Analysis of the Emission Characteristics of Field Cathodes Using Regression Models

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Analysis of the Emission Characteristics of Field Cathodes Using Regression Models. / Egorov, N. V.; Antonov, A. Yu ; Varayun’, M. I.

In: Journal of Surface Investigation, Vol. 12, No. 5, 09.2018, p. 1005-1012.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{dd1d48bbb0894a9ba337f7b60eaf5040,

title = "Analysis of the Emission Characteristics of Field Cathodes Using Regression Models",

abstract = "The paper considers an approach to the construction and study of the emission (volt-ampere) characteristics of a system with a field electron cathode by regression analysis methods. A three-parameter model of the field electron emission signal is proposed. Estimates of the parameters of the current dependence on voltage are obtained in the framework of mathematical modeling. Estimation is carried out using a quadratic functional for linear and nonlinear models. Model selection should be determined by the analysis of so-called “regression residuals”, which are influenced by measurement errors. The validity of the application of both the linear and weighted nonlinear least-squares methods is shown as a result of mathematical modeling.",

keywords = "field electron emission, least-squares method, regression model, volt-ampere characteristic",

author = "Egorov, {N. V.} and Antonov, {A. Yu} and Varayun{\textquoteright}, {M. I.}",

year = "2018",

month = sep,

doi = "10.1134/S1027451018050245",

language = "Английский",

volume = "12",

pages = "1005--1012",

journal = "ПОВЕРХНОСТЬ. РЕНТГЕНОВСКИЕ, СИНХРОТРОННЫЕ И НЕЙТРОННЫЕ ИССЛЕДОВАНИЯ",

issn = "1027-4510",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "5",

}

RIS

TY - JOUR

T1 - Analysis of the Emission Characteristics of Field Cathodes Using Regression Models

AU - Egorov, N. V.

AU - Antonov, A. Yu

AU - Varayun’, M. I.

PY - 2018/9

Y1 - 2018/9

N2 - The paper considers an approach to the construction and study of the emission (volt-ampere) characteristics of a system with a field electron cathode by regression analysis methods. A three-parameter model of the field electron emission signal is proposed. Estimates of the parameters of the current dependence on voltage are obtained in the framework of mathematical modeling. Estimation is carried out using a quadratic functional for linear and nonlinear models. Model selection should be determined by the analysis of so-called “regression residuals”, which are influenced by measurement errors. The validity of the application of both the linear and weighted nonlinear least-squares methods is shown as a result of mathematical modeling.

AB - The paper considers an approach to the construction and study of the emission (volt-ampere) characteristics of a system with a field electron cathode by regression analysis methods. A three-parameter model of the field electron emission signal is proposed. Estimates of the parameters of the current dependence on voltage are obtained in the framework of mathematical modeling. Estimation is carried out using a quadratic functional for linear and nonlinear models. Model selection should be determined by the analysis of so-called “regression residuals”, which are influenced by measurement errors. The validity of the application of both the linear and weighted nonlinear least-squares methods is shown as a result of mathematical modeling.

KW - field electron emission

KW - least-squares method

KW - regression model

KW - volt-ampere characteristic

UR - http://www.scopus.com/inward/record.url?scp=85054684522&partnerID=8YFLogxK

U2 - 10.1134/S1027451018050245

DO - 10.1134/S1027451018050245

M3 - статья

AN - SCOPUS:85054684522

VL - 12

SP - 1005

EP - 1012

JO - ПОВЕРХНОСТЬ. РЕНТГЕНОВСКИЕ, СИНХРОТРОННЫЕ И НЕЙТРОННЫЕ ИССЛЕДОВАНИЯ

JF - ПОВЕРХНОСТЬ. РЕНТГЕНОВСКИЕ, СИНХРОТРОННЫЕ И НЕЙТРОННЫЕ ИССЛЕДОВАНИЯ

SN - 1027-4510

IS - 5

ER -

ID: 36108772