id: 02359528
dt: j
an: 2004c.02631
au: Zhang, Chunming; Lu, Yuefeng
ti: A note on beta function, Parseval identity, and a family of integrals in
non-parametric regression.
so: Int. J. Math. Educ. Sci. Technol. 35, No. 2, 303-309 (2004).
py: 2004
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: I55
ut: Fourier transform; density functions
ci:
li: doi:10.1080/00207390310001658474
ab: A family of integrals over infinite intervals appears frequently in the
statistical literature on non-parametric regression. This note presents
two simple transform methods, based on beta function and Parseval
identity, to explicitly evaluate these integrals. These methods will
benefit researchers and practitioners working in non-parametric
regression, whenever they encounter similar types of problems to solve.
rv: