English

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

Methodology 2019-05-23 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1707.00705,
  title  = {The Nu Class of Low-Degree-Truncated, Rational, Generalized Functions. Ib. Integrals of Matern-correlation functions for all odd-half-integer class parameters},
  author = {Selden Crary and Richard Diehl Martinez and Michael Saunders},
  journal= {arXiv preprint arXiv:1707.00705},
  year   = {2019}
}

Comments

30 pages, 3 tables, 1 appendix