On fitting empirical data under interval error

Reliable Computing

Volumn 11, Issue 5, 2005, Pages 433-442

  Zhilin, Sergei I ^a  

^a ALTAI STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ERROR ANALYSIS; FUNCTIONS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PROBLEM SOLVING; STATISTICAL METHODS;

FITTING EMPIRICAL DATA; INTERVAL ERRORS; INTERVAL-BOUNDED ERRORS; MODELING FUNCTIONS;

DATA REDUCTION;

EID: 23844492776     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11155-005-0050-3     Document Type: Conference Paper

References (11)

1. Belov, V. M., Sukhanov, V. A., Guzeev, V. V., and Unger, F. G.: Estimation of Linear Physicochemical Dependencies by Rectangle of Uncertainty Center Method, Izvestia Vuzov. Fizika 8 (1991), pp. 35-45 (in Russian).
2. Borodyuk, V. P.: Comment I to the Article by Voshchinin A. P., Bochkov A. F., Sotirov G. R. "A Method for Data Analysis in the Presence of Interval Non-Statistical Error," Zavodskaya Laboratoriya 7 (56) (1990), pp. 81-83 (in Russian).
3. Eremin, I.I.: Contradictory Models of Optimal Planning, Nauka, Moscow, 1988 (in Russian).
4. Kantorovich, L. V.: On Some New Approaches to Numerical Methods and Observation Processing, Sib. Math. Zhurnal S (3) (1962), pp. 701-709 (in Russian).
5. Milanese, M. and Belferte, G.: Estimation Theory and Uncertainty Intervals Evaluation in Presence of Unknown but Bounded Errors: Linear Families of Models and Estimators, IEEE Transactions on Automatic Control 2 (27) (1982), pp. 408-414.
6. Novitskii, P. V. and Zograph, I. A.: Estimating the Measurement Errors, Energoatomizdat, Leningrad, 1985 (in Russian).
7. Orlov, A. I.: How Often Is the Observation Normal? Zavodskaya Laboratoriya 7 (57) (1991), pp. 64-66 (in Russian).
8. Oskorbin, N. M., Maksimov, A. V., and Zhilin, S. I.: Construction and Analysis of Empirical Dependencies by Uncertainty Center Method, Transactions of Altai State University 1 (1998), pp. 35-38 (in Russian).
9. Spivak, S. I.: Detailed Analysis of Application of Linear Programming Methods to Estimation of Parameters of Kinetic Models, in: Matematicheskie Problemy Khimii 2 (1975), VC SO AN SSSR, Novosibirsk, pp. 35-42 (in Russian).
10. Rodionova, O. Ye. and Pomerantsev, A. L.: Antioxidants Activity Prediction Using DSC Measurements and SIC Data Processing, in: Proceedings of Second Conference on Experimental Methods in Physics of Heterogeneous Condensed Media, Barnaul, 2001, pp. 239-246.
11. Voshchinin, A. P., Bochkov, A. F., and Sotirov G. R.: A Method for Data Analysis in the Presence of Interval Non-Statistical Error, Zavodskaya Laboratoriya 7 (56) (1990), pp. 76-81 (in Russian).