skip to content
Generalized gaussian error calculus Preview this item
ClosePreview this item
Checking...

Generalized gaussian error calculus

Author: Michael Grabe
Publisher: Heidelberg ; New York : Springer, ©2010.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
For the first time in 200 years Generalized Gaussian Error Calculus addresses¡a rigorous, complete and self-consistent revision of the Gaussian error calculus. Since experimentalists realized that measurements in general are burdened by unknown systematic errors, the classical, widespread used evaluation procedures scrutinizing the consequences of random errors alone turned out to be obsolete. As a matter of course,  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Grabe, Michael.
Generalized gaussian error calculus.
Heidelberg ; New York : Springer, ©2010
(OCoLC)428029329
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michael Grabe
ISBN: 9783642033056 3642033059
OCLC Number: 663098010
Description: 1 online resource (xiii, 301 pages) : illustrations (chiefly color)
Contents: Basics of Metrology --
True Values and Traceability --
Models and Approaches --
Generalized Gaussian Error Calculus --
The New Uncertainties --
Treatment of Random Errors --
Treatment of Systematic Errors --
Error Propagation --
Means and Means of Means --
Functions of Erroneous Variables --
Method of Least Squares --
Essence of Metrology --
Dissemination of Units --
Multiples and Sub-multiples --
Founding Pillars --
Fitting of Straight Lines --
Preliminaries --
Straight Lines: Case (i) --
Straight Lines: Case (ii) --
Straight Lines: Case (iii) --
Fitting of Planes --
Preliminaries --
Planes: Case (i) --
Planes: Case (ii) --
Planes: Case (iii) --
Fitting of Parabolas --
Preliminaries --
Parabolas: Case (i) --
Parabolas: Case (ii) --
Parabolas: Case (iii) --
Non-Linear Fitting --
Series Truncation --
Transformation.
Responsibility: Michael Grabe.

Abstract:

This book addresses a rigorous, complete and self-consistent revision of the Gaussian error calculus. It integrates mathematics and its applications to physical measurements, and serves as a text for  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the reviews:"This book is aimed at the metrology community. ... The approach elaborated in this book assesses unknown systematic errors via intervals of estimated lengths. ... the author Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/663098010> # Generalized gaussian error calculus
    a schema:CreativeWork, schema:MediaObject, schema:Book ;
    library:oclcnum "663098010" ;
    library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/378342312#Place/heidelberg> ; # Heidelberg
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
    schema:about <http://id.worldcat.org/fast/915028> ; # Error analysis (Mathematics)
    schema:about <http://experiment.worldcat.org/entity/work/data/378342312#Topic/mathematics_general> ; # MATHEMATICS--General
    schema:about <http://experiment.worldcat.org/entity/work/data/378342312#Topic/physique> ; # Physique
    schema:about <http://dewey.info/class/511.43/e22/> ;
    schema:bookFormat schema:EBook ;
    schema:copyrightYear "2010" ;
    schema:creator <http://viaf.org/viaf/30032457> ; # Michael Grabe
    schema:datePublished "2010" ;
    schema:description "Basics of Metrology -- True Values and Traceability -- Models and Approaches -- Generalized Gaussian Error Calculus -- The New Uncertainties -- Treatment of Random Errors -- Treatment of Systematic Errors -- Error Propagation -- Means and Means of Means -- Functions of Erroneous Variables -- Method of Least Squares -- Essence of Metrology -- Dissemination of Units -- Multiples and Sub-multiples -- Founding Pillars -- Fitting of Straight Lines -- Preliminaries -- Straight Lines: Case (i) -- Straight Lines: Case (ii) -- Straight Lines: Case (iii) -- Fitting of Planes -- Preliminaries -- Planes: Case (i) -- Planes: Case (ii) -- Planes: Case (iii) -- Fitting of Parabolas -- Preliminaries -- Parabolas: Case (i) -- Parabolas: Case (ii) -- Parabolas: Case (iii) -- Non-Linear Fitting -- Series Truncation -- Transformation."@en ;
    schema:description "For the first time in 200 years Generalized Gaussian Error Calculus addresses¡a rigorous, complete and self-consistent revision of the Gaussian error calculus. Since experimentalists realized that measurements in general are burdened by unknown systematic errors, the classical, widespread used evaluation procedures scrutinizing the consequences of random errors alone turned out to be obsolete. As a matter of course, the error calculus to-be, treating random and unknown systematic errors side by side, should ensure the consistency and traceability of physical units, physical constants and physical quantities at large. The generalized Gaussian error calculus considers unknown systematic errors to spawn biased estimators. Beyond, random errors are asked to conform to the idea of what the author calls well-defined measuring conditions. The approach features the properties of a building kit: any overall uncertainty turns out to be the sum of a contribution due to random errors, to be taken from a confidence interval as put down by Student, and a contribution due to unknown systematic errors, as expressed by an appropriate worst case estimation."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/378342312> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/428029329> ;
    schema:name "Generalized gaussian error calculus"@en ;
    schema:productID "663098010" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/663098010#PublicationEvent/heidelberg_new_york_springer_2010> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/378342312#Agent/springer> ; # Springer
    schema:url <http://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9783642033056> ;
    schema:url <http://site.ebrary.com/id/10365155> ;
    schema:url <https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=325595> ;
    schema:url <https://0-link-springer-com.pugwash.lib.warwick.ac.uk/10.1007/978-3-642-03305-6> ;
    schema:url <http://www.library.yorku.ca/e/resolver/id/1986909> ;
    schema:url <http://books.scholarsportal.info/viewdoc.html?id=/ebooks/ebooks2/springer/2011-04-28/6/9783642033056> ;
    schema:url <https://link.springer.com/openurl?genre=book&isbn=978-3-642-03304-9> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=571331> ;
    schema:url <http://link.springer.com/10.1007/978-3-642-03305-6> ;
    schema:url <https://doi.org/10.1007/978-3-642-03305-6> ;
    schema:url <http://www.library.yorku.ca/e/resolver/id/1986908> ;
    schema:workExample <http://dx.doi.org/10.1007/978-3-642-03305-6> ;
    schema:workExample <http://worldcat.org/isbn/9783642033056> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/663098010> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
    schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/378342312#Topic/mathematics_general> # MATHEMATICS--General
    a schema:Intangible ;
    schema:name "MATHEMATICS--General"@en ;
    .

<http://id.worldcat.org/fast/915028> # Error analysis (Mathematics)
    a schema:Intangible ;
    schema:name "Error analysis (Mathematics)"@en ;
    .

<http://viaf.org/viaf/30032457> # Michael Grabe
    a schema:Person ;
    schema:familyName "Grabe" ;
    schema:givenName "Michael" ;
    schema:name "Michael Grabe" ;
    .

<http://worldcat.org/isbn/9783642033056>
    a schema:ProductModel ;
    schema:isbn "3642033059" ;
    schema:isbn "9783642033056" ;
    .

<http://www.library.yorku.ca/e/resolver/id/1986909>
    rdfs:comment "An electronic book accessible through the World Wide Web; click for information" ;
    .

<http://www.worldcat.org/oclc/428029329>
    a schema:CreativeWork ;
    rdfs:label "Generalized gaussian error calculus." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/663098010> ; # Generalized gaussian error calculus
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.