Abstract: The exact theoretical expression describing the
probability distribution of nonlinear sea-surface elevations derived
from the second-order narrowband model has a cumbersome form
that requires numerical computations, not well-disposed to theoretical
or practical applications. Here, the same narrowband model is reexamined
to develop a simpler closed-form approximation suitable
for theoretical and practical applications. The salient features of the
approximate form are explored, and its relative validity is verified
with comparisons to other readily available approximations, and
oceanic data.
Abstract: The European Union Survey on Income and Living
Conditions (EU-SILC) is a popular survey which provides
information on income, poverty, social exclusion and living
conditions of households and individuals in the European Union.
The EU-SILC contains variables which may contain outliers. The
presence of outliers can have an impact on the measures and
indicators used by the EU-SILC. In this paper, we used data sets
from various countries to analyze the presence of outliers. In addition,
we obtain some indicators after removing these outliers, and a
comparison between both situations can be observed. Finally, some
conclusions are obtained.