Abstract
Two approaches to the analysis of experimental data are discussed. An algorithm is given for one method of the nonstatistical approach. The algorithm is demonstrated for a specific example. Center-of-uncertainty and least-squares estimates of the parameters in a physicochemical relation are compared. Applications of the center-of-uncertainty method, including for two problems of modeling in materials technology, are indicated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
A. A. Borovkov, Mathematical Statistics [in Russian], Nauka, Moscow (1984).
V. M. Belov, V. A. Sukhanov, and F. G. Unger, Preprint No. 46, Tomsk Scientific Center of the Siberian Branch of the Academy of Sciences of the USSR, Tomsk (1990).
L. V. Kantorovich, Sib. Mat. Zh.,3, No. 5, 701–709 (1962).
S. I. Spivak, in: Mathematical Problems in Chemistry [in Russian], Computing Center of the Siberian Branch of the Academy of Sciences of the USSR, Novosibirsk (1975), pp. 35–42.
V. A. Titov and G. A. Kokovin, ibid., pp. 25–34.
S. I. Spivak, in: Mathematical Problems of Chemical Thermodynamics [in Russian], Nauka, Novosibirsk (1980), pp. 63–72.
G. A. Kokovin, V. A. Titov, A. A. Titov, and S. I. Spivak, in: Mathematical Problems in Chemical Thermodynamics [in Russian], Nauka, Novosibirsk (1980), pp. 50–58.
Yu. N. Kuznetsov, V. I. Kuzubov, and A. B. Voloshchenko, Mathematical Programming [in Russian], Vysshaya Shkola, Moscow (1980).
M. G. Slin'ko, S. I. Spivak, and V. I. Timoshenko, Kinet. Katal.,13, No. 6, 1570–1578 (1972).
S. I. Spivak, V. I. Timoshenko, and M. G. Slin'ko, Dokl. Akad. Nauk SSSR,192, No. 3, 580–582 (1970).
É. S. Shcherbakova, Zh. Fiz. Khim.,50, No. 8, 1971–1976 (1976).
E. S. Shcherbakova, in: Mathematics in Chemical Thermodyanmics [in Russian], Nauka, Novosibirsk (1980), pp. 113–119.
V. M. Belov, V. A. Sukhanov, and F. G. Unger, Preprint No. 59, Tomsk Scientific Center of the Siberian Branch of the Academy of Sciences of the USSR, Tomsk (1989).
V. A. Sukhanov, V. M. Belov, V. V. Guzeev, and V. E. Panin, in: Abstracts of Reports at the Regional Scientific-Applications Conference on Nonstationary Electrochemical Processes, Barnaul (1989), p. 162.
V. M. Belov and V. A. Sukhanov, in: Abstracts of Reports at the 3rd Conference of Science-Education Center at the Patrice Lumumba University Dedicated to the Friendship Among Peoples, Moscow (1990), Part 1, p. 110.
V. M. Belov and V. A. Sukhanov, ibid., p. 111.
V. M. Belov, V. A. Sukhanov, and F. G. Unger, Preprint No. 16, Tomsk Scientific Center of the Siberian Branch of the Academy of Sciences of the USSR, Tomsk (1990).
V. P. Spiridonov and A. A. Lopatkin, Mathematical Analysis of Physicochemical Data [in Russian], Izd-vo Mosk. Gos. Univ., Moscow (1970).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 36–43, August, 1991.
Rights and permissions
About this article
Cite this article
Belov, V.M., Sukhanov, V.A., Guzeev, V.V. et al. Estimation of parameters of linear physicochemical relations by the rectangle of the center-of-uncertainty method. Soviet Physics Journal 34, 678–684 (1991). https://doi.org/10.1007/BF01103494
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01103494