findh: Calculate the Estimated Smoothing Parameter
Description
This function is used to obtain the estimated smoothing parameter $\hat h$ that will be
used in the circular kernel density estimator (see circ.kernel).
Usage
findh(data, h = 1, to = 1)
Arguments
data
the data vector from which to calculate the estimated
smoothing parameter $\hat h$ that will be used in the circular kernel density estimator.
h
integer value from 1 to 9, specifying the smoothing parameter to calculate
according to the following table:
l{
$\hat h_1=1.06sn^{-1/5}$
$\hat h_2=1.06s_\circ n^{-1/5}$
$\hat h_3=1.06\bar{D}_\circ n^{-1/5}$
$\hat h_4=1.06|{D}_\circ|n
to
the value of the maximum domain of the data. Values will usually
either be 1 or 2$\pi$.
Value
The function produces a single real value between 0 and 1, representing the rounded value (to 2 decimal
places) of the estimating smoothing parameter.
References
Jammalamadaka S, SenGupta A (2001). "Topics in circular statistics." World Scientific Publishing
Co. Pte. Ltd.
Hall P, Watson G, Cabrera J (1987). "Kernel density estimation with spherical data."
Biometrika, 74 (4), 751-762.
Schutte WD (2014). Nonparametric estimation of the off-pulse interval(s) of a pulsar light
curve. Ph.D. thesis, North-West University. URL http://hdl.handle.net/10394/12199