International Scientific and Practical Conference

"Electronics and Information Technologies"

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Issue 10

Issue 10, Pages: A-137-A-140
DOI: https://doi.org/10.30970/elit2018.A39
Analysis of Theoretical Models for Nonlinear Fitting of Experimental Data: Dielectric Permittivity of Pb4.95Ge3O11 Crystals
Yu. Klymovych, A. Kashuba, O. Kushnir
We implement nonlinear fitting and select the best theoretical model for description of experimental data, basing on the programming language Java. This is achieved using the Levenberg–Marquardt algorithm and the bootstrapping for determining confidence intervals for the fitting parameters. The main technical procedures are illustrated on the temperature dependence of dielectric permittivity of non-stoichiometric LG crystals in their paraelectric phase. Our results confirm that the model incorporating a temperature-independent dielectric background and a normal spatial distribution of Curie points assumed for the case of diffused phase transitions can be used as a statistically significant hypothesis.
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© Ivan Franko National University of Lviv, 2018

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