 by Glen Davidson at www.radarworks.com
 Please acknowledge use of this toolbox in any publication or software.
 This header must be retained in any derivative work

Cross-Reference Information

RT_gamcdf                     rtools/RT_gamcdf.m

statistics_demo               rtools/statistics_demo.m