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Published in: Soft Computing 1/2019

20-11-2018 | Methodologies and Application

Pseudo-exponential distribution and its statistical applications in econophysics

Authors: Hossein Mehri-Dehnavi, Hamzeh Agahi, Radko Mesiar

Published in: Soft Computing | Issue 1/2019

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Abstract

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.

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Literature
go back to reference Banerjee A, Yakovenko VM, Di Matteo T (2006) A study of the personal income distribution in Australia. Phys A Stat Mech Appl 370:54–59MathSciNetCrossRef Banerjee A, Yakovenko VM, Di Matteo T (2006) A study of the personal income distribution in Australia. Phys A Stat Mech Appl 370:54–59MathSciNetCrossRef
go back to reference Bede B, O’ Regan D (2013) The theory of pseudo-linear operators. Knowl Based Syst 38:19–26CrossRef Bede B, O’ Regan D (2013) The theory of pseudo-linear operators. Knowl Based Syst 38:19–26CrossRef
go back to reference Bernasconi J (1979) Anomalous frequency-dependent conductivity in disordered one-dimensional systems. Phys Rev Lett 42:819–822CrossRef Bernasconi J (1979) Anomalous frequency-dependent conductivity in disordered one-dimensional systems. Phys Rev Lett 42:819–822CrossRef
go back to reference Budiyono A (2013) Quantization from an exponential distribution of infinitesimal action. Phys A Stat Mech Appl 392:307–313MathSciNetCrossRef Budiyono A (2013) Quantization from an exponential distribution of infinitesimal action. Phys A Stat Mech Appl 392:307–313MathSciNetCrossRef
go back to reference Collier MR (2004) Are magnetospheric suprathermal particle distributions (\(\kappa \) functions) inconsistent with maximum entropy considerations? Adv Space Res 33:2108–2112CrossRef Collier MR (2004) Are magnetospheric suprathermal particle distributions (\(\kappa \) functions) inconsistent with maximum entropy considerations? Adv Space Res 33:2108–2112CrossRef
go back to reference Drăgulescu A, Yakovenko VM (2001) Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States. Phys A Stat Mech Appl 299:213–221CrossRefMATH Drăgulescu A, Yakovenko VM (2001) Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States. Phys A Stat Mech Appl 299:213–221CrossRefMATH
go back to reference Field PR, Hogan RJ, Brown PRA, Illingworth AJ, Choularton TW, Cotton RJ (2005) Parametrization of ice particle size distributions for midlatitude stratiform cloud. Q J R Meteorol Soc 131:1997–2017CrossRef Field PR, Hogan RJ, Brown PRA, Illingworth AJ, Choularton TW, Cotton RJ (2005) Parametrization of ice particle size distributions for midlatitude stratiform cloud. Q J R Meteorol Soc 131:1997–2017CrossRef
go back to reference Granato AV, Lücke K (1956) Theory of mechanical damping due to dislocations. J Appl Phys 27:583–593CrossRefMATH Granato AV, Lücke K (1956) Theory of mechanical damping due to dislocations. J Appl Phys 27:583–593CrossRefMATH
go back to reference Kakalios J, Street RA, Jackson WB (1987) Stretched-exponential relaxation arising from dispersive diffusion of hydrogen in amorphous silicon. Phys Rev Lett 59:1037–1040CrossRef Kakalios J, Street RA, Jackson WB (1987) Stretched-exponential relaxation arising from dispersive diffusion of hydrogen in amorphous silicon. Phys Rev Lett 59:1037–1040CrossRef
go back to reference Kolokoltsov VN, Maslov VP (1997) Idempotent analysis and its applications. Kluwer Academic Publishers, DordrechtCrossRefMATH Kolokoltsov VN, Maslov VP (1997) Idempotent analysis and its applications. Kluwer Academic Publishers, DordrechtCrossRefMATH
go back to reference Litvinov GL, Maslov VP (1996) Idempotent mathematics: correspondence principle and applications. Russ Math Surv 51:1210–1211CrossRefMATH Litvinov GL, Maslov VP (1996) Idempotent mathematics: correspondence principle and applications. Russ Math Surv 51:1210–1211CrossRefMATH
go back to reference Macdonald JR (1985) Frequency response of unified dielectric and conductive systems involving an exponential distribution of activation energies. J Appl Phys 58(5):1955–1970MathSciNetCrossRef Macdonald JR (1985) Frequency response of unified dielectric and conductive systems involving an exponential distribution of activation energies. J Appl Phys 58(5):1955–1970MathSciNetCrossRef
