New multi-parametric analytical approximations of exponential distribution with power law tails for new cars sells and other applications

Physica A: Statistical Mechanics and its Applications

Volumn 427, Issue , 2015, Pages 1-9

  Garanina, O S ^a   Romanovsky, M Yu ^a  

^a PROKHOROV GENERAL PHYSICS INSTITUTE   (Russian Federation)

Author keywords

Exponential distribution; New car sales distribution; Pareto distribution

Indexed keywords

PARETO PRINCIPLE;

ANALYTICAL APPROXIMATION; EFFECTIVE TEMPERATURE; EXPONENTIAL DISTRIBUTIONS; PARAMETRIC FAMILY; PARETO DISTRIBUTIONS; POWER EXPONENT; POWER-LAW TAIL; SALES DISTRIBUTIONS;

SALES;

EID: 84923276463     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2015.01.068     Document Type: Article

References (26)

1. D.W. Forslund, J.M. Kindel, and K. Lee Theory of hot electron spectra at high laser intensity Phys. Rev. Lett. 39 1977 284 286
2. V.M. Yakovenko, and J.B. Rosser Jr. Colloquium: statistical mechanics of money, wealth, and income Rev. Modern Phys. 81 2009 1703 1725
3. M.Yu. Romanovsky, and W. Ebeling Elementary many-particle processes in plasma microfields Contrib. Plasma Phys. 46 2006 195 260
4. I.M. Sokolov, A.V. Chechkin, and J. Klafter Fractional diffusion equation for a power-law-truncated Levy process Physica A 336 2004 245 251
5. W. Ebeling, M.Yu. Romanovsky, and I.M. Sokolov Velocity distributions and kinetic equations for plasmas including Levy type power law tails Contrib. Plasma Phys. 49 2009 704 712
6. P. Gopikrishnan, M. Meyer, L.A.N. Amaral, and H.E. Stanley Inverse cubic law for the distribution of stock price variations Eur. Phys. J. B 3 1998 139 141
7. IRS, Statistics of Income, Individual Complete Report 2004, Publication 1304, September 2006.
8. Annual Abstract of Statistics. 2006 edition, No. 142.
9. Distribution of population 2011: The distribution of employees by size of gross wages (based on a sample survey of organizations for April 2011). http://www.gks.ru/free-doc/new-site/population/trud/obsled/trud2011.htm.
10. E.G. Gamaly Ultrashort powerful laser-matter interactions: physical problems, models and computations Laser Part. Beams 12 1993 185 208
11. P. Gibbon, and E. Forster Short-pulse laser plasma interaction Plasma Phys. Control. Fusion 38 1996 769
12. S.A. Galkin, O.I. Elagin, V.A. Potapenko, and M.Yu. Romanovsky New tasks for econophysics: estimation of citizen incomes in Russia on their expenses on new cars. Mathematical model of enterprises that demonstrate exponential growth of assets V.V. Haritonov, A.A. Ershov, Econophysics. Modern Physics in Search of Economic Theory 2007 Moscow Engineering Physics Institute Moscow
13. O.S. Garanina, and M.Yu. Romanovsky Experimental investigation of Russian citizens expenses on new cars and a correspondence to their income Comput. Res. Model. 4 2012 621 629 (in Russian)
14. M.Yu. Romanovsky, and P.V. Vidov Analytical representation of stock and stock-indexes returns: non-Gaussian random walks with various jump laws Physica A 390 2011 3794 3805
15. M.Yu. Romanovsky Functional Levy walks Phys. Wave Phenom. 17 2009 228 232
16. M. Abramowitz, and I. Stegun Handbook of Mathematical Functions 1964 Natl. Bur. Stand. Washington
17. The USA sites, 2005: quantity of sold new cars was received from: www.autonews.com; prices were taken from: http://autos.yahoo.com/new-cars.html;ylt=Aoitq8TiHPQGDssYQeWLh-UEc78F, http://www.carprices.com/.
18. J. Mimkes, Th. Freund, G. Willis, Lagrange statistics in systems (markets) with price constraints: analysis of property, car sales, marriage and job markets by the Boltzamann function and the Pareto distribution, 2002. arXiv:cond-mat/0204234.
19. A. Dragulesku, and V.M. Yakovenko Evidence for the exponential distribution of income in the USA Eur. Phys. J. B 20 2001 585 589
20. A. Dragulescu, and V.M. Yakovenko Statistical mechanics of money Eur. Phys. J. B 17 2000 723 729
21. A. Chakraborti, and B.K. Chakrabarti Statistical mechanics of money: how saving propensity affects its distribution Eur. Phys. J. B 17 2000 167 170
22. Distribution of population 2013: The distribution of employees by size of gross wages (based on a sample survey of organizations for April 2013). http://www.gks.ru/free-doc/new-site/population/trud/obsled/trud2013.htm.
23. A. Dragulesku, and V.M. Yakovenko Exponential and power-law distributions of wealth and income in the United Kingdom and the United States Physica A 299 2001 213 221
24. A.M. Chebotarev On stable Pareto laws in a hierarchical model of economy Physica A 373 2007 541 559
25. S. Lekar', and M. Loshchinin Econometry of natural person in Ukraina at 2000 Ukr. J. Econ. 1 2004 66 82 (in Russian)
26. M.Yu. Romanovsky, and Yu.M. Romanovsky Introduction to Econophysics. Statistical and Dynamical Models second ed. 2012 Computer Research Institute Moscow-Izhevsk 340