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Plotting formula for pearson type III distribution considering historical information.

T V Van Nguyen1, N In-Na

  • 1Department of Civil Engineering and Applied, Mechanics, McGill University, H3A 2K6, Montreal, Quebec, Canada.

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|November 15, 2013
PubMed
Summary
This summary is machine-generated.

A new plotting position formula for the Pearson type III distribution is introduced for analyzing historical flood data. This method offers improved accuracy and flexibility in flood quantile estimation compared to existing formulas.

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Area of Science:

  • Hydrology
  • Statistical Modeling

Background:

  • Existing plotting position formulas are primarily for systematic flood records.
  • Limited research exists on plotting formulas for historical flood data, especially for the Pearson type III distribution.

Purpose of the Study:

  • To propose a novel plotting position formula for the Pearson type III distribution.
  • To enable accurate analysis of both systematic and historical flood records.

Main Methods:

  • Development of a new plotting position formula incorporating skewness.
  • Graphical and numerical comparisons with existing formulas (e.g., Weibull).
  • Application to a numerical example using actual flood data.

Main Results:

  • The proposed formula demonstrates flexibility by accounting for skewness.
  • It provides less bias in flood quantile estimation than established methods.
  • Numerical examples confirm its practical utility.

Conclusions:

  • The developed formula is highly suitable for Pearson type III distribution analysis with historical flood data.
  • It enhances the reliability of flood risk assessment by integrating historical information.