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# weib2dprb

## PURPOSE

returns the probability for rectangular regions.

## SYNOPSIS

[y ,eps1] = weib2dprb(phat,x1lo,x1up,x2lo,x2up)

## DESCRIPTION

``` WEIB2DPRB returns the probability for rectangular regions.

CALL: [P tol] = weib2dprb(phat,x1lo,x1up,x2lo,x2up);

P    = probability
tol  = absolute tolerance, i.e., abs(int-intold)
phat = parameter vectr (see weib2dfit)
xilo = lower integration limits
xiup = upper integration limits

The size of P is the common size of XILO and XIUP.

Example
x1=linspace(0,10)';
phat = [ 1 2 .5 1.5 .8];
weib2dprb(phat,1,2,1,2)
f = weib2dpdf2(x1,x1,phat);
pdfplot(f); hold on,
plot([ 1 1 2 2 1],[1 2 2 1 1]), hold off

## CROSS-REFERENCE INFORMATION

This function calls:
 gaussq2d Numerically evaluates a 2D integral using Gauss quadrature. error Display message and abort function. num2cell Convert numeric array into cell array.
This function is called by:

## SOURCE CODE

```001 function  [y ,eps1] = weib2dprb(phat,x1lo,x1up,x2lo,x2up)
002 %WEIB2DPRB returns the probability for rectangular regions.
003 %
004 % CALL: [P tol] = weib2dprb(phat,x1lo,x1up,x2lo,x2up);
005 %
006 %   P    = probability
007 %   tol  = absolute tolerance, i.e., abs(int-intold)
008 %   phat = parameter vectr (see weib2dfit)
009 %   xilo = lower integration limits
010 %   xiup = upper integration limits
011 %
012 %  The size of P is the common size of XILO and XIUP.
013 %
014 % Example
015 %  x1=linspace(0,10)';
016 %  phat = [ 1 2 .5 1.5 .8];
017 %  weib2dprb(phat,1,2,1,2)
018 %  f = weib2dpdf2(x1,x1,phat);
019 %  pdfplot(f); hold on,
020 %  plot([ 1 1 2 2 1],[1 2 2 1 1]), hold off
021 %
023
024
025 % tested on: matlab 5.2
026 % history:
027 % revised pab 27.10.2000
028 %  - added example text
029 %  Per A. Brodtkorb 28.10.98
030
031 error(nargchk(5,5,nargin))
032 if length(phat)~=5, error('phat must have 5 elements'),end
033 eps2=1e-5;%relative tolerance
034 % nit toolbox function
035 ph=num2cell(phat(:)',1);
036 [y eps1] = gaussq2d('weib2dpdf',x1lo,x1up,x2lo,x2up,eps2,ph{:});
037
038
039```

Mathematical Statistics
Centre for Mathematical Sciences
Lund University with Lund Institute of Technology

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