Forecasting Palladium Price Using GM(1,1)


1 Department of Applied Mathematics, Damghan University, Damghan, Iran.

2 Department of Applied Mathematics, Damghan University


Palladium is an element of PGM group that has significant physical properties. This leads to more attention to this metal. Due to vast applications of palladium in industry and its usage in jewelry, its price plays an important role in economic. Therefore, forecasting its price is crucial subject in economic and engineering design. This paper proposes the model GM(1,1) to predict the Palladium price. The method is applied in experimental data for two recent years. The results show that the method is robust and accurate.


1. B.D. Craig and D.S. Anderson, Atmospheric Environment, Handbook of corrosion data, ASM International, United State of America (1995).

2. C.A. Harper, Passive Electronic Component Handbook, McGraw-Hill, New York (1997).

3. C.R. Hammond, The Elements. Handbook of Chemistry and Physics (81st Ed.), CRC press, Boca Raton: Florida (2004).

4. D. Zogbi, Shifting Supply and Demand for Palladium in MLCCs, TTI, Inc, http : // Zogbi 20030203.html. 3 February (2003).

5. I. Taylor, K. Smith, United Nations Conference on Trade and Development, Taylor and Francis, London (2007).

6. J. Deng, Control problems of grey systems, Systems and Control Letters, 1, 288–294 (1982).

7. J. Deng, Introduction to grey system theory, The Journal of System, 1–24 (1989).

8. J. Tsuji, Palladium Reagents and Catalysts: New Perspectives for the 21st Century, John Wiley and Sons, Great Britain (2004).

9. J. Kielhorn, C. Melber, D. Keller, and I. Mangelsdorf, Palladium – A review of exposure and effects to human health, International Journal of Hygiene and Environmental Health, 205(6), 417–432 (2002).

10. S. Liu, and Y. Lin, Grey Information: Theory and Practical Applications, Springer, London (2006).

11. S. Liu, and Y. Lin, Grey System: Theory and Applications, Springer, Berlin (2010).

12. S. Liu, Y. Yang, and J. Forrest, A brief introduction to grey systems theory, Grey Systems:Theory and Application, 2, 89–104 (2012).

13. S. Liu, Y. Yang, and J. Forrest, Grey Data Analysis: methods, Model and Applications, Springer, Singapore (2017).

14. M.W. George, 2006 Mineral Yearbook: Platinum-Group Metals, United States Geological Survey, United States America, September (2007).

15. P.J. Loferski, 2009 Mineral Yearbook: Platinum-Group Metals, United States Geological Survey, United States America, March (2011).

16. R.S. Mroczkowski, Electronic Connector Handbook: Theory and Applications, McGraw-Hill, New York (1998).

17. R.W. Hesse, Jewelry-Making Through History: An Encyclopedia, Greenwood Publishing Group, United State of America (2007).

18. R. Rushforth, Palladium in Restorative Dentistry: Superior Physical Properties make Palladium an Ideal Dental Metal, Platinum Metals Review, 48, 30–31 (2004).

19. R.C. Weast, CRC, Handbook of Chemistry and Physics, Chemical Rubber Company Publishing, Boca Raton: Florida (1984).

20. W. Duff, A Text-Book of Physics (4th Ed.), P. Blakiston’s Son & Co, Philadelphia, Retrieved 1 December (2016).

21. W.P. Griffith, Rhodium and Palladium – Events Surrounding Its Discovery, Platinum Metals Review, 47, 175–183 (2003).