Analysis of Confidence Intervals for Regression Model Parameters, Based on the Fowler–Nordheim Law

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Analysis of Confidence Intervals for Regression Model Parameters, Based on the Fowler–Nordheim Law. / Egorov, N. V.; Antonov, A. Yu ; Varayun’, M. I.

в: Journal of Surface Investigation X-Ray, Synchrotron and Neutron Techniques, Том 14, № 4, 01.07.2020, стр. 730-737.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{bf363a02862c4a109b43ec05a0455164,

title = "Analysis of Confidence Intervals for Regression Model Parameters, Based on the Fowler–Nordheim Law",

abstract = "Abstract: We consider a two-parameter regression model based on the Fowler–Nordheim equation, which is classical for the field of field electron emission. The optimal parameter values are determined by the least-squares method. The characteristics of the confidence intervals are evaluated as part of a statistical experiment. We pay attention to the accuracy of estimates, the boundaries of individual confidence intervals, and joint confidence ellipses. Two types of experimental designs are used for the voltage values. The error in the current measurements is generated using a special noise model. During the computer experiment, the data are subjected to the Shapiro–Wilk test, which verifies the normality of their distribution, and the regression model is tested for significance. The percentage of samples that may not meet the specified criteria is revealed.",

keywords = "FIELD-EMISSION, confidence regions, current-voltage characteristic, field electron emission, least-squares method, regression model",

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

note = "Egorov, N.V., Antonov, A.Y. & Varayun{\textquoteright}, M.I. Analysis of Confidence Intervals for Regression Model Parameters, Based on the Fowler–Nordheim Law. J. Synch. Investig. 14, 730–737 (2020). https://proxy.library.spbu.ru:2060/10.1134/S1027451020040059",

year = "2020",

month = jul,

day = "1",

doi = "10.1134/S1027451020040059",

language = "English",

volume = "14",

pages = "730--737",

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

issn = "1027-4510",

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

number = "4",

}

RIS

TY - JOUR

T1 - Analysis of Confidence Intervals for Regression Model Parameters, Based on the Fowler–Nordheim Law

AU - Egorov, N. V.

AU - Antonov, A. Yu

AU - Varayun’, M. I.

N1 - Egorov, N.V., Antonov, A.Y. & Varayun’, M.I. Analysis of Confidence Intervals for Regression Model Parameters, Based on the Fowler–Nordheim Law. J. Synch. Investig. 14, 730–737 (2020). https://proxy.library.spbu.ru:2060/10.1134/S1027451020040059

PY - 2020/7/1

Y1 - 2020/7/1

N2 - Abstract: We consider a two-parameter regression model based on the Fowler–Nordheim equation, which is classical for the field of field electron emission. The optimal parameter values are determined by the least-squares method. The characteristics of the confidence intervals are evaluated as part of a statistical experiment. We pay attention to the accuracy of estimates, the boundaries of individual confidence intervals, and joint confidence ellipses. Two types of experimental designs are used for the voltage values. The error in the current measurements is generated using a special noise model. During the computer experiment, the data are subjected to the Shapiro–Wilk test, which verifies the normality of their distribution, and the regression model is tested for significance. The percentage of samples that may not meet the specified criteria is revealed.

AB - Abstract: We consider a two-parameter regression model based on the Fowler–Nordheim equation, which is classical for the field of field electron emission. The optimal parameter values are determined by the least-squares method. The characteristics of the confidence intervals are evaluated as part of a statistical experiment. We pay attention to the accuracy of estimates, the boundaries of individual confidence intervals, and joint confidence ellipses. Two types of experimental designs are used for the voltage values. The error in the current measurements is generated using a special noise model. During the computer experiment, the data are subjected to the Shapiro–Wilk test, which verifies the normality of their distribution, and the regression model is tested for significance. The percentage of samples that may not meet the specified criteria is revealed.

KW - FIELD-EMISSION

KW - confidence regions

KW - current-voltage characteristic

KW - field electron emission

KW - least-squares method

KW - regression model

UR - http://www.scopus.com/inward/record.url?scp=85089796989&partnerID=8YFLogxK

U2 - 10.1134/S1027451020040059

DO - 10.1134/S1027451020040059

M3 - Article

AN - SCOPUS:85089796989

VL - 14

SP - 730

EP - 737

JO - ПОВЕРХНОСТЬ. РЕНТГЕНОВСКИЕ, СИНХРОТРОННЫЕ И НЕЙТРОННЫЕ ИССЛЕДОВАНИЯ

JF - ПОВЕРХНОСТЬ. РЕНТГЕНОВСКИЕ, СИНХРОТРОННЫЕ И НЕЙТРОННЫЕ ИССЛЕДОВАНИЯ

SN - 1027-4510

IS - 4

ER -

ID: 61441388