[Scipy-tickets] [SciPy] #1493: scipy.stats.invnorm.ppf fails

SciPy Trac scipy-tickets@scipy....
Fri Aug 12 20:37:33 CDT 2011

#1493: scipy.stats.invnorm.ppf fails
 Reporter:  mw263        |       Owner:  somebody   
     Type:  defect       |      Status:  new        
 Priority:  normal       |   Milestone:  Unscheduled
Component:  scipy.stats  |     Version:  0.9.0      
 Keywords:               |  
Changes (by josefpktd):

  * component:  Other => scipy.stats


 ppf is solved for numerically, xa and xb are the bounds for the solver
 In the failing case xb is too small. It can be reset by assignment.

 >>> stats.invnorm.ppf(0.8455, 7.24000019602, scale=2.51913630166)
 >>> stats.invnorm.xb
 >>> stats.invnorm.xa
 >>> stats.invnorm.xb = 20
 >>> stats.invnorm.ppf(0.8465, 7.24000019602, scale=2.51913630166)

 xa, xb are usually set so that it has a "reasonable" range for most
 values. Until now I have seen only failures for quantiles close to 1, e.g.

 I don't know what the shape for invnorm is. If xb is too low, then it
 should be increased in scipy.

 However, there will always be cases where xa or xb are too large or too
 small for brentq to work. for example with xb=20:

 >>> stats.invnorm.ppf(0.99, 7.24000019602, scale=2.51913630166)
 Traceback (most recent call last):
 ValueError: f(a) and f(b) must have different signs

 One suggestion: catch this exception from brentq and try again, either
 with widened interval (xa,xb) or switch to fsolve which does not require
 bounds, but might be slower in general.

Ticket URL: <http://projects.scipy.org/scipy/ticket/1493#comment:1>
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