Superstatistics and System Identification for a Class of Generalized Cauchy Processes

• Konno Hidetoshi

  Dept. of Risk Engineering, Faculty of Information and Systems, University of Tsukuba

• Uchiyama Yusuke

  Dept. of Risk Engineering, Faculty of Information and Systems, University of Tsukuba

• Pázsit Imre

  Department of Nuclear Engineering, Chalmers University of Technology

Abstract

A generalized Cauchy process has been extensively studied since it gives one of the three universal distributions in Beck-Cohen superstatistics. There are many stochastic processes which give Cauchy type distributions in non-equilibrium open systems. However, their different features of intermittency and associated nonlinear structures are not elucidated completely. This paper exhibits a class of generalized Cauchy processes with their temporal features in the first, second and third order systems. A theoretical method for discriminating their various stochastic models is also discussed.

Journal

• Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications

  Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications 2014 (0), 126-136, 2014-05-05

  The ISCIE Symposium on Stochastic Systems Theory and Its Applications

Keywords

• Materials Science (miscellaneous)

Details

• CRID: 1390564237987213824
• NII Article ID: 130007377510
• DOI: 10.5687/sss.2014.126
• ISSN: 21884749
• ISSN: 21884730
• Web Site: https://www.jstage.jst.go.jp/article/sss/2014/0/2014_126/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed