Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Statistical Simulation Method for Joint Time Series of Non-stationary
  Hourly Wave Parameters   Statistically simulated time series of wave parameters are required for many
coastal and offshore engineering applications, often at the resolution of
approximately one hour. Various studies have relied on autoregressive
moving-average (ARMA) processes to simulate synthetic series of wave parameters
in a Monte Carlo sense. However, accurately representing inter-series
dependencies has remained a challenge. In particular, the relationship between
wave height and period statistics is complex, due to the limiting steepness
condition. Here, we present a new simulation method for joint time series of
significant wave height, mean zero-crossing periods and a directional regime
variable. The latter distinguishes between northern and southwestern waves. The
method rests on several model components which include renewal processes,
Fourier series with random coefficients, ARMA processes, copulas and
regime-switching. A particular feature is a data-driven estimate for a wave
height-dependent limiting wave steepness condition which is used to facilitate
copulabased dependence modeling. The method was developed for and applied to a
data set in the Southern North Sea. For this site, the method could simulate
time series with realistic annual cycles and inter-annual variability. In the
time series data, the bivariate distribution of significant wave height and
mean zero-crossing period was well represented. An influence of the directional
regime on the bivariate distribution could also be modeled. However, the
influence was not as strong in simulated data as in observed data. Finally,
simulated series captured duration and inter-arrival time of storm events well.
Potential applications for output of the simulation method range from the
assessment of coastal risks or design of coastal structures to the planning and
budgeting of offshore operations.

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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph