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@ -34,6 +34,7 @@ from numpy import flatnonzero as nonzero
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from wafo.stats.estimation import FitDistribution
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from wafo.stats.estimation import FitDistribution
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from scipy.stats.distributions import floatinfo
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try:
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try:
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from scipy.stats.distributions import vonmises_cython
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from scipy.stats.distributions import vonmises_cython
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@ -845,7 +846,7 @@ def valarray(shape,value=nan,typecode=None):
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def argsreduce(cond, *args):
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def argsreduce(cond, *args):
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"""Return the sequence of ravel(args[i]) where ravel(condition) is True in 1D
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"""Return the sequence of ravel(args[i]) where ravel(condition) is True in 1D
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Parameters
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Parameters
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----------
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----------
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cond : array_like
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cond : array_like
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An array whose nonzero or True entries indicate the elements of each
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An array whose nonzero or True entries indicate the elements of each
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@ -3838,8 +3839,10 @@ genlogistic = genlogistic_gen(name='genlogistic', shapes='c')
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def log1pxdx(x):
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def log1pxdx(x):
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'''Computes Log(1+x)/x
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'''Computes Log(1+x)/x
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'''
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'''
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y = where(x == 0, 1.0, log1p(x) / x)
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xd = where((x == 0) | (x == inf), 1.0, x) # avoid 0/0 or inf/inf
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y = where(x == 0, 1.0, log1p(x) / xd)
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return where(x == inf, 0.0, y)
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return where(x == inf, 0.0, y)
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## y = ones(shape(x))
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## y = ones(shape(x))
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## k = (x!=0.0)
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## k = (x!=0.0)
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## y[k] = log1p(x[k])/x[k]
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## y[k] = log1p(x[k])/x[k]
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@ -3895,7 +3898,8 @@ class genpareto_gen(rv_continuous):
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def _argcheck(self, c):
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def _argcheck(self, c):
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c = arr(c)
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c = arr(c)
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self.b = where(c < 0, 1.0 / abs(c), inf)
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sml = floatinfo.machar.xmin # pab avoid division by zero warning
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self.b = where(c < 0, 1.0 / (abs(c) + sml), inf)
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return where(abs(c) == inf, 0, 1)
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return where(abs(c) == inf, 0, 1)
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def _pdf(self, x, c):
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def _pdf(self, x, c):
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#f = exp(-xn)/s; % for k==0
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#f = exp(-xn)/s; % for k==0
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@ -3906,20 +3910,21 @@ class genpareto_gen(rv_continuous):
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#Px = pow(1+c*x,arr(-1.0-1.0/c))
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#Px = pow(1+c*x,arr(-1.0-1.0/c))
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#return Px
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#return Px
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def _logpdf(self, x, c):
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def _logpdf(self, x, c):
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cx = where((c == 0) & (x == inf), 0.0, c * x).clip(min= -1.0)
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x1 = where((c == 0) & (x == inf), 0.0, x)
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cx = where((c == 0) & (x == inf), 0.0, c * x1)
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logpdf = where((cx == inf) | (cx == -1), -inf, -(x + cx) * log1pxdx(cx))
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logpdf = where((cx == inf) | (cx == -1), -inf, -(x + cx) * log1pxdx(cx))
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putmask(logpdf, (c == -1) & (x == 1.0), 0.0)
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putmask(logpdf, (c == -1) & (x == 1.0), 0.0)
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return logpdf
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return logpdf
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#return (-1.0-1.0/c) * np.log1p(c*x)
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#return (-1.0-1.0/c) * np.log1p(c*x)
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def _chf(self, x, c):
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def _logsf(self, x, c):
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cx = c * x
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cx = c * x
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return where((0.0 < x) & (-1.0 <= cx) & (c != 0), log1p(cx) / c, x)
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return where((0.0 < x) & (-1.0 <= cx) & (c != 0), -log1p(cx) / c, -x)
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def _cdf(self, x, c):
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def _cdf(self, x, c):
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log_sf = -self._chf(x, c)
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log_sf = self._logsf(x, c)
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return - expm1(log_sf)
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return - expm1(log_sf)
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#return 1.0 - pow(1+c*x,arr(-1.0/c))
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#return 1.0 - pow(1+c*x,arr(-1.0/c))
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def _sf(self, x, c):
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def _sf(self, x, c):
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log_sf = -self._chf(x, c)
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log_sf = self._logsf(x, c)
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return exp(log_sf)
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return exp(log_sf)
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def _ppf(self, q, c):
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def _ppf(self, q, c):
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log_sf = log1p(-q)
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log_sf = log1p(-q)
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@ -4116,23 +4121,30 @@ class genextreme_gen(rv_continuous):
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## pex2 = pow(ex2,1.0/c)
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## pex2 = pow(ex2,1.0/c)
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## p2 = exp(-pex2)*pex2/ex2
