Nothing

```
getBandWidth <-
function(A, kmax = 3) {
estkappa <- numeric(kmax)
for (k in 1:kmax) {
trigmom <- TrigMomRad(A, k)
# CHECK Afun value at end points: opposite signs or zero
# Upper limit reduced from 500 to 345 in version 0.3.1.9003, 2018-05-03
if (Afun(0.0001, trigmom, k) * Afun(345, trigmom, k) <= 0)
estkappa[k] <- uniroot(Afun, c(0.0001,345), trigmom, k)$root
}
kappahat <- max(estkappa[1:kmax])
if(kappahat > 0) {
return( ( 3 * length(A) * kappahat^2 * besselI(2 * kappahat, 2) /
(4 * sqrt(pi) * besselI(kappahat, 0)^2) )^(2/5) )
} else { # Would happen if all k gave uniroot errors.
return(NA)
}
}
TrigMomRad <-
function(x, p) {
sinr <- sum(sin(x))
cosr <- sum(cos(x))
circmean <- atan2(sinr, cosr)
sin.p <- mean(sin(p * (x - circmean)))
cos.p <- mean(cos(p * (x - circmean)))
sqrt(sin.p^2 + cos.p^2)
}
Afun <-
function(kappa, trigmom, k) {
besselI(kappa, k) / besselI(kappa, 0) - trigmom
}
```

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