Phénomènes financiers et mélange de lois : Une nouvelle méthode d’estimation des paramètres.

Chilarescu, Constantin and Viasu, Iana Luciana (2011): Phénomènes financiers et mélange de lois : Une nouvelle méthode d’estimation des paramètres.

Abstract

The main aim of this paper is to examine the qualities of the mixed diffusion-jump process whose parameters are random variables. The hypothesis of a Wiener geometric process applied to exchange rate has become doubtful at the beginning of the nineties, fact determined by a high leptokurtosis of the empirical distributions. The alternative of another distribution was studied in several articles. The mathematical model proposed in this paper has as fundamental hypothesis the fact that the distribution of the continuous part of the changes in the logarithms of exchange rate is a mixture of normals whose parameters are random variables.

• Item Type: MPRA Paper
• Language: French
• Keywords: mixed diffusion-jump process; mixture of normals
• Subjects: C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables > C32 - Time-Series Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes ; State Space Models; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63 - Computational Techniques ; Simulation Modeling

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