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## p2 = exp(-pex2)*pex2/ex2
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## return p2
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## return p2
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cx = c*x
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return exp(self._logpdf(x, c))
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def _logpdf(self, x, c):
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logex2 = where((c==0)*(x==x),0.0,log1p(-cx))
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x1 = where((c == 0) & (x == inf), 0.0, x)
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logpex2 = where((c==0)*(x==x),-x,logex2/c)
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cx = where((c==0) & (x==inf), 0.0, c * x1)
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cond1 = (c==0) * (x==x)
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logex2 = where(cond1,0.0,log1p(-cx))
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logpex2 = -x * log1pxdx(-cx)
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#logpex2 = where(cond1,-x,logex2/c)
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pex2 = exp(logpex2)
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pex2 = exp(logpex2)
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# % Handle special cases
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# % Handle special cases
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logpdf = where((cx==1) | (cx==-inf),-inf,-pex2+logpex2-logex2)
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logpdf = where((cx==1) | (cx==-inf),-inf,-pex2+logpex2-logex2)
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putmask(logpdf,(c==1) & (x==1),0.0) # logpdf(c==1 & x==1) = 0; % 0^0 situation
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putmask(logpdf,(c==1) & (x==1),0.0) # logpdf(c==1 & x==1) = 0; % 0^0 situation
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return logpdf
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return exp(logpdf)
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def _cdf(self, x, c):
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def _cdf(self, x, c):
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#return exp(-pow(1-c*x,1.0/c))
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#return exp(-pow(1-c*x,1.0/c))
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loglogcdf = where((c==0)*(x==x),-x,log1p(-c*x)/c)
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return exp(self._logcdf(x, c))
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return exp(-exp(loglogcdf))
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def _logcdf(self, x, c):
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x1 = where((c == 0) & (x == inf), 0.0, x)
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cx = where((c == 0) & (x == inf), 0.0, c * x1)
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loglogcdf = -x * log1pxdx(-cx)
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#loglogcdf = where((c==0)*(x==x),-x,log1p(-cx)/c)
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return -exp(loglogcdf)
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def _sf(self, x, c):
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return -expm1(self._logcdf(x, c))
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def _ppf(self, q, c):
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def _ppf(self, q, c):
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#return 1.0/c*(1.-(-log(q))**c)
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#return 1.0/c*(1.-(-log(q))**c)
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x = -log(-log(q))
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x = -log(-log(q))
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@ -5074,7 +5086,7 @@ class lognorm_gen(rv_continuous):
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#Px = exp(-log(x)**2 / (2*s**2)) -Px*2*log(x)/x
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#Px = exp(-log(x)**2 / (2*s**2)) -Px*2*log(x)/x
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#return Px / (s*x*sqrt(2*pi))
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#return Px / (s*x*sqrt(2*pi))
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def _logpdf(self, x, s):
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def _logpdf(self, x, s):
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return -log(x)**2 / (2*s**2) + np.where((x==0)*(s==s) , 0, - log(s*x*sqrt(2*pi)))
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return -log(x)**2 / (2*s**2) + np.where(x==0 , 0, - log(s*x*sqrt(2*pi)))
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def _cdf(self, x, s):
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def _cdf(self, x, s):
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return norm.cdf(log(x)/s)
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return norm.cdf(log(x)/s)
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def _ppf(self, q, s):
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def _ppf(self, q, s):
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@ -5111,6 +5123,8 @@ class gilbrat_gen(lognorm_gen):
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return lognorm_gen._rvs(self, 1.0)
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return lognorm_gen._rvs(self, 1.0)
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def _pdf(self, x):
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def _pdf(self, x):
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return lognorm_gen._pdf(self, x, 1.0)
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return lognorm_gen._pdf(self, x, 1.0)
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def _logpdf(self, x):
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return lognorm_gen._logpdf(self, x, 1.0)
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def _cdf(self, x):
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def _cdf(self, x):
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return lognorm_gen._cdf(self, x, 1.0)
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return lognorm_gen._cdf(self, x, 1.0)
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def _ppf(self, q):
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def _ppf(self, q):
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@ -7994,6 +8008,7 @@ Skellam distribution
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"""
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"""
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)
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)
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def test_lognorm():
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def test_lognorm():
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lognorm.cdf(np.nan, 0.5, loc=3, scale=1)
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lognorm.cdf(np.nan, 0.5, loc=3, scale=1)
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@ -8075,7 +8090,12 @@ def main():
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r = genpareto.rvs(0, size=100)
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r = genpareto.rvs(0, size=100)
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pht = genpareto.fit(r, 1, par_fix=[0, 0, nan])
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pht = genpareto.fit(r, 1, par_fix=[0, 0, nan])
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lp = pht.profile()
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lp = pht.profile()
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def test_genpareto():
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genextreme.pdf(np.inf,0)
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if __name__ == '__main__':
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if __name__ == '__main__':
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#main()
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#main()
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test_genpareto()
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#test_truncrayleigh()
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#test_truncrayleigh()
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test_lognorm()
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#test_lognorm()
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