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Extreme value theory for a class of EGARCH processes is developed. It is shown that the EGARCH process as well as the … GARCH ; extreme value theory ; tail behavior ; Gumbel distribution ; conditional variance ; Gaussian tail ; stochastic …
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For an AR(1) process with ARCH(1) errors, we propose empirical likelihood tests for testing whether the sequence is strictly stationary but has infinte variance, or the sequence is an ARCH(1) sequence or the sequence is an iid sequence. Moreover, an empirical likelihood based confidence interval...
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