Author: D. Monhor 1
View More View Less
  • 1 University of West Hungary Faculty of Geoinformatics H-8000 Székesfehérvár Pirosalma u. 1-3 Hungary
Restricted access

In the community of geodesy it is well-known that the famous normal distribution is originated from the mathematical analysis of observational errors in astronomical and geodetic measurements.However, as far as we know this aspect of scientific history which is of considerable interest for the community of earth sciences has rarely been considered in the literature of earth sciences.In geodesy and related areas the bivariate normal distribution is one of the most frequently used probability distributions. Nowadays, in a wide range of problems arising from diverse areas of geodesy, geophysics, photogrammetry and astronomical geodesy we encounter numerous applications of the univariate and multivariate normal distributions.In the present paper the historical role of earth sciences in the origins of the bivariate normal distribution is briefly discussed. Some new evidences of Bravais’ contribution to the origin of the correlated bivariate normal distribution are considered. The new evidences and refinements established in this paper convey such a general methodological and intellectual content that is useful for the community of geodesy, geophysics, and furthermore in earth sciences.

  • Adrain R 1808: In: The Analyst or Mathematical Museum. W P Farrand and Co., Philadelphia, 1, 93–109.

    Adrain R. , '', in The Analyst or Mathematical Museum , (1808 ) -.

  • Agterberg F P 1974: Geomathematics: Mathematical Background and Geoscience Applications, Elsevier Scientific Publishing, Amsterdam

    Agterberg F. P. , '', in Geomathematics: Mathematical Background and Geoscience Applications , (1974 ) -.

  • Anderson T W 1958: An Introduction to Multivariate Statistical Analysis. John & Wiley, New York

    Anderson T. W. , '', in An Introduction to Multivariate Statistical Analysis , (1958 ) -.

  • Anderson D N, Taylor S R 2002: Bull. Seism. Soc. Am., 92, 2391–2399.

    Taylor S. R. , '' (2002 ) 92 Bull. Seism. Soc. Am. : 2391 -2399.

  • Beaumont M 1866: In: Mémoires de l’Académie des Sciences de l’Institut Impérial de France, 35, 23–49.

    Beaumont M. , '' (1866 ) 35 Mémoires de l’Académie des Sciences de l’Institut Impérial de France : 23 -49.

  • Bravais A 1846: In: Mémoires presentés à l’Académie Royale des Sciences, Paris, 9, 255–332 (English translation, 1958, White Sands Proving Ground, New Mexico).

    Bravais A. , '' (1846 ) 9 Mémoires presentés à l’Académie Royale des Sciences : 255 -332.

  • Bravais A 1850: J. Ecole Polytech., 19, 1–128.

    Bravais A. , '' (1850 ) 19 J. Ecole Polytech. : 1 -128.

  • Burkhardt F, Browne J, Porter D M, Richmond M eds 1994: The correspondence of Charles Darwin. Volume 9, 1861, Cambridge University Press

  • Carosio A 1989: Parameterschätzung I. Institut für Geodäsie und Photogrammetrie, ETH Zürich

  • Cetin H, Warner T A, Levandowsi D W 1993: Photogrammetric Engineering, Remote Sensing, 59, 1755–1764.

    Levandowsi D. W. , '' (1993 ) 59 Photogrammetric Engineering, Remote Sensing : 1755 -1764.

  • Detrekői Á 1991: Adjustment Calculations (in Hungarian). Tankönyvkiadó, Budapest

    Detrekői , '', in Adjustment Calculations (in Hungarian) , (1991 ) -.

  • Dodson C T J, Oba Y, Sampson W W 2001: J. Statistical Physics, 102, 345–353.

    Sampson W. W. , '' (2001 ) 102 J. Statistical Physics : 345 -353.

  • Eisenhart C 1968: In: Intern. Enc. of the Soc. Sciences. D L Sills ed., 74–81.

  • Foody G M, Campbell N A, Trodd N M, Wood T F 1992: Photogrammetric Engineering, Remote Sensing, 58, 1335–1341.

    Wood T. F. , '' (1992 ) 58 Photogrammetric Engineering, Remote Sensing : 1335 -1341.

  • Galton F 1888: In: Proceedings of the Royal Society of London, 45, 134–145.

