id	summary	reporter	owner	description	type	status	milestone	component	version	severity	resolution	keywords	cc
12407	typos/bugs in arcsine CDF and support?	maciej.swat@…	John Maddock	"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
"	Bugs	closed	To Be Determined	math	Boost 1.61.0	Cosmetic	fixed	arcsine distribution	maciej.swat@… pbristow@…