def pdf_phi ( x ):
return sin2x.pdf( x )
''' Created on 28.09.2011 @author: axel ''' from stats.pdistrib.sin2x_distr import sin2x from stats.pdistrib.sinus_distribution import sin_distr import numpy as np from math import pi as Pi from matplotlib import pyplot as plt x = np.linspace( 0, Pi / 2 , 10000 ) pdf = sin2x.pdf( x ) sin2stats = sin2x.stats() #plt.plot( x, y2 ) plt.fill( x, pdf, facecolor = 'red', alpha = 0.2 , hatch = '\\' ) plt.axvline( x = sin2stats[0] , linewidth = 2.0, color = 'red' ) plt.xlabel( '$\phi$ in [$Rad$]', fontsize = 20 ) plt.ylabel( '$f_\phi (\phi)$', fontsize = 22 ) plt.title( 'Dichtefunktion PDF $sin(2\phi)$' , fontsize = 20 ) plt.xlim( 0, Pi / 2 ) legend_names = ['Erwartungswert $E_\phi(\phi)$', 'Dichtefunktion $sin(x)$'] plt.legend( legend_names, 'upper left' ) plt.show() ppf_x = np.linspace( 0, 1 , 10000 ) ppf = sin2x.ppf( ppf_x ) ppf[-1] = 0 nulls = np.zeros( len( ppf ) ) #plt.fill( x, ppf, facecolor = 'red', alpha = 0.2 , hatch = '/' ) plt.fill( ppf_x , ppf, facecolor = 'red', alpha = 0.2 , hatch = '\\' ) plt.title( 'Inverse Verteilungsfunktion PPF $sin(2\phi)$' , fontsize = 20 )
