Significance of Nonlinear Friction in A Generalized Cauchy Process

来源 :2010年第十届中日统计研讨会 | 被引量 : 0次 | 上传用户:ywanywhere
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  Many researchers attentions are paid for predicting and controlling the phenomena associated with fat-tailed distributions in physics,chemistry,biology,econophysics and so on [1-15].L" evy [1,14],stretched exponential [2],multiplicative lognormal [3,4],a generalized Cauchy [5,6] and other distributions [7-13] are utilized to analyze various nonlinear time series data in many fields.Their discussions are mainly focused on goodness of fit to the probability density function.So,their physical mechanism is not elucidated due to the difficulty in deriving a simple physical model with small numbers of parameters form a set of realistic complex partial differential equations.
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