scholarly journals Variational study of the Kitaev-Heisenberg-Gamma model

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
Shang-Shun Zhang ◽  
Gábor B. Halász ◽  
Wei Zhu ◽  
Cristian D. Batista
2020 ◽  
Vol 17 (1) ◽  
pp. 67-75
Author(s):  
John Fry ◽  
Oliver Smart ◽  
Jean-Philippe Serbera ◽  
Bernhard Klar

Abstract Amid much recent interest we discuss a Variance Gamma model for Rugby Union matches (applications to other sports are possible). Our model emerges as a special case of the recently introduced Gamma Difference distribution though there is a rich history of applied work using the Variance Gamma distribution – particularly in finance. Restricting to this special case adds analytical tractability and computational ease. Our three-dimensional model extends classical two-dimensional Poisson models for soccer. Analytical results are obtained for match outcomes, total score and the awarding of bonus points. Model calibration is demonstrated using historical results, bookmakers’ data and tournament simulations.


2008 ◽  
Vol 25 (9) ◽  
pp. 3129-3131
Author(s):  
Zhu Wei-Ting ◽  
Ren Qing-Bao ◽  
Chen Qing-Hu

2020 ◽  
Vol 180 ◽  
pp. 104666
Author(s):  
Ruijian Han ◽  
Kani Chen ◽  
Chunxi Tan
Keyword(s):  

2012 ◽  
Author(s):  
Edilberto Cepeda Cuervo ◽  
Marinho G. Andrade ◽  
Jorge Alberto Achcar

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