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

2017/07/03 by S. B. Crary, Selden Crary, Richard Diehl Martinez +4
Decision Sciences · Engineering · Mathematics · #Advanced Statistical Methods and Models #Control Systems and Identification #FOS: Computer and information sciences #Methodology (stat.ME) #Probabilistic and Robust Engineering Design #stat.ME

paper · pdf · doi:10.48550/arxiv.1707.00705

30 pages, 3 tables, 1 appendix

openalex publication_date 2017/07/03 · arxiv created 2019/05/22 · arxiv updated 2019/05/23 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

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.

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