Based on a necessary condition for variability ordering of distributions with regularly varying tails it is shown that, for such distributions, order statistics from the same sample are not comparable in the sense of several well-known variability orders. General restrictions in the two-sample case
Statistical inference in regression with heavy-tailed integrated variables
โ Scribed by S. Mittnik; V. Paulauskas; S.T. Rachev
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 1014 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0895-7177
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โฆ Synopsis
We consider the problem of statistical inference in a bivariate time series regression model when the innovations are heavy-tailed and the OLS estimator is used for parameter estimation. We develop the asymptotic theory for the OLS estimator and the corresponding t-statistics. Limit distributions, that enable us to construct confidence intervals for the estimated parameters, are obtained via Monte Carlo simulations. The approach allows the components of the innovation vector to have different tail behavior.
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