Page 21 - Textos de Matemática Vol. 47

NAZARE´ AND ARCH PROCESSES: EXTREMAL INDEX ESTIMATION 11
parameter is the number k = kn of order statistics that should be used for a functional consistent estimation of parameters of extremes events, like the EVI. Andweneedtohavekn !1andkn/n!0,asn!1...
And the challenge is followed by a short tribute: When I first met Nazar´e I immediately understood that I had met a special person. And I believed that it would be a forever friendship . . . . We have not had many chances to meet, but when we meet I always feel renovated and happy. Dinis, my husband for more than forty years, says that Nazar´e is not human, just because she cannot lie . . . I indeed think that this is the source of her rightness and fairness. On the other hand, we both think that Nazar´e is one of our more ‘human’ friends, in the sense that she deeply sympathises with other people feelings and problems, and that she feels sad and ashamed with poverty and injustice. Selma Lagerl¨of once wrote that true greatness is greatness of the heart, and I am happy to state that aside from her scientific achievements Nazar´e is great, a great human being and a great friend. And she enjoys a good laugh, a very enjoyable trait, since humans are much more interesting than saints.
Acknowledgments
This research was partially supported by National Funds through FCT (Fundac¸˜ao para a Ciˆencia e a Tecnologia), through the project PEst-OE/MAT/UI0006/2014.
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