This function estimates the L-moments of the Rice distribution given the parameters (\(\nu\) and \(\alpha\)) from parrice. The L-moments in terms of the parameters are complex. They are computed here by the system of maximum order statistic expectations from theoLmoms.max.ostat, which uses expect.max.ostat. The connection between \(\tau_2\) and \(\nu/\alpha\) and a special function (the Laguerre polynomial, LaguerreHalf) of \(\nu^2/\alpha^2\) and additional algebraic terms is tabulated in the R data.frame located within .lmomcohash$RiceTable. The file SysDataBuilder.R provides additional details.
lmomrice(para, ...)An R
list is returned.
Vector of the L-moments. First element is \(\lambda_1\), second element is \(\lambda_2\), and so on.
Vector of the L-moment ratios. Second element is \(\tau\), third element is \(\tau_3\) and so on.
Level of symmetrical trimming used in the computation, which is 0.
Level of left-tail trimming used in the computation, which is NULL.
Level of right-tail trimming used in the computation, which is NULL.
An attribute identifying the computational source of the L-moments: “lmomrice”, but the exact contents of the remainder of the string might vary as limiting distributions of Normal and Rayleigh can be involved for \(\nu/\alpha > 52\) (super high SNR, Normal) or \(24 < \nu/\alpha \le 52\) (high SNR, Normal) or \(\nu/\alpha < 0.08\) (very low SNR, Rayleigh).
The parameters of the distribution.
Additional arguments passed to theoLmoms.max.ostat.
W.H. Asquith
Asquith, W.H., 2011, Distributional analysis with L-moment statistics using the R environment for statistical computing: Createspace Independent Publishing Platform, ISBN 978--146350841--8.
parrice, cdfrice, cdfrice, quarice