A collection of distribution function plots.
The goal of this document is to show pdf and cdf plots for different distribution functions of the distfun toolbox.
Reference: Geometric distribution. In Wikipedia, The Free Encyclopedia. Retrieved 13:45, August 09, 2012, from http://en.wikipedia.org/wiki/Geometric_distribution
To make pdf plot, we can use the distfun_geopdf
function.
scf(); x = 0:10; y = distfun_geopdf(x,0.2); plot(x,y,"ro-"); y1 = distfun_geopdf(x,0.5); plot(x,y1,"go-"); y2 = distfun_geopdf(x,0.8); plot(x,y2,"bo-"); xtitle("Geometric PDF","x","P(x=x)"); legend(["pr=0.2","pr=0.5","pr=0.8"]); | ![]() | ![]() |
The previous script produces the following output.
To make cdf plot, we can use the distfun_geocdf
function.
x=(0:11)'; scf(); p1=distfun_geocdf(x,0.2); p2=distfun_geocdf(x,0.5); p3=distfun_geocdf(x,0.8); distfun_plotintcdf(x,[p1,p2,p3],["r" "b" "g"],.. ["pr=0.2" "pr=0.5" "pr=0.8"]); xtitle("Geometric CDF") | ![]() | ![]() |
The previous script produces the following output.
Reference: Binomial distribution. In Wikipedia, The Free Encyclopedia. Retrieved 14:54, August 10, 2012, from http://en.wikipedia.org/wiki/Binomial_distribution
To make pdf plot, we can use the distfun_binopdf
function.
scf(); N1 = 20; x = 0:N1; y1 = distfun_binopdf(x,N1,0.5); plot(x,y1,"bo-") N2 = 20; x = 0:N2; y2 = distfun_binopdf(x,N2,0.7); plot(x,y2,"go-") N3 = 40; x = 0:N3 y3 = distfun_binopdf(x,N3,0.5); plot(x,y3,"ro-") legend(["pr=0.5, N=20","pr=0.7, N=20","pr=0.5, N=40"]); xtitle("Binomial PDF","x","P(x)") | ![]() | ![]() |
To make cdf plot, we can use the distfun_binocdf
function.
scf(); x = (0:20)'; p1=distfun_binocdf(x,20,0.5); p2=distfun_binocdf(x,20,0.7); p3=distfun_binocdf(x,40,0.5); legendspec=["pr=0.5, N=20","pr=0.7, N=20","pr=0.5, N=40"]; distfun_plotintcdf(x,[p1,p2,p3],["b" "g" "r"],legendspec); xtitle("Binomial CDF") | ![]() | ![]() |
Reference: Chi-Square distribution. In Wikipedia, The Free Encyclopedia. Retrieved 15:16, August 10, 2012, from http://en.wikipedia.org/wiki/Chisquare_distribution
To make pdf plot, we can use the distfun_chi2pdf
function.
h=scf(); k = [2 3 4 6 9 12]; cols = [1 2 3 4 5 6]; lgd = []; for i = 1:size(k,'c') x = linspace(0,10,1000); y = distfun_chi2pdf ( x , k(i) ); plot(x,y) str = msprintf("k=%s",string(k(i))); lgd($+1) = str; end for i = 1:size(k,'c') hcc = h.children.children; hcc.children(size(k,'c') - i + 1).foreground = cols(i); end xtitle("Chi-square PDF","x","f(x)") legend(lgd); | ![]() | ![]() |
To make cdf plot, we can use the distfun_chi2cdf
function.
h=scf(); k = [2 3 4 6 9 12]; cols = [1 2 3 4 5 6]; lgd = []; for i = 1:size(k,'c') x = linspace(0,10,1000); y = distfun_chi2cdf ( x , k(i) ); plot(x,y) str = msprintf("k=%s",string(k(i))); lgd($+1) = str; end for i = 1:size(k,'c') hcc = h.children.children; hcc.children(size(k,'c') - i + 1).foreground = cols(i); end xtitle("Chi-square CDF","x","f(x)") legend(lgd); | ![]() | ![]() |
Reference: Poisson distribution. In Wikipedia, The Free Encyclopedia. Retrieved 15:16, August 10, 2012, from http://en.wikipedia.org/wiki/Poisson_distribution
To make pdf plot, we can use the distfun_poisspdf
function.
scf(); x = 0:20; y = distfun_poisspdf(x,1); plot(x,y,"ro-"); y1 = distfun_poisspdf(x,4); plot(x,y1,"go-"); y2 = distfun_poisspdf(x,10); plot(x,y2,"bo-"); xtitle("Poisson PDF","x","P(X=x)"); legend(["lambda=1","lambda=4","lambda=10"]); | ![]() | ![]() |
To make cdf plot, we can use the distfun_poisscdf
function.
h=scf(); x=(0:20)'; p1=distfun_poisscdf(x,1); p2=distfun_poisscdf(x,4); p3=distfun_poisscdf(x,10); legendspec=["lambda=1","lambda=4","lambda=10"]; distfun_plotintcdf(x,[p1,p2,p3],["r" "g" "b"],legendspec); xtitle("Poisson CDF") h.children.children(1).legend_location="in_lower_right"; | ![]() | ![]() |