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We study goodness-of-fit testing for non-causal autoregressive time series with non-Gaussian stable noise. To model time series exhibiting sharp spikes or occasional bursts of outlying observations, t...
Under an appropriate regular variation condition, the affinely normalized partial sums of a sequence of independent and identically dis- tributed random variables converges weakly to a non-Gaussian ...
We establish conditions for the existence and invertibility of fractionally differenced ARIMA time series whose innovations are in the domain of attraction of an a-stable law with E < 2 and consequ...
The limiting behavior of M-estimates for a Iinear model when the regressors and/or errors have heavy tailed distributions is given. By hermy toil we mean that the distribution is in the domain of a...
In this paper we prove a strong approximation result for a mixing sequence with infinite variance and logarithmic decay rate of the mixing coefficient. The result is proved under the assumption that t...
In this paper we prove a strong approximation result for a mixing sequence with infinite variance and logarithmic decay rate of the mixing coefficient. The result is proved under the assumption that t...

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