Article
Sheppard's correction for variances and the "quantization noise model"
IEEE Transactions on Instrumentation and Measurement
Document Type
Article
Disciplines
Publication Version
Accepted Manuscript
Publication Date
1-1-2005
DOI
10.1109/TIM.2005.853348
Abstract
In this paper, we examine the relevance of Sheppard's correction for variances and (both the original and a valid weak form of) the so-called "quantization noise model" to understanding the effects of integer rounding on continuous random variables. We further consider whether there is any real relationship between the two. We observe that the strong form of the model is not really relevant to describing rounding effects. We demonstrate using simple cases the substantial limitations of the Sheppard correction, and use simple versions of a weak form of the model to establish that there is no real connection between the correction and the model.
Rights
© 2005 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Copyright Owner
IEEE
Copyright Date
2005
Language
en
File Format
application/pdf
Citation Information
Stephen B. Vardeman. "Sheppard's correction for variances and the "quantization noise model"" IEEE Transactions on Instrumentation and Measurement Vol. 54 Iss. 5 (2005) p. 2117 - 2119 Available at: http://works.bepress.com/stephen_vardeman/24/
This is a manuscript of an article published as Sheppard's correction for variances and the "quantization noise model." IEEE Transactions on Instrumentation and Measurement, 2005, Vol. 54, No. 5 , pp. 2117-2119. Posted with permission.