Оценки ошибок в тексте по результатам нескольких независимых экспертиз

Алексей [Aleksey] Николаевич [N.] Архангельский [Arkhangelsky]; Генрих [Genrikh] Михайлович [M.] Пиголкин [Pigolkin]

doi:10.24160/1993-6982-2019-3-130-133

Алексей [Aleksey] Николаевич [N.] Архангельский [Arkhangelsky]
Генрих [Genrikh] Михайлович [M.] Пиголкин [Pigolkin]

DOI: https://doi.org/10.24160/1993-6982-2019-3-130-133

Keywords: independent tests, Bernoulli tests, Chebyshev inequality, constituents, maximum likelihood functions and estimates, subset- based estimates, interval estimates

Abstract

A system for estimating the quality of a working result (a text, a product, etc.) of any complexity and for any purpose is constructed. The approach to solving a problem of such kind consists in the following. The same information source, which completely describes the estimated object is replicated in some or other way in the number of times equal to the number of available subjects (experts), each of which is capable to perform the necessary examination independently of other experts. The examination results are processed, and deficiencies (errors) revealed by each expert are established. In this case, the actual signs of the revealed errors must be defined so that it would be possible to indicate both the number of errors revealed by each expert and the number of errors found within each subset from the given set of experts. Thus, all errors for all experts are regarded as the result of a multiple examination.

In this study, certain basic estimates of the qualities of the accomplished examinations and text (product) are made (brought to final formulas) based on applying the mathematical model and using the maximum likelihood principle, and assessments connected with Chebyshev inequality. In addition, the range of possible investigations based on multiple examination data is briefly outlined.

Information about authors

Алексей [Aleksey] Николаевич [N.] Архангельский [Arkhangelsky]

Ph.D. (Phys.-Math.), Assistant Professor of Higher Mathematics Dept., NRU MPEI, e-mail: ArkhangelskyAN@mpei.ru

Генрих [Genrikh] Михайлович [M.] Пиголкин [Pigolkin]

Ph.D. (Phys.-Math.), Assistant Professor of Higher Mathematics Dept., NRU MPEI

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Для цитирования: Архангельский А.Н., Пиголкин Г.М. Оценки ошибок в тексте по результатам нескольких независимых экспертиз // Вестник МЭИ. 2019. № 3. С. 130—133. DOI: 10.24160/1993-6982-2019-3-130-133.
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For citation: Arkhangelsky A.N., Pigolkin G.M. Assessments of Errors in a Text from the Results of Several Independent Examinations. Bulletin of MPEI. 2019;3:130—133. (in Russian). DOI: 10.24160/1993-6982-2019-3-130-133.