Wrapped distributions and measurement errors
type: Item
instance of: scholarly article
title: Wrapped distributions and measurement errors
zbMATH Open document ID: 0547.62011
DOI: 10.1007/BF01915216
published in: Metrika
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/175970
review text: Let X be an arbitrary random variable and \(\alpha >0\). For \(x\in R\) one defines \(n_{\alpha}(x):=n\in Z\) iff \(x\in (n\alpha -\alpha /2\), \(n\alpha +\alpha /2)\). The distribution of the deviation \(U_{\alpha}:=n_{\alpha}(X)\alpha -X\) is derived. General criteria for the unimodality of the distribution of \(U_{\alpha}\) are given. The correlation of the measurement errors X-E(X) and \(U_{\alpha}(X)\) is calculated and it occurs to be small. The case of the normal distribution is studied in detail.
Mathematics Subject Classification ID: 62E15
Mathematics Subject Classification ID: 62E10
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 3872466
zbMATH Keywords: wrapped distributions
zbMATH Keywords: directional data
zbMATH Keywords: unimodality
zbMATH Keywords: measurement errors
zbMATH Keywords: normal distribution
author: Wolfgang Stadje
reviewed by: Jarosław Bartoszewicz
MaRDI profile type: Publication
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OpenAlex ID: W2080111243
description: scientific article; zbMATH DE number 3872466