Estimating Joint Flow Probabilities at Stream Confluences by Using Copulas

@article{Kilgore2011EstimatingJF,
  title={Estimating Joint Flow Probabilities at Stream Confluences by Using Copulas},
  author={Roger Trautman Kilgore and David B. Thompson},
  journal={Transportation Research Record},
  year={2011},
  volume={2262},
  pages={200 - 206}
}
Highway drainage structures are often located near the confluence of two streams, where the structures may be subjected to inundation by high flows from either stream. These structures must be designed to meet specified performance objectives for floods. Although many tools estimate the probability of flooding on a single stream, there is little guidance for quantifying the probability of flooding on two streams simultaneously, which is a problem of estimating the joint probability of… 

Figures and Tables from this paper

Variations Detection of Bivariate Dependence Based on Copulas Model
TLDR
An introduction to detect variations for bivariate relationship, based on the methods of sliding window and copula function, illustrated by the case of monthly precipitation and streamflow sequence in Xianyang station of Weihe River.
Copulae: An overview and recent developments
TLDR
An overview of copula theory is given and how copulae can be used in various fields of data science, including recent results, are provided.
Selected Methods for non-Gaussian Data Analysis
TLDR
This manuscript focuses on the analysis of non-Gaussian distributed data, and the use of higher order multivariate cumulants in computer science is inspired by financial data analysis, especially by the safe investment portfolio evaluation.
Analysis of the Parametric Correlation in Mathematical Modeling of In Vitro Glioblastoma Evolution Using Copulas
TLDR
Copulas are demonstrated to be an adequate tool to analyze highly-correlated multiparametric mathematical models such as those appearing in Biology, with the added value of providing key information for the optimal design of experiments, reducing time and cost in in vivo and in vitro experimental campaigns, like those required in microfluidic models of GBM evolution.
Impact of non-stationarity on estimating and modeling empirical copulas of daily stock returns
TLDR
The K-copula covers the empirical dependence structure on the local scale most adequately, whereas the skewed Student’s t-Copula best captures the asymmetry of the empirical copula on the global scale.
Impact of Nonstationarity on Estimating and Modeling Empirical Copulas of Daily Stock Returns
TLDR
The K-copula covers the empirical dependence structure on the local scale most adequately, whereas the skewed Student's t-Copula best captures the asymmetry of the empirical copula on the global scale.
Sparse conditional copula models for structured output regression
Long-term fatigue assessment of deepwater risers in time domain
Floating production systems are subjected to various environmental loads during its service life. Fatigue design of a riser system of floating structures is a challenging task due to its requirement
A study of the power-cosine copula
  • C. Chesneau
  • Computer Science
    Open Journal of Mathematical Analysis
  • 2021
TLDR
This paper offers a new kind of trigonometric bivariate copula based on power and cosine functions via analytical and graphical approaches and shows that it may be used to create a new bivariate normal distribution with interesting shapes.
Generative Quantum Learning of Joint Probability Distribution Functions
TLDR
It is shown that any copula can be naturally mapped to a multipartite maximally entangled state and theoretical arguments for exponential advantage in the model’s expressivity over classical models based on communication and computational complexity arguments are presented.
...
1
2
...

References

SHOWING 1-10 OF 10 REFERENCES
Estimating Joint Probabilities of Design Coincident Flows at Stream Confluences
The results of a research study to develop practical procedures for estimating joint probabilities of coincident flows at stream confluences and guidelines for applying the procedures to design
Factors Related to Probability of Joint Flooding on Paired Streams in Ohio
Factors related to the probability of joint flooding on paired streams were investigated. Stream pairs were considered to have flooded jointly at the design-year flood threshold (corresponding to the
Bivariate Flood Frequency Analysis Using the Copula Method
Using the copula method, bivariate distributions of flood peak and volume, and flood volume and duration were derived. A major advantage of this method is that marginal distributions of individual
Thompson , and David Ford . “ Estimating Joint 284 Probabilities of Design Coincident Flows at Stream Confluences
  • 2010
Journal of Hydrologic Engineering
  • Journal of Hydrologic Engineering
  • 2006
Kasnick. “Magnitude and Frequency of 289 Floods in Washington,
  • Water-resources Investigations Report 97-4277,
  • 1998
Magnitude and frequency of floods in Washington
Bivariate Flood Frequency Analysis Using the 287
  • Bivariate Flood Frequency Analysis Using the 287
Magnitude and Frequency of 289 Floods in Washington
TRB 2011 Annual Meeting Original paper submittal -not revised by author
  • TRB 2011 Annual Meeting Original paper submittal -not revised by author