Basic Formulas of the Risk Theory When Summating Lognormal Distribution Laws

Number of journal: №1-2-2018
Autors:

Stolyarov V.V. 
Shchegoleva N.V.
Kochetkov A.V.
Zadvornov V.Yu.

DOI: https://doi.org/10.31659/0585-430X-2018-756-1-2-73-80
УДК: 625.7/.8

AbstractAbout the AuthorReferences
International agreements of the Russian Federation provide for a risk assessment as a service rendered according to the enforcement of the Federal Law “About Accreditation in National Accreditation System”. Of particular relevance is the public discussion of a draft national standard GOST R “Public Roadways. The risk assessment guidance during the life cycle”, developed by the State Company “Russian Highways” with participation of specialists of the Yuri Gagarin State Technical University of Saratov in 2017. It can be useful as a guide for the designers, assessing risks throughout the life cycle of the road. Also, the material may be useful when implementing the Federal Target Program “Improving Road Safety in 2013–2020”. Untransformed and transformed lognormal distributions described by differential and integral laws both can be opened using the Laplace’s function. By transforming the lognormal law can describe almost any empirical probability distribution, and then, using the tabulated Laplace’s function, deduce and use formulas of the risk theory to compose asymmetric distributions. This approach is justified because many asymmetric and changing the shape distributions can be integrated only by numerical or iterative methods.
V.V. STOLYAROV1, Doctor of Sciences (Engineering)
N.V. SHCHEGOLEVA1, Candidate of Sciences (Engineering), (This email address is being protected from spambots. You need JavaScript enabled to view it.)
A.V. KOCHETKOV2, Doctor of Sciences (Engineering), Professor
V.Yu. ZADVORNOV2, Engineer 

1 Yuri Gagarin State Technical University of Saratov (77, Politekhnicheskaya Street, 410054, Saratov, Russian Federation) 
2 Perm National Research Polytechnic University (29, Komsomolsky Avenue, 614990, Perm, Russian Federation)

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For citation: Stolyarov V.V., Shchegoleva N.V., Kochetkov A.V., Zadvornov V.Yu. Basic formulas of the risk theory when summating lognormal distribution laws. Stroitel’nye Materialy [Construction Materials]. 2018. No. 1–2, pp. 73–80. DOI: https://doi.org/10.31659/0585-430X-2018-756-1-2-73-80 (In Russian).


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