Forecasting the stage of development of scientific work on determining the hardness of construction materials in accordance with international standards by the least square method.

Authors

  • Abdujabborov Obidjon x

Keywords:

International standards, hardness, least squares method, mathematical modeling, forecasting.

Abstract

This article is devoted to forecasting the stage of development of scientific work on determining the hardness of construction materials in accordance with international standards using the least square method. The article focuses on the history, significance and mathematical models of the method of least squares. One of the important points of the article is that we can achieve possible indicators for the coming years based on statistical data.

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References

Charnes, A.; Frome, E. L.; Yu, P. L. (1976). "The Equivalence of Generalized Least Squares and Maximum Likelihood Estimates in the Exponential Family". Journal of the American Statistical Association. 71 (353): 169–171. doi:10.1080/01621459.1976.10481508.

Mansfield Merriman, "A List of Writings Relating to the Method of Least Squares"

Bretscher, Otto (1995). Linear Algebra With Applications (3rd ed.). Upper Saddle River, NJ: Prentice Hall.

Stigler, Stephen M. (1981). "Gauss and the Invention of Least Squares". Ann. Stat. 9 (3): 465–474. doi:10.1214/aos/1176345451.

Plackett, R.L. (1972). "The discovery of the method of least squares" (PDF). Biometrika. 59 (2): 239–251.

Stigler, Stephen M. (1986). The History of Statistics: The Measurement of Uncertainty Before 1900. Cambridge, MA: Belknap Press of Harvard University Press. ISBN 978-0-674-40340-6.

https://www.nist.gov/mml/materials-science-and-engineering-division/mechanical-performance-group/hardness-standard

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Published

2024-10-10

How to Cite

Abdujabborov Obidjon. (2024). Forecasting the stage of development of scientific work on determining the hardness of construction materials in accordance with international standards by the least square method. Journal of Applied Science and Social Science, 14(10), 30–36. Retrieved from https://www.internationaljournal.co.in/index.php/jasass/article/view/303

Issue

Vol. 14 No. 10 (2024): Journal of Applied Science and Social Science

Section

Articles

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