go back to reference Mantegna RN, Stanley HE (1999) Introduction to econophysics: correlations and complexity in finance. Cambridge University Press, CambridgeCrossRefMATH Mantegna RN, Stanley HE (1999) Introduction to econophysics: correlations and complexity in finance. Cambridge University Press, CambridgeCrossRefMATH
go back to reference Mao Y-Y, Strigari LE, Wechsler RH, Wu H-Y, Hahn O (2013) Halo-to-halo similarity and scatter in the velocity distribution of dark matter. Astrophys J 764:35CrossRef Mao Y-Y, Strigari LE, Wechsler RH, Wu H-Y, Hahn O (2013) Halo-to-halo similarity and scatter in the velocity distribution of dark matter. Astrophys J 764:35CrossRef
go back to reference Pap E (1993) \(g\)-calculus. Univ u Novom Sadu Zb Rad Prirod-Mat Fak Ser Mat 23:145–156MATH Pap E (1993) \(g\)-calculus. Univ u Novom Sadu Zb Rad Prirod-Mat Fak Ser Mat 23:145–156MATH
go back to reference Pap E (1995) Null-additive set functions. Kluwer Academic Publishers, DordrechtMATH Pap E (1995) Null-additive set functions. Kluwer Academic Publishers, DordrechtMATH
go back to reference Pap E (2002) Pseudo-additive measures and their applications. In: Pap E (ed) Handbook of measure theory, vol 2. Elsevier, Amsterdam, pp 1403–1465CrossRef Pap E (2002) Pseudo-additive measures and their applications. In: Pap E (ed) Handbook of measure theory, vol 2. Elsevier, Amsterdam, pp 1403–1465CrossRef
go back to reference Pap E (1997) Pseudo-analysis as a mathematical base for soft computing. Soft Comput 1:61–68CrossRef Pap E (1997) Pseudo-analysis as a mathematical base for soft computing. Soft Comput 1:61–68CrossRef
go back to reference Pap E (2005) Application of the generated pseudo-analysis on nonlinear partial differentialequations. In: Litvinov GL, Maslov VP (eds) Proceedings of the conference on idempotent mathematics and mathematical physics, contemporary mathematics, vol 377. American Mathematical Society, pp 239-259 Pap E (2005) Application of the generated pseudo-analysis on nonlinear partial differentialequations. In: Litvinov GL, Maslov VP (eds) Proceedings of the conference on idempotent mathematics and mathematical physics, contemporary mathematics, vol 377. American Mathematical Society, pp 239-259
go back to reference Pap E (2008) Pseudo-analysis approach to nonlinear partial differential equations. Acta Polytechnica Hungarica 5:31–45 Pap E (2008) Pseudo-analysis approach to nonlinear partial differential equations. Acta Polytechnica Hungarica 5:31–45
go back to reference Pap E, Štajner I (1999) Generalized pseudo-convolution in the theory of probabilistic metric spaces, information, fuzzy numbers, optimization, system theory. Fuzzy Sets Syst 102:393–415MathSciNetCrossRefMATH Pap E, Štajner I (1999) Generalized pseudo-convolution in the theory of probabilistic metric spaces, information, fuzzy numbers, optimization, system theory. Fuzzy Sets Syst 102:393–415MathSciNetCrossRefMATH
go back to reference Pap E, Štrboja M, Rudas I (2014) Pseudo-\(L^{p}\) space and convergence. Fuzzy Sets Syst 238:113–128CrossRefMATH Pap E, Štrboja M, Rudas I (2014) Pseudo-\(L^{p}\) space and convergence. Fuzzy Sets Syst 238:113–128CrossRefMATH
go back to reference Schwartz EL (1993) Computational neuroscience. MIT Press, Cambridge Schwartz EL (1993) Computational neuroscience. MIT Press, Cambridge
go back to reference Trappenberg T (2009) Fundamentals of computational neuroscience. OUP Oxford, OxfordMATH Trappenberg T (2009) Fundamentals of computational neuroscience. OUP Oxford, OxfordMATH
go back to reference Zeman A, Brooks KR, Ghebreab S (2015) An exponential filter model predicts lightness illusions. Front Hum Neurosci 9:PMC4478851CrossRef Zeman A, Brooks KR, Ghebreab S (2015) An exponential filter model predicts lightness illusions. Front Hum Neurosci 9:PMC4478851CrossRef
Metadata
Title
Pseudo-exponential distribution and its statistical applications in econophysics
Authors
Hossein Mehri-Dehnavi
Hamzeh Agahi
Radko Mesiar
Publication date
20-11-2018
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 1/2019
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-3623-x

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