Анализ доверительных областей для параметров регрессионной модели на основе закона Фаулера—Нордгейма

Research output

Abstract

The two-parameter regression model based on the Fowler–Nordheim formula, which is classical for the field electron emission, is considered in the paper. Optimal values of parameters are determined by the least squares method. As part of the statistical experiment, characteristics of confidence regions are evaluated. The attention is paid to the accuracy of parameter estimates, boundaries of individual confidence intervals, joint confidence ellipses. For voltage values, two types of the experiment design are used. The errors in current measurements are generated using a noise model of a special type. During the computer experiment, the data is subjected to the Shapiro–Wilk test, which checks 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.
Original languageRussian
Pages (from-to)89-97
Number of pages9
JournalПОВЕРХНОСТЬ. РЕНТГЕНОВСКИЕ, СИНХРОТРОННЫЕ И НЕЙТРОННЫЕ ИССЛЕДОВАНИЯ
Issue number7
Publication statusPublished - 2020

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