    Galton F. , '' (1888 ) 45 Proceedings of the Royal Society of London : 134 -145.

  • Gauss C F 1823: Theoria Combinationis Observationum Erroribus minimis Obnoxiae, Pars Prior, Pars Posterior, Supplementum, Gottingen, or its English translation 1995

  • Gauss K F 1995: Theory of the Combination of Observations least Subject to Errors. Part One, Part Two, Supplement, Translated by G W Stewart, Philadelphia

  • Grattan-Guinness I 1970: Operational Research Quartely, 21, 361–364.

    Grattan-Guinness I. , '' (1970 ) 21 Operational Research Quartely : 361 -364.

  • Helmert F R 1868: Zeitschrift für Mathematik und Physik, 13, No. 2, 73–120.

    Helmert F. R. , '' (1868 ) 13 Zeitschrift für Mathematik und Physik : 73 -120.

  • Kittel C 2005: Introduction to Solid State Physics. 8th Ed., University of California, Berkeley

    Kittel C. , '', in Introduction to Solid State Physics , (2005 ) -.

  • Laplace P S 1810: In: Mémoires de l’Institut Impérial de France, 279–347.

  • Mois A I, Müller U, Wondratschek H 2006: Historical Introduction: International Tables for Crystallography. Springer

  • Monhor D 2009: 23th International Congress of History of Science and Technology. Budapest, Hungary (unpublished presentation)

  • Monhor D, Takemoto S 2005: J. Geod. Soc. Japan, 51, 175–185.

    Takemoto S. , '' (2005 ) 51 J. Geod. Soc. Japan : 175 -185.

  • Pearson K 1896: Philosophical Transactions of the Royal Society of London, Series A, 187, 253–318.

    Pearson K. , '' (1896 ) 187 Philosophical Transactions of the Royal Society of London, Series A : 253 -318.

  • Pearson K 1901: Philosophical Transactions of the Royal Society of London, Series A, 195, 1–47.

    Pearson K. , '' (1901 ) 195 Philosophical Transactions of the Royal Society of London, Series A : 1 -47.

  • Pearson K 1920: Biometrika, 13, 25–45.

    Pearson K. , '' (1920 ) 13 Biometrika : 25 -45.

  • Pearson E S 1967: Biometrika, 54, 341–455.

    Pearson E. S. , '' (1967 ) 54 Biometrika : 341 -455.

  • Plana G A A 1813: In: Mémoire de L’Académie de Impériale de Turin, 20, 355–408.

    Plana G. A. A. , '' (1813 ) 20 Mémoire de L’Académie de Impériale de Turin : 355 -408.

  • Stigler S M 1986: The History of Statistics: The Measurement of Uncertainty before 1900. Harvard University Press, London

    Stigler S. M. , '', in The History of Statistics: The Measurement of Uncertainty before 1900 , (1986 ) -.

AGG Editorial Office
Address: P.O. Box 5, H-9401 Sopron, Hungary
Phone: (36 99) 508 340
Fax: (36 99) 508 355
E-mail: actagg@ggki.hu

  • Impact Factor (2019): 0.909
  • Scimago Journal Rank (2019): 0.337
  • SJR Hirsch-Index (2019): 18
  • SJR Quartile Score (2019): Q3 Building and Construction
  • SJR Quartile Score (2019): Q3 Geology
  • SJR Quartile Score (2019): Q3 Geophysics
  • Impact Factor (2018): 0.942
  • Scimago Journal Rank (2018): 0.314
  • SJR Hirsch-Index (2018): 17
  • SJR Quartile Score (2018): Q3 Geology
  • SJR Quartile Score (2018): Q3 Geophysics

For subscription options, please visit the website of Springer Nature.

Acta Geodaetica et Geophysica
Language English
Size B5
Year of
Foundation
2013
Volumes
per Year
1
Issues
per Year
4
Founder Magyar Tudományos Akadémia
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó Springer
Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 2213-5812 (Print)
ISSN 2213-5820 (Online)

Monthly Content Usage

Abstract Views Full Text Views PDF Downloads
Jun 2021 2 0 0
Jul 2021 1 2 1
Aug 2021 4 0 0
Sep 2021 5 0 0
Oct 2021 1 0 0
Nov 2021 6 0 0
Dec 2021 0 0 0