def Lognormal(mu=0, sigma=1, shift=0, scale=1): R""" Log-normal distribution Parameters ---------- mu : float, Dist Mean in the normal distribution. Overlaps with scale by mu=log(scale) sigma : float, Dist Standard deviation of the normal distribution. shift : float, Dist Location of the lower bound. scale : float, Dist Scale parameter. Overlaps with mu by scale=e**mu Examples -------- >>> cp.seed(1000) >>> f = cp.Lognormal(0, 1) >>> q = np.linspace(0,1,6)[1:-1] >>> print f.inv(q) [ 0.43101119 0.77619841 1.28833038 2.32012539] >>> print f.fwd(f.inv(q)) [ 0.2 0.4 0.6 0.8] >>> print f.sample(4) [ 1.48442856 0.30109692 5.19451094 0.95632796] >>> print f.mom(1) 1.6487212707 """ dist = co.lognormal(sigma)*scale*np.e**mu + shift dist.addattr(str="Lognormal(%s,%s,%s,%s)"%(mu,sigma,shift,scale)) return dist
def Lognormal(mu=0, sigma=1, shift=0, scale=1): R""" Log-normal distribution Parameters ---------- mu : float, Dist Mean in the normal distribution. Overlaps with scale by mu=log(scale) sigma : float, Dist Standard deviation of the normal distribution. shift : float, Dist Location of the lower bound. scale : float, Dist Scale parameter. Overlaps with mu by scale=e**mu Examples -------- >>> cp.seed(1000) >>> f = cp.Lognormal(0, 1) >>> q = np.linspace(0,1,6)[1:-1] >>> print f.inv(q) [ 0.43101119 0.77619841 1.28833038 2.32012539] >>> print f.fwd(f.inv(q)) [ 0.2 0.4 0.6 0.8] >>> print f.sample(4) [ 1.48442856 0.30109692 5.19451094 0.95632796] >>> print f.mom(1) 1.6487212707 """ dist = co.lognormal(sigma) * scale * np.e**mu + shift dist.addattr(str="Lognormal(%s,%s,%s,%s)" % (mu, sigma, shift, scale)) return dist
def Gilbrat(scale=1, shift=0): """ Gilbrat distribution Standard log-normal distribution Parameters ---------- scale : float, Dist Scaling parameter shift : float, Dist Location parameter """ dist = co.lognormal(1)*scale + shift dist.addattr(str="Gilbrat(%s,%s)"%(scale, shift)) return dist
def Gilbrat(scale=1, shift=0): """ Gilbrat distribution Standard log-normal distribution Parameters ---------- scale : float, Dist Scaling parameter shift : float, Dist Location parameter """ dist = co.lognormal(1) * scale + shift dist.addattr(str="Gilbrat(%s,%s)" % (scale, shift)) return dist