norm_const_K {FKSUM}

Normalising constant for kernels in FKSUM

Description

Computes the normalising constant for kernels implemented in the FKSUM package, to convert kernel with arbitrary beta coefficients to one which is a probability density. That is the kernel with coefficients equal to beta/norm_const_beta(beta) has unit integral

Usage

norm_const_K(beta)

Arguments

beta

numeric vector of positive coefficients.

Value

positive numeric normalising constant

References

Hofmeyr, D.P. (2021) "Fast exact evaluation of univariate kernel sums", IEEE Transactions on Pattern Analysis and Machine Intelligence, 43(2), 447-458.