>>>>> "William" == William Asquith <[hidden email]>
>>>>> on Tue, 31 Jan 2006 21:14:50 -0600 writes:
William> I have question (curiosity) regarding returned values of R's qcauchy
William> () function,
William> for nonexceedance probability (F). It seems the ideal returned range
William> of cauchy distribution should be [-Inf,Inf].
William> For F=0
William>  -Inf
William> but for F=1
William>  8.16562e+15
William> It seems to me that the proper return value should be Inf???
yes, but istn't 8 * 10^15 a good approximation to +Inf ? :-) :-)
William> For default (location=0,scale=1) quantile function of cauchy
William> x(F) = tan(pi * (F - 0.5))
William> For F = 0
William>  -1.633124e+16
William> For F = 1
William>  1.633124e+16
William> So I conclude that qcauchy(0) properly handles the -Inf result and
William> the qcauchy(1) returns a very large number,
William> curiously not equal to tan (0.5*pi), but certainly not Inf.
The reason for the current behavior is the following part of