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Application of Kaniadakis κ-Statistics to Load and Impact Distributions: book chapter. / Bushinskaya, A.; Timashev, S.
Proceedings of the 6th International Conference on Construction, Architecture and Technosphere Safety: book. ed. / Andrey A. Radionov; Dmitrii V. Ulrikh; Svetlana S. Timofeeva; Vladimir N. Alekhin; Vadim R. Gasiyarov. Springer Cham, 2023. p. 489-499 (Lecture Notes in Civil Engineering; Vol. 308).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Bushinskaya, A & Timashev, S 2023, Application of Kaniadakis κ-Statistics to Load and Impact Distributions: book chapter. in AA Radionov, DV Ulrikh, SS Timofeeva, VN Alekhin & VR Gasiyarov (eds), Proceedings of the 6th International Conference on Construction, Architecture and Technosphere Safety: book. Lecture Notes in Civil Engineering, vol. 308, Springer Cham, pp. 489-499. https://doi.org/10.1007/978-3-031-21120-1_47

APA

Bushinskaya, A., & Timashev, S. (2023). Application of Kaniadakis κ-Statistics to Load and Impact Distributions: book chapter. In A. A. Radionov, D. V. Ulrikh, S. S. Timofeeva, V. N. Alekhin, & V. R. Gasiyarov (Eds.), Proceedings of the 6th International Conference on Construction, Architecture and Technosphere Safety: book (pp. 489-499). (Lecture Notes in Civil Engineering; Vol. 308). Springer Cham. https://doi.org/10.1007/978-3-031-21120-1_47

Vancouver

Bushinskaya A, Timashev S. Application of Kaniadakis κ-Statistics to Load and Impact Distributions: book chapter. In Radionov AA, Ulrikh DV, Timofeeva SS, Alekhin VN, Gasiyarov VR, editors, Proceedings of the 6th International Conference on Construction, Architecture and Technosphere Safety: book. Springer Cham. 2023. p. 489-499. (Lecture Notes in Civil Engineering). doi: 10.1007/978-3-031-21120-1_47

Author

Bushinskaya, A. ; Timashev, S. / Application of Kaniadakis κ-Statistics to Load and Impact Distributions : book chapter. Proceedings of the 6th International Conference on Construction, Architecture and Technosphere Safety: book. editor / Andrey A. Radionov ; Dmitrii V. Ulrikh ; Svetlana S. Timofeeva ; Vladimir N. Alekhin ; Vadim R. Gasiyarov. Springer Cham, 2023. pp. 489-499 (Lecture Notes in Civil Engineering).

BibTeX

@inproceedings{402286ab701a47e4a082cbf2e26dea7b,
title = "Application of Kaniadakis κ-Statistics to Load and Impact Distributions: book chapter",
abstract = "The article considers application of the Kaniadakis{\textquoteright} κ-statistics (non-extensive statistical mechanics introduced by C. Tsallis in 1988, is presented in relation with the q-triplet estimation concerning experimental time series from climate, seismogenesis, and space plasmas systems), which appeared in 2001 in the framework of Einstein's special theory of relativity, to description of loads and impacts on buildings and structures. The κ-deformed Kaniadakis exponential function is used, with the help of which new classes of κ-deformed statistical versions of already known distributions are introduced. These distributions coincide with the original ones with the exception that their κ-deformed tail follows the Pareto power law. This allows converting the original distributions into heavy-tailed distributions that more closely match the experimental data of mixed systems and systems operating under conditions of increased uncertainty. This allows, within the framework of the already known distributions of loads and impacts, to model above-standard stressors and analyze the near impossible to predict “Black Swan” ultra rare type of events with humongous consequences.",
author = "A. Bushinskaya and S. Timashev",
year = "2023",
month = mar,
day = "3",
doi = "10.1007/978-3-031-21120-1_47",
language = "English",
isbn = "978-3-031-21120-1",
series = "Lecture Notes in Civil Engineering",
publisher = "Springer Cham",
pages = "489--499",
editor = "Radionov, {Andrey A.} and Ulrikh, {Dmitrii V.} and Timofeeva, {Svetlana S.} and Alekhin, {Vladimir N.} and Gasiyarov, {Vadim R.}",
booktitle = "Proceedings of the 6th International Conference on Construction, Architecture and Technosphere Safety",
address = "United Kingdom",

}

RIS

TY - GEN

T1 - Application of Kaniadakis κ-Statistics to Load and Impact Distributions

T2 - book chapter

AU - Bushinskaya, A.

AU - Timashev, S.

PY - 2023/3/3

Y1 - 2023/3/3

N2 - The article considers application of the Kaniadakis’ κ-statistics (non-extensive statistical mechanics introduced by C. Tsallis in 1988, is presented in relation with the q-triplet estimation concerning experimental time series from climate, seismogenesis, and space plasmas systems), which appeared in 2001 in the framework of Einstein's special theory of relativity, to description of loads and impacts on buildings and structures. The κ-deformed Kaniadakis exponential function is used, with the help of which new classes of κ-deformed statistical versions of already known distributions are introduced. These distributions coincide with the original ones with the exception that their κ-deformed tail follows the Pareto power law. This allows converting the original distributions into heavy-tailed distributions that more closely match the experimental data of mixed systems and systems operating under conditions of increased uncertainty. This allows, within the framework of the already known distributions of loads and impacts, to model above-standard stressors and analyze the near impossible to predict “Black Swan” ultra rare type of events with humongous consequences.

AB - The article considers application of the Kaniadakis’ κ-statistics (non-extensive statistical mechanics introduced by C. Tsallis in 1988, is presented in relation with the q-triplet estimation concerning experimental time series from climate, seismogenesis, and space plasmas systems), which appeared in 2001 in the framework of Einstein's special theory of relativity, to description of loads and impacts on buildings and structures. The κ-deformed Kaniadakis exponential function is used, with the help of which new classes of κ-deformed statistical versions of already known distributions are introduced. These distributions coincide with the original ones with the exception that their κ-deformed tail follows the Pareto power law. This allows converting the original distributions into heavy-tailed distributions that more closely match the experimental data of mixed systems and systems operating under conditions of increased uncertainty. This allows, within the framework of the already known distributions of loads and impacts, to model above-standard stressors and analyze the near impossible to predict “Black Swan” ultra rare type of events with humongous consequences.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85151064892

U2 - 10.1007/978-3-031-21120-1_47

DO - 10.1007/978-3-031-21120-1_47

M3 - Conference contribution

SN - 978-3-031-21120-1

T3 - Lecture Notes in Civil Engineering

SP - 489

EP - 499

BT - Proceedings of the 6th International Conference on Construction, Architecture and Technosphere Safety

A2 - Radionov, Andrey A.

A2 - Ulrikh, Dmitrii V.

A2 - Timofeeva, Svetlana S.

A2 - Alekhin, Vladimir N.

A2 - Gasiyarov, Vadim R.

PB - Springer Cham

ER -

ID: 37095661