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Mathematics > Statistics Theory

arXiv:1804.09402 (math)
[Submitted on 25 Apr 2018 (v1), last revised 11 Jul 2019 (this version, v4)]

Title:On nonparametric inference for spatial regression models under domain expanding and infill asymptotics

Authors:Daisuke Kurisu
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Abstract:In this paper, we develop nonparametric inference on spatial regression models as an extension of Lu and Tj\ostheim(2014), which develops nonparametric inference on density functions of stationary spatial processes under domain expanding and infill (DEI) asymptotics. In particular, we derive multivariate central limit theorems of mean and variance functions of nonparametric spatial regression models. Built upon those results, we propose a method to construct confidence bands for mean and variance functions.
Comments: 18 pages
Subjects: Statistics Theory (math.ST)
Cite as: arXiv:1804.09402 [math.ST]
  (or arXiv:1804.09402v4 [math.ST] for this version)
  https://doi.org/10.48550/arXiv.1804.09402

Submission history

From: Daisuke Kurisu [view email]
[v1] Wed, 25 Apr 2018 07:41:08 UTC (79 KB)
[v2] Mon, 30 Apr 2018 06:53:19 UTC (80 KB)
[v3] Tue, 5 Mar 2019 08:59:28 UTC (349 KB)
[v4] Thu, 11 Jul 2019 11:42:36 UTC (349 KB)
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