File:Some lognormal distributions.svg
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Description 
English: Some lognormal distributions.

Date  27 February 2011 
Source  Own work 
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from numpy import * from matplotlib.pyplot import * from mpl_toolkits.axes_grid.axislines import SubplotZero pdf = lambda s,m,x: exp((log(x)m)**2 / (2.*s**2)) / ( x*sqrt(2.*pi*s**2) ) fig = figure(figsize=(7,7)) ax = SubplotZero(fig,111) fig.add_subplot(ax) for direction in ["xzero","yzero"]: ax.axis[direction].set_visible(True) ax.axis[direction].set_axisline_style(">") for direction in ["top","bottom","left","right"]: ax.axis[direction].set_visible(False) ax.axis["yzero"].set_axis_direction("left") ax.grid(False) ax.minorticks_on() x = linspace(.001,3,150) ax.plot(x,pdf(1.,0.,x)) ax.text(.1,.7,r'$\mu=0$, $\sigma=1$',colour='b') ax.plot(x,pdf(.5,0.,x),'g') ax.text(.15,.9,r'$\mu=0$, $\sigma=0.5$',colour='g') ax.plot(x,pdf(.25,0.,x),'r') ax.text(.5,1.7,r'$\mu=0$, $\sigma=0.25$',colour='r') ax.set_ylim(0,2.1) ax.set_xlim(0,3) ax.axis["xzero"].label.set_text(r'$x$') ax.axis["yzero"].label.set_text(r'$f_x(x;\mu,\sigma)=\frac{1}{x\sigma\sqrt{2\pi}}e^{\frac{\left(\ln x\mu\right)^2}{2\sigma^2}}$') fig.savefig("Test.svg",bbox_inches="tight",pad_inches=.15) 
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