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On tail behaviour of nonlinear autoregressive functional conditional heteroscedastic model with heavy-tailed innovations

Pan, J. and Wu, G. (2005) On tail behaviour of nonlinear autoregressive functional conditional heteroscedastic model with heavy-tailed innovations. Science in China Series A: Mathematics, 48 (9). pp. 1169-1181. ISSN 1006-9283

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Abstract

We study the tail probability of the stationary distribution of nonparametric nonlinear autoregressive functional conditional heteroscedastic (NARFCH) model with heavy-tailed innovations. Our result shows that the tail of the stationary marginal distribution of an NARFCH series is heavily dependent on its conditional variance. When the innovations are heavy-tailed, the tail of the stationary marginal distribution of the series will become heavier or thinner than that of its innovations. We give some specific formulas to show how the increment or decrement of tail heaviness depends on the assumption on the conditional variance function. Some examples are given.

Item type: Article
ID code: 4932
Keywords: tail probability, stationary distribution, nonlinear AR model, heavy-tailed distribution, statistics, Probabilities. Mathematical statistics, Mathematics(all)
Subjects: Science > Mathematics > Probabilities. Mathematical statistics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Strathprints Administrator
Date Deposited: 30 Nov 2007
Last modified: 21 May 2015 09:42
URI: http://strathprints.strath.ac.uk/id/eprint/4932

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