Function Reference: poisscdf

statistics: p = poisscdf (x, lambda)
statistics: p = poisscdf (x, lambda, "upper")

Poisson cumulative distribution function (CDF).

For each element of x, compute the cumulative distribution function (CDF) of the Poisson distribution with rate parameter lambda. The size of p is the common size of x and lambda. A scalar input functions as a constant matrix of the same size as the other inputs.

p = poisscdf (x, lambda, "upper") computes the upper tail probability of the Poisson distribution with parameter lambda, at the values in x.

Further information about the Poisson distribution can be found at https://en.wikipedia.org/wiki/Poisson_distribution

See also: poissinv, poisspdf, poissrnd, poissfit, poisslike, poisstat

Source Code: poisscdf

Example: 1

 

 ## Plot various CDFs from the Poisson distribution
 x = 0:20;
 p1 = poisscdf (x, 1);
 p2 = poisscdf (x, 4);
 p3 = poisscdf (x, 10);
 plot (x, p1, "*b", x, p2, "*g", x, p3, "*r")
 grid on
 ylim ([0, 1])
 legend ({"λ = 1", "λ = 4", "λ = 10"}, "location", "southeast")
 title ("Poisson CDF")
 xlabel ("values in x (number of occurences)")
 ylabel ("probability")

                    
plotted figure