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arxiv: 1707.00705 · v2 · pith:TFBAA3JPnew · submitted 2017-07-03 · 📊 stat.ME

The Nu Class of Low-Degree-Truncated, Rational, Generalized Functions. Ib. Integrals of Matern-correlation functions for all odd-half-integer class parameters

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keywords functionsclassgeneralizedintegralsmatern-covariancenu-classodd-half-integerparameters
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This paper is an extension of Parts I and Ia of a series about Nu-class generalized functions. We provide hand-generated algebraic expressions for integrals of single Matern-covariance functions, as well as for products of two Matern-covariance functions, for all odd-half-integer class parameters. These are useful both for IMSPE-optimal design software and for testing universality of Nu-class generalized-function properties, across covariance classes.

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