| cdfcau {lmomco} | R Documentation |
This function computes the cumulative probability or nonexceedance probability
of the Cauchy distribution given parameters (xi and α) of the
distribution provided by parcau or vec2par. The cumulative distribution
function of the distribution is
F(x) = frac{arctan(frac{x - xi}{α})}{π}+0.5 mbox{,}
where F(x) is the nonexceedance probability for quantile x, xi is a location parameter and α is a scale parameter.
cdfcau(x, para)
x |
A real value. |
para |
The parameters from parcau or vec2par. |
Nonexceedance probability (F) for x.
W.H. Asquith
Elamir, E.A.H., and Seheult, A.H., 2003, Trimmed L-moments: Computational Statistics and Data Analysis, vol. 43, pp. 299–314.
Gilchrist, W.G., 2000, Statistical modeling with quantile functions: Chapman and Hall/CRC, Boca Raton, FL.
para <- c(12,12) cdfcau(50,vec2par(para,type='cau'))