Сибирский журнал науки и технологий
ISSN 2587-6066

Vestnik sibsau
Vestnik sibsau
Vestnik sibsau
Vestnik sibsau

UDK 629.735.064 Doi: 10.31772/2587-6066-2018-19-3-482-488
APPLICATION OF THE BOOTSTRAP METHOD FOR STATISTICAL CHARACTERISTICS ASSESSMENT OF AIRCRAFT COMPONENTS’ SMALL SAMPLES
D. S. Gerasimova*, A. V. Sayapin, A. A. Palukhin, A. V. Katsura
Reshetnev Siberian State University of Science and Technology 31, Krasnoyarsky Rabochy Av., Krasnoyarsk, 660037, Russian Federation *E-mail: Wolhidka@mail.ru
The estimation of adequate service life of aircraft instruments is a factor of great importance in aircraft operation process. Changing the instrument service interval affects both reliability (shorter intervals make it easier to locate malfunctions of components and assemblies as early as possible) and economic performance (inducing increase of operating costs). So, the increasing the service interval without potentially reducing reliability is an economically important task. To determine the optimal time to maintenance for aviation components and assemblies, it is necessary to determine the span of their service life with the highest degree of precision. The problem of calculating such estimates is complicated by the fact that the data on component failures are scattered and incomplete, which makes it difficult to assess their statistical characteristics accurately. The purpose of this article is to find an effective method of statistical characteristics assessment for small samples as the first stage of modeling of the aircraft components and assemblies reliability. It is induced by specific operational factors of aviation components exchange at small airlines operating Soviet-time aircraft. The article examines two methods of resampling, bootstrap and jackknife. There is also an assessment of mean time to failure expectation for fuel gauges, of the variance and root-meansquare deviation in the article. The bootstrap method is offered as applicable for statistical characteristics assessment of mean time to failure expectation for aircraft components and assemblies taken for analysis in small samples (pressure gauges were chosen as an example of such analysis). The assessments and calculations can be used by airlines to state the nonfailure service time of a variety of components and assemblies.
Keywords: reliability, statistics, bootstrap, aviation, aircraft components.
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Gerasimova Darya Sergeevna – postgraduate student, engineer, Reshetnev Siberian State University of Science and Technology. E-mail: wolhidka@mail.ru.

Sayapin Alexander Vladimirovich – Cand. Sc., Docent, Department of Applied Mathematics, Reshetnev Siberian State University of Science and Technology. E-mail: alstutor@gmail.com.

Palukhin Alexander Alexandrovich – Master’s degree student, engineer, Reshetnev Siberian State University of Science and Technology. E-mail: joke41294@yandex.ru.

Katsura Alexander Vladimirovich – Cand. Sc., professor, head of Department of Technical operation of aircraft electric systems and aircraft navigation systems, Reshetnev Siberian State University of Science and Technology. Е-mail: pnk-sibsau@mail.ru.


  APPLICATION OF THE BOOTSTRAP METHOD FOR STATISTICAL CHARACTERISTICS ASSESSMENT OF AIRCRAFT COMPONENTS’ SMALL SAMPLES