| pdfcau {lmomco} | R Documentation |
This function computes the probability density
of the Cauchy distribution given parameters (xi and α) of the
distribution provided by parcau or vec2par. The probability density
function of the distribution is
f(x) = (π α [1 + ({frac{x-xi}{α}}^2)] )^{-1} mbox{,}
where f(x) is the probability density for quantile x, xi is a location parameter and α is a scale parameter.
pdfcau(x, para)
x |
A real value. |
para |
The parameters from parcau or vec2par. |
Probability density (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.
Evans, Merran, Hastings, Nicholas, Peacock, J.B., 2000, Statistical distributions: 3rd ed., Wiley, New York.
Gilchrist, W.G., 2000, Statistical modeling with quantile functions: Chapman and Hall/CRC, Boca Raton, FL.
cdfcau, quacau, parcau, vec2par
cau <- vec2par(c(12,12),type='cau') x <- quacau(0.5,cau) pdfcau(x,cau)