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circular (version 0.5-1)

trigonometric.moment: Trigonometric Moments

Description

Computes the specified order trigonometric moment for a set of directional data points.

Usage

trigonometric.moment(x, p = 1, center = FALSE, control.circular = list())

Value

Returns a list with variables mu, rho, cos, sin, p, n, call, respectively the pth trigonometric moment's direction, resultant length, real and imaginary components, the order, the number of observations and the call.

Arguments

x

a vector of class circular.

p

order of trigonometric moment to be computed. Default is for a first order trigonometric moment.

center

logical, whether to compute centered moments or not. Default is to compute an uncentered moment.

control.circular

the attribute of the resulting object mu.

Author

Claudio Agostinelli and Ulric Lund

References

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

See Also

var.circular, mean.circular, summary.circular, mle.vonmises and rho.circular

Examples

Run this code

x <- rvonmises(100, circular(0), 5)
trigonometric.moment(x, control.circular=list(units="degrees"))

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