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Function Reference: bisacdf

statistics: p = bisacdf (x, beta, gamma)
statistics: p = bisacdf (x, beta, gamma, 'upper')

Birnbaum-Saunders cumulative distribution function (CDF).

For each element of x, compute the cumulative distribution function (CDF) of the Birnbaum-Saunders distribution with scale parameter beta and shape parameter gamma. The size of p is the common size of x, beta and gamma. A scalar input functions as a constant matrix of the same size as the other inputs.

p = bisacdf (x, beta, gamma, "upper") computes the upper tail probability of the Birnbaum-Saunders distribution with parameters beta and gamma, at the values in x.

Further information about the Birnbaum-Saunders distribution can be found at https://en.wikipedia.org/wiki/Birnbaum%E2%80%93Saunders_distribution

See also: bisainv, bisapdf, bisarnd, bisafit, bisalike, bisastat

Source Code: bisacdf

Example: 1

Plot various CDFs from the Birnbaum-Saunders distribution

 x = 0.01:0.01:4;
 p1 = bisacdf (x, 1, 0.5);
 p2 = bisacdf (x, 1, 1);
 p3 = bisacdf (x, 1, 2);
 p4 = bisacdf (x, 1, 5);
 p5 = bisacdf (x, 1, 10);
 plot (x, p1, '-b', x, p2, '-g', x, p3, '-r', x, p4, '-c', x, p5, '-m')
 grid on
 legend ({'β = 1, γ = 0.5', 'β = 1, γ = 1', 'β = 1, γ = 2', ...
          'β = 1, γ = 5', 'β = 1, γ = 10'}, 'location', 'southeast')
 title ('Birnbaum-Saunders CDF')
 xlabel ('values in x')
 ylabel ('probability')
plotted figure

Example: 2

Plot various CDFs from the Birnbaum-Saunders distribution

 x = 0.01:0.01:6;
 p1 = bisacdf (x, 1, 0.3);
 p2 = bisacdf (x, 2, 0.3);
 p3 = bisacdf (x, 1, 0.5);
 p4 = bisacdf (x, 3, 0.5);
 p5 = bisacdf (x, 5, 0.5);
 plot (x, p1, '-b', x, p2, '-g', x, p3, '-r', x, p4, '-c', x, p5, '-m')
 grid on
 legend ({'β = 1, γ = 0.3', 'β = 2, γ = 0.3', 'β = 1, γ = 0.5', ...
          'β = 3, γ = 0.5', 'β = 5, γ = 0.5'}, 'location', 'southeast')
 title ('Birnbaum-Saunders CDF')
 xlabel ('values in x')
 ylabel ('probability')
plotted figure