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Function Reference: bisapdf

statistics: y = bisapdf (x, beta, gamma)

Birnbaum-Saunders probability density function (PDF).

For each element of x, compute the probability density function (PDF) of the Birnbaum-Saunders distribution with scale parameter beta and shape parameter gamma. The size of y 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.

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

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

Source Code: bisapdf

Example: 1

Plot various PDFs from the Birnbaum-Saunders distribution

 x = 0.01:0.01:4;
 y1 = bisapdf (x, 1, 0.5);
 y2 = bisapdf (x, 1, 1);
 y3 = bisapdf (x, 1, 2);
 y4 = bisapdf (x, 1, 5);
 y5 = bisapdf (x, 1, 10);
 plot (x, y1, '-b', x, y2, '-g', x, y3, '-r', x, y4, '-c', x, y5, '-m')
 grid on
 ylim ([0, 1.5])
 legend ({'β = 1 ,γ = 0.5', 'β = 1, γ = 1', 'β = 1, γ = 2', ...
          'β = 1, γ = 5', 'β = 1, γ = 10'}, 'location', 'northeast')
 title ('Birnbaum-Saunders PDF')
 xlabel ('values in x')
 ylabel ('density')
plotted figure

Example: 2

Plot various PDFs from the Birnbaum-Saunders distribution

 x = 0.01:0.01:6;
 y1 = bisapdf (x, 1, 0.3);
 y2 = bisapdf (x, 2, 0.3);
 y3 = bisapdf (x, 1, 0.5);
 y4 = bisapdf (x, 3, 0.5);
 y5 = bisapdf (x, 5, 0.5);
 plot (x, y1, '-b', x, y2, '-g', x, y3, '-r', x, y4, '-c', x, y5, '-m')
 grid on
 ylim ([0, 1.5])
 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', 'northeast')
 title ('Birnbaum-Saunders CDF')
 xlabel ('values in x')
 ylabel ('density')
plotted figure