Soft Computing

, Volume 23, Issue 1, pp 357–363 | Cite as

Pseudo-exponential distribution and its statistical applications in econophysics

  • Hossein Mehri-Dehnavi
  • Hamzeh Agahi
  • Radko Mesiar
Methodologies and Application


In generalized measure theory, \(\sigma \)-\(\oplus \)-measure is a generalization of the classical measure defined on a pseudo-addition. In this paper, the class of pseudo-exponential distributions based on a class of \(\sigma \)-\(\oplus \)-measure is introduced. Some examples of this class are investigated. Then by two real data sets obtained from the last three decades of oil, and the last two decades of the daily natural gas spot prices, we show that the pseudo-exponential distribution is better fitted than exponential distribution using the AIC and BIC information criteria.


Pseudo-operations Pseudo-exponential distribution Moment-generating function Numerical computation 



The authors are very grateful to the anonymous reviewers for their suggestions that have led to a revised version of this paper. Hossein Mehri-Dehnavi was supported by Babol Noshirvani University of Technology with Grant program No. BNUT/390012/97. Hamzeh Agahi was supported by Babol Noshirvani University of Technology with Grant program No. BNUT/392100/97.

Compliance with ethical standards

Conflicts of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Hossein Mehri-Dehnavi
    • 1
  • Hamzeh Agahi
    • 2
  • Radko Mesiar
    • 3
    • 4
  1. 1.Department of Physics, Faculty of Basic ScienceBabol Noshirvani University of TechnologyBabolIran
  2. 2.Department of Mathematics, Faculty of Basic ScienceBabol Noshirvani University of TechnologyBabolIran
  3. 3.Department of Mathematics and Descriptive Geometry, Faculty of Civil EngineeringSlovak University of TechnologyBratislavaSlovakia
  4. 4.Institute of Information Theory and Automation of the Czech Academy of SciencesPraha 8Czech Republic

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