Pareto method: history, new opportunities, prospects

S.Ya. Grodzenskiy; Ya.S. Grodzenskiy

doi:10.18127/j20700970-202301-06

Pareto method: history, new opportunities, prospects

S.Ya. Grodzenskiy¹, Ya.S. Grodzenskiy²

research article UDC 30.607 Pages: 47-54 doi.org/10.18127/j20700970-202301-06

^1,2 MIREA – Russian University of Technology (Moscow, Russia)

Keywords: Electronics products probability distribution failure mixture of distributions

Abstract

An overview of the regularities associated with the Pareto principle – the "80/20 Law" is given. The recursiveness of the Pareto scheme is shown. The random process leading to the Pareto distribution and the relationship between the "80/20 law" and the normal distribution are considered. It is suggested that the Levi–Pareto distribution, generalizing the traditional Pareto distribution, will be used in the future as a quality tool.

Received: 03.02.2023
Approved after review: 14.02.2023
Accepted: 27.02.2023

How to cite

Гродзенский С.Я., Гродзенский Я.С. Метод Парето: история, новые возможности, перспективы // Нелинейный мир. 2023. Т. 21. №1. С. 47-54. DOI: https://doi.org/10.18127/j20700970-202301-06

References

Pareto V. Cours d'Economie Politique. V. 2. F. Rouge, Lausanne. 1897.
Lotka A. The frequency distribution of scientific productivity. Journal of Washington Academy of science. 1926. V. 16. P. 317-323.
Bradford S. Sources of Information on Specific Subjects. Engineering: An Illustrated Weekly Journal (London). 1934 (26 January). № 137. Р. 85-86.
Zipf G. Human behavior and the principle of least effort. 1949.
Koh R. Princip 80/20: Per. s angl. M.: Jeksmo. 2012. 448 s. (In Russian).
Grodzenskij S.Ja., Kalacheva E.A. Bol'shie dannye: istorija, perspektivy, potencial. Standarty i kachestvo. 2017. № 8. S. 64-67 (In Russian).
Juran J.M. The Quality Function. Juran`s Quality Control Handbook. 3d. ed. NY: McGraw-Hill. 1974. P. 2.16 – 2.19.
Grodzenskij S.Ja. Upravlenie kachestvom: uchebnik. Izd. 4-e. M.: Prospekt. 2023. 376 s. (In Russian).
Arnold B. Pareto Distributions. 2nd edn. CRC Press. Boca Raton. F]L. 2015.
Levinson W.A. The 3-D Pareto Chart. A better graph to improve visualization and error response. Quality Progress. 2016. May.
Nikitin A.P., Chernavskaja O.D., Chernavskij D.S. Raspredelenie Pareto v dinamicheskih sistemah, nahodjashhihsja v shumovom pole. Rossijskaja akademija nauk. Trudy Instituta obshhej fiziki im. A.M. Prohorova. 2009. T. 65. S. 107-123 (In Russian).
Shhegoleva S.A. Statistika Cipfa-Pareto-Mandel'brota i analiz Pareto. Vestnik Dal'nevostochnoj gosudarstvennoj akademii jekonomiki i upravlenija. 2002. № 3(23). S. 56-64 (In Russian).
Tanabe K. Pareto’s 80/20 rule and the Gaussian distribution. Physika A. 2018. 15 Nov. V. 510. Р. 635-640.
Koch R. The 80/20 Manager: The Secret to Working Less and Achieving more, Little, Brown and Company. New York. 2013.
Jie Ling, Longxiang Fang. Comparisons between largest and smallest order statistics from Pareto distributions. Journal of Mathematical Inequalities. 2019. V. 13. № 4. Р. 1039-1055.
Grodzenskij S.Ja., Grodzenskij Ja.S., Mareshhenkov P.V. Statistiko-fizicheskij analiz nadezhnosti izdelij radiojelektroniki na osnove smesi raspredelenij. Uspehi sovremennoj radiojelektroniki. 2021. T. 75. № 12. S. 42-62. DOI: https://doi.org/10.18127/j20700784-202112-05 (In Russian).
Grodzenskij S.Ja., Ovchinnikov S.A., Emanakov I.V. Metodika vyjavlenija poter' v proizvodstvennoj sisteme. Naukoemkie tehnologii. 2018. T. 19. № 1. S. 10-13 (In Russian).

[1] Pareto V. Cours d'Economie Politique. V. 2. F. Rouge, Lausanne. 1897.

[2] Lotka A. The frequency distribution of scientific productivity. Journal of Washington Academy of science. 1926. V. 16. P. 317-323.

[3] Bradford S. Sources of Information on Specific Subjects. Engineering: An Illustrated Weekly Journal (London). 1934 (26 January). № 137. Р. 85-86.

[4] Zipf G. Human behavior and the principle of least effort. 1949.

[5] Koh R. Princip 80/20: Per. s angl. M.: Jeksmo. 2012. 448 s. (In Russian).

[6] Grodzenskij S.Ja., Kalacheva E.A. Bol'shie dannye: istorija, perspektivy, potencial. Standarty i kachestvo. 2017. № 8. S. 64-67 (In Russian).

[7] Juran J.M. The Quality Function. Juran`s Quality Control Handbook. 3d. ed. NY: McGraw-Hill. 1974. P. 2.16 – 2.19.

[8] Grodzenskij S.Ja. Upravlenie kachestvom: uchebnik. Izd. 4-e. M.: Prospekt. 2023. 376 s. (In Russian).

[9] Arnold B. Pareto Distributions. 2nd edn. CRC Press. Boca Raton. F]L. 2015.

[10] Levinson W.A. The 3-D Pareto Chart. A better graph to improve visualization and error response. Quality Progress. 2016. May.

[11] Nikitin A.P., Chernavskaja O.D., Chernavskij D.S. Raspredelenie Pareto v dinamicheskih sistemah, nahodjashhihsja v shumovom pole. Rossijskaja akademija nauk. Trudy Instituta obshhej fiziki im. A.M. Prohorova. 2009. T. 65. S. 107-123 (In Russian).

[12] Shhegoleva S.A. Statistika Cipfa-Pareto-Mandel'brota i analiz Pareto. Vestnik Dal'nevostochnoj gosudarstvennoj akademii jekonomiki i upravlenija. 2002. № 3(23). S. 56-64 (In Russian).

[13] Tanabe K. Pareto’s 80/20 rule and the Gaussian distribution. Physika A. 2018. 15 Nov. V. 510. Р. 635-640.

[14] Koch R. The 80/20 Manager: The Secret to Working Less and Achieving more, Little, Brown and Company. New York. 2013.

[15] Jie Ling, Longxiang Fang. Comparisons between largest and smallest order statistics from Pareto distributions. Journal of Mathematical Inequalities. 2019. V. 13. № 4. Р. 1039-1055.

[16] Grodzenskij S.Ja., Grodzenskij Ja.S., Mareshhenkov P.V. Statistiko-fizicheskij analiz nadezhnosti izdelij radiojelektroniki na osnove smesi raspredelenij. Uspehi sovremennoj radiojelektroniki. 2021. T. 75. № 12. S. 42-62. DOI: https://doi.org/10.18127/j20700784-202112-05 (In Russian).

[17] Grodzenskij S.Ja., Ovchinnikov S.A., Emanakov I.V. Metodika vyjavlenija poter' v proizvodstvennoj sisteme. Naukoemkie tehnologii. 2018. T. 19. № 1. S. 10-13 (In Russian).

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