Abstract:
When collecting samples, sometimes failures of observations occur and
consequently missing data. This can have an impact on the analysis and
subsequent inference, especially if the study focuses on the extreme values
where the data is more scarce. In this work, we analyze the effect of
different types of failures on the dependence within the tail of a stationary
series. We will also present some examples.
Keywords:theory of extreme values, stationary sequence,
dependence on extreme values, asymptotic independence of extreme values.