internal function

Internal Functions

Internal functions not designed to be used directly, but are all exported to make them visible to users.

kdenx(x, kerncentres, lambda, kernel = "gaussian")

pkdenx(x, kerncentres, lambda, kernel = "gaussian")

bckdenxsimple(x, kerncentres, lambda, kernel = "gaussian")

pbckdenxsimple(x, kerncentres, lambda, kernel = "gaussian")

bckdenxcutnorm(x, kerncentres, lambda, kernel = "gaussian")

pbckdenxcutnorm(x, kerncentres, lambda, kernel = "gaussian")

bckdenxrenorm(x, kerncentres, lambda, kernel = "gaussian")

pbckdenxrenorm(x, kerncentres, lambda, kernel = "gaussian")

bckdenxreflect(x, kerncentres, lambda, kernel = "gaussian")

pbckdenxreflect(x, kerncentres, lambda, kernel = "gaussian")

pxb(x, lambda)

bckdenxbeta1(x, kerncentres, lambda, xmax)

pbckdenxbeta1(x, kerncentres, lambda, xmax)

bckdenxbeta2(x, kerncentres, lambda, xmax)

pbckdenxbeta2(x, kerncentres, lambda, xmax)

bckdenxgamma1(x, kerncentres, lambda)

pbckdenxgamma1(x, kerncentres, lambda)

bckdenxgamma2(x, kerncentres, lambda)

pbckdenxgamma2(x, kerncentres, lambda)

bckdenxcopula(x, kerncentres, lambda, xmax)

pbckdenxcopula(x, kerncentres, lambda, xmax)

pbckdenxlog(x, kerncentres, lambda, offset, kernel = "gaussian")

pbckdenxnn(x, kerncentres, lambda, kernel = "gaussian", nn)

qmix(x, u, epsilon)

qmixprime(x, u, epsilon)

qgbgmix(x, ul, ur, epsilon)

qgbgmixprime(x, ul, ur, epsilon)

pscounts(x, beta, design.knots, degree)

Arguments

• x: quantiles
• kerncentres: kernel centres (typically sample data vector or scalar)
• lambda: bandwidth for kernel (as half-width of kernel) or NULL
• kernel: kernel name (default = "gaussian")
• xmax: upper bound on support (copula and beta kernels only) or NULL
• offset: offset added to kernel centres (logtrans only) or NULL
• nn: non-negativity correction method (simple boundary correction only)
• u: threshold
• epsilon: interval half-width
• ul: lower tail threshold
• ur: upper tail threshold
• beta: vector of B-spline coefficients (required)
• design.knots: spline knots for splineDesign function
• degree: degree of B-splines (0 is constant, 1 is linear, etc.)

Details

Internal functions not designed to be used directly. No error checking of the inputs is carried out, so user must be know what they are doing. They are undocumented, but are made visible to the user.

Mostly, these are used in the kernel density estimation functions.

Acknowledgments

Based on code by Anna MacDonald produced for MATLAB.

See Also

density, kden

and bckden.

Author(s)

Yang Hu and Carl Scarrott carl.scarrott@canterbury.ac.nz .