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Student's t-distribution versus Zeldovich-Kompaneets solution of diffusion problem

Ryszard Wojnar 

Polish Academy of Sciences, Institute of Fundamental Technological Research (IPPT PAN), Świętokrzyska 21, Warszawa 00-049, Poland

Abstract

It has been proposed a long time ago that t-distribution is a good candidate for describibg heavy tails of stock markets distributions [1]. Student's distribution arises in estimating the parameters of a normally distributed data when the sample size is small. Formally it can be written in the form similar to the Gaussian distribution, in which -however - a binomial expression instead of exponential function appears. Similar binomial form has the Zeldovich-Kompaneets solution of a subdiffusion problem [2]. These two distribution will be compared.

[1]. P. D. Praetz, The distribution of share prices, J. Business 45, 49-55 (1972)

[2]. R. Wojnar, Subdiffusion with external time modulation, Acta Phys. Polon. A 114, 607-611 (2008) 

 

Auxiliary resources (full texts, presentations, posters, etc.)
  1. POSTER: Student's t-distribution versus Zeldovich-Kompaneets solution of diffusion problem, PDF document, version 1.5, 0.9MB
 

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Related papers

Presentation: Poster at 5 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", by Ryszard Wojnar
See On-line Journal of 5 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych"

Submitted: 2010-10-13 19:35
Revised:   2010-11-22 10:42