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Zhang, Chunming; Lu, Yuefeng – International Journal of Mathematical Education in Science and Technology, 2004
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…
Descriptors: College Mathematics, Intervals, Computation, Mathematics Instruction