How Physicists Made Stable Lévy Processes Physically Plausible



Título del documento: How Physicists Made Stable Lévy Processes Physically Plausible
Revista: Brazilian journal of physics
Base de datos: PERIÓDICA
Número de sistema: 000361852
ISSN: 0103-9733
Autores: 1
Instituciones: 1University of Leicester, School of Management, Leicester, Leicestershire. Reino Unido
Año:
Periodo: Ago
Volumen: 43
Número: 4
Paginación: 281-293
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, aplicado
Resumen en inglés Stable Lévy processes have very interesting properties for describing the complex behaviour of non-equilibrium dissipative systems such as turbulence, anomalous diffusion or financial markets. However, although these processes better fit the empirical data, some of their statistical properties can raise several theoretical problems in empirical applications because they generate infinite variables. Econophysicists have developed statistical solutions to make these processes physically plausible. This paper presents a review of these analytical solutions (truncations) for stable Lévy processes and how econophysicists transformed them into data-driven processes. The evolution of these analytical solutions is presented as a progressive research programme provided by (econo)physicists for theoretical problems encountered in financial economics in the 1960s and the 1970s
Disciplinas: Física y astronomía,
Economía
Palabras clave: Econometría,
Estadística,
Procesos estables de Levy,
Econofísica,
Procesos estocásticos,
Mercados financieros
Keyword: Physics and astronomy,
Economics,
Econometrics,
Statistics,
Stable Levy processes,
Econophysics,
Stochastic processes,
Financial markets
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