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est.rho

Mean Resultant Length


Description

Returns the mean resultant length of a vector of circular data.

Usage

est.rho(x)

Arguments

x

vector of data points measured in radians.

Details

Each observation is treated as a unit vector, or point on the unit circle. The resultant vector of the observations is found, and the length of the resultant vector divided by the sample size is returned.

Value

Returns the mean resultant length of data.

References

Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, Section 1.3, World Scientific Press, Singapore.

See Also

Examples

# Compute the mean resultant length of a random sample of observations.
data <- runif(100, 0, 2*pi)
est.rho(data)

CircStats

Circular Statistics, from "Topics in Circular Statistics" (2001)

v0.2-6
GPL-2
Authors
S-plus original by Ulric Lund <ulund@calpoly.edu>, R port by Claudio Agostinelli <claudio.agostinelli@unitn.it>
Initial release
2018-06-30

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