[Boost-bugs] [Boost C++ Libraries] #12407: typos/bugs in arcsine CDF and support?

Subject: [Boost-bugs] [Boost C++ Libraries] #12407: typos/bugs in arcsine CDF and support?
From: Boost C++ Libraries (noreply_at_[hidden])
Date: 2016-08-23 07:53:27

#12407: typos/bugs in arcsine CDF and support?
----------------------------------+---------------------------
 Reporter:  maciej.swat@…         |      Owner:  matias
     Type:  Bugs                  |     Status:  new
Milestone:  To Be Determined      |  Component:  Documentation
  Version:  Boost 1.61.0          |   Severity:  Cosmetic
 Keywords:  arcsine distribution  |
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 Hi, I have two questions/corrections regarding the arcsine distribution.

 1. On the website
 http://www.boost.org/doc/libs/1_61_0/libs/math/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html

 in the main text, the formula for CDF contains a bug.  Instead of
 F(x) = 2⋅arcsin(√((x-x_min)/(x_max - x))) / π
 it should be
 F(x) = 2⋅arcsin(√((x-x_min)/(x_max - x_min))) / π

 Note that the CDF is is correctly displayed in the 'Implementation' box
 F(x) = 2/π⋅sin-1(√(x - a) / (b - a) )

 2. Should the support be (0,1) instead of [0,1], see e.g.
 http://www.math.uah.edu/stat/special/Arcsine.html


 Best Regards, Maciej

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Ticket URL: <https://svn.boost.org/trac/boost/ticket/12407>
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