Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In this paper, we introduce our newly created DEAR (an abbreviation of Differential Equation Associated Regression) theory, which merges differential equation theory, regression theory and random fuzzy variable theory into a new rigorous small sample based inferential theoretical foundation. We first explain the underlying idea of DEAR modelling, its classification, and then the M-estimation of DEAR model. Furthermore, we explore the applicability of DEAR theory in the analysis in system dynamics, for example, repairable system analysis, quality dynamics analysis, stock market analysis, and ecosystem analysis, etc.
Rocznik
Tom
Strony
149--158
Opis fizyczny
Bibliogr. 19 poz., tab., wykr.
Bibliografia
- [1] Carvalho, H. & Machado, V. C. (2006). Fuzzy set theory to establish resilient production systems, IIE Annual Conference, Maio 2006, Orlando, USA.
- [2] Deng, J. L. (1985). Grey Systems (Social Economical). Beijing, the Publishing House of Defense Industry (in Chinese).
- [3] Dubois, D. & Prade, H. (1980). Theory and Applications, Fuzzy Sets and Systems. Academic Press, New York.
- [4] Field, C. A. & Ronchetti, E. (1990). Small Sample Asymptotics. Institute of Mathematical Statistics, Lecture Notes-Monographs Series 13, USA.
- [5] Field, C. A. & Ronchetti, E. (1991). An Overview of Small Sample Asymptotics. In: W. Stahel, S. Weisberg (eds.), Directions in Robust Statistics and Diagnostics, Part I, Springer-Verlag, New York.
- [6] Guo, D., Guo, R., Midgley, G. F. & Rebelo, A. G. (2002). PDEMR Modelling of Protea Species in the Population Size of 1 to 10, in Cape Floristic Region from 1992 to 2002, South Africa. Journal of Geographical Information Sciences, Vol. 12, No. 2, pp 67-78.
- [7] Guo, D., Guo, R., Midgley, G. F. & Rebelo, A. G. (2008) PDEAR Model Prediction of Rare Protea Species under Climate Change Effects. Proc. of GISRUK 2008, Manchester Metropolitan University, UK, April 2-4.
- [8] Guo, R. (2006). Grey Envelop Quality Control Charts. Journal of Quality, Vol. 13, No. 4, 401-410.
- [9] Guo, R. (2007). Grey Differential Equation GM(1,1) Model in Reliability Engineering. Chapter 26, pp 387-413, Computational Intelligence in Reliability Engineering, Vol. 2. New Metaheuristics, Neural and Fuzzy Techniques in Reliability, Springer, Gregory Levitin (Editor).
- [10] Guo, R. (2007). Modeling Imperfectly Repaired System Data Via Grey Differential Equations with Unequal-Gapped Times. Reliability Engineering and Systems Safety, Vol. 92, Issue 3, 378-391.
- [11] Guo, R. (2007). An Univariate DEMR Modeling on Repair Effects. Reliability: Theory & Applications. Vol. 2, No. 3-4, 89-98. (Electronic Journal of International Group on Reliability – Gnedenko E-Forum).
- [12] Guo, R., Guo, D. & Thiart, C. (2006). The Coupling of regression Modelling and Differential Equation Model in GM(1,1) Modelling and Extended GM(1,1) Models. Journal of Grey System, 9(2), 143-154.
- [13] Guo, R. Guo, D., Midgley, G. F. & Rebelo, A. G. (2008). PDEMR Modelling of Protea Rare Species Spatial Patterns. Journal of Uncertain Systems, Vol. 2, No. 1, 31-53.
- [14] Guo, R. & Dunne, T. (2006). Grey Predictive Control Charts. Communications in Statistics – Theory and Methods, Vol. 35, No. 10, 1857-1868.
- [15] Liu, B. D. (2004). Uncertainty Theory: An Introduction to Its Axiomatic Foundations 2004. Berlin: Springer-Verlag Heidelberg.
- [16] Liu, B. D. (2007). Uncertainty Theory: An Introduction to Its Axiomatic Foundations. 2nd Edition 2007; Berlin: Springer-Verlag Heidelberg.
- [17] Midgley, G. F, Hannah, L., Millar, D., Rutherford, M. C. & Powrie, L. W. (2002). Assessing the vulnerability of species richness to anthropogenic climate change in a biodiversity hotspot, Global Ecology & Biogeography 11, 445-451.
- [18] L. A. Zadeh. (1965). Fuzzy Sets. Information and Control , Vol. 8: 338-353.
- [19] L. A. Zadeh. (1978). Fuzzy sets as basis for a theory of possibility. Fuzzy Sets and Systems, Vol. 1: 3-28.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-55d6013d-d6bc-42f8-a69f-9da03a3464ad