getRiceParam | R Documentation |
Estimates the location parameter nu and the scale parameter sigma of the Rice distribution together with the radial mean MR and radial standard deviation RSD based on a set of 2D-coordinates. Includes the parametric confidence interval for sigma.
getRiceParam(xy, level = 0.95, doRob = FALSE, type = c('LiZhangDai', 'MOM'))
## S3 method for class 'data.frame'
getRiceParam(xy, level = 0.95, doRob = FALSE, type=c('LiZhangDai', 'MOM'))
## Default S3 method:
getRiceParam(xy, level = 0.95, doRob = FALSE, type=c("LiZhangDai", 'MOM'))
xy |
either a numerical (n x 2)-matrix with the (x,y)-coordinates of n points (1 row of coordinates per point), or a data frame with either the variables |
level |
a numerical value with the coverage for the confidence interval for sigma. |
doRob |
logical: use robust estimation of center and covariance matrix as basis for estimators? |
type |
The initial biased nu estimate is the Euclidean norm of the group center. For |
The sigma estimate uses getRayParam
. The robust estimate for the center and for the covariance matrix of (x,y,z)-coordinates is from covMcd
using the MCD algorithm.
A list with the estimates for nu, sigma, RSD, and MR including the confidence interval for sigma.
nu |
The estimated location parameter nu. |
sigma |
A vector with the sigma estimate and confidence interval bounds as named elements |
MR |
The MR estimate. |
RSD |
The RSD estimate. |
https://reference.wolfram.com/language/ref/RiceDistribution.html
Li, Q., Zhang, J., & Dai, S. (2009). On estimating the non-centrality parameter of a chi-squared distribution. Statistics and Probability Letters 79, 98-114.
Rice
,
getRayParam
,
getCEP
,
getHitProb
,
covMcd
getRiceParam(DF300BLKhl, level=0.95, doRob=FALSE)
# coordinates given by a matrix
## Not run:
xy <- matrix(round(rnorm(60, 0, 5), 2), ncol=2)
getRiceParam(xy, level=0.95, doRob=FALSE)
## End(Not run)
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