400-401

Statistical Theory of Extremes

Exercises

José Tiago de Fonseca Oliveira 1

1.Academia das Ciências de Lisboa (Lisbon Academy of Sciences), Lisbon, Portugal.
http://dx.doi.org/10.21523/gcb1.1729
23-06-2017
28-12-2016
28-12-2016
28-12-2016

Graphical Abstract

Highlights

Abstract

Exercise

Keywords

1 . Exercises

5.1 Study the data given in Sneyers (1977) for early maximal precipitations in mm at Uccle for durations of 20 min, 2h and 6h (samples of 17 observations) Table 1 .

Table 1

Year 20 min 30 min 2 h 6 h
1956 14 16.2 26.7 32.9
1657 10.2 10.4 19 27
1958 8.4 9.5 18.5 22.7
1959 10.6 11.2 15.2 18.6
1960 14.4 15.3 15.4 18.3
1961 15.5 17.6 20.1 20.1
1962 19.5 23.5 48.5 48.5
1963 11.8 11.9 16 30.5
1964 13.2 13.3 25.3 25.3
1965 15 15 15.8 25.8
1966 10.2 10.2 15.5 25.3
1967 13 13 13.4 15.5
1968 9 11.4 17.1 17.5
1969 21 21.5 31.8 49
1970 17.1 17.1 20 27.9
1971 10.5 14 21.8 41
1972 13 15.5 20.8 21.7

5.2 Study some of the data contained in the references to Part 5 (and in particular the lag-correlation) as well as data contained in Parts 2, 3 and 4.

5.3 For Sneyers (1977)  data (Chapter 5) compare the estimators obtained for the full sample (1938/72) and a partial one (1956/72) like the one given above. Compare the two partial samples (1956/72) and discuss if there is an average relation between the durations and the amount of maximal precipitations.

References

1.

Sneyers, R., 1977. L’intensite maximale des precipitations en Belgique, Inst. Royal Meteor. Belgique, ser. B, 86.