pdfcau {lmomco} | R Documentation |
Probability Density Function of the Cauchy Distribution
Description
This function computes the probability density
of the Cauchy distribution given parameters ( and
) provided by
parcau
. The probability density function is
where is the probability density for quantile
,
is a location parameter, and
is a scale parameter.
Usage
pdfcau(x, para)
Arguments
x |
A real value vector. |
para |
Value
Probability density () for
.
Author(s)
W.H. Asquith
References
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.
See Also
cdfcau
, quacau
, lmomcau
, parcau
, vec2par
Examples
cau <- vec2par(c(12,12),type='cau')
x <- quacau(0.5,cau)
pdfcau(x,cau)
[Package lmomco version 2.5.1 Index]