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Nonlinear Regression of Power-Exponential Functions: Experiment Design for Curve Fitting
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics.
2017 (English)Independent thesis Advanced level (degree of Master (One Year)), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

This thesis explores how to best choose data when curve fitting using power exponential functions.

The power exponential functions used are μ(b; x)=(xe1-x)b and Φ(ρ; x)=((1-x)ex)ρ .

We use a number of designs such as the equidistant design, the Chebyshev design and the the

D-optimal design to compare which design gives the best fit. A few examples including the

logistic and the heidler function are looked at during the comparison. The measurement of the

errors were made based on the sum of least squares errors in the first part and the maximum

error in the second part. MATLAB was used in this comparison.

Place, publisher, year, edition, pages
2017. , p. 65
Keywords [en]
Curve fitting, Power exponential functions, Design, Chebyshev node, Equidistant design
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-35897OAI: oai:DiVA.org:mdh-35897DiVA, id: diva2:1114017
Subject / course
Mathematics/Applied Mathematics
Presentation
2017-06-01, U3-083, Mälardalen University, Box 883, 721 23 Västerås, Sweden, Vasteras, 10:15 (English)
Supervisors
Examiners
Available from: 2017-06-22 Created: 2017-06-22 Last updated: 2017-06-22Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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