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Weibull Gumbel And Frechet Extreme Event Probability

Calculate extreme event amplitude and return period from return period data using the Weibull, Gumbel and Frechet probability distributions.

A best fit line is calculated for the data points using the least squares linear regression method. The regression is calculated for X versus Z instead of Z versus X (the X and Z values are swapped). The three parameter distribution amplitude offset is a minimum amplitude. The regression data points and regression parameters are displayed in the output view at the bottom of the page. Use the Data Plot option on the plot bar to display the data points and the best fit line.

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CALCULATOR : Extreme Event Amplitude From Return Period Data Weibull Gumbel And Frechet Distribution (Vector Data) [FREE]   ±

Calculate the best fit from extreme value return period vector data points, using Weibull, Gumbel or Frechet probability distributions.

Enter data as comma separated pairs (R,E), with each pair on a new line. Extreme value events may include wave height, wave period, current velocity, and wind velocity etc... The regression output is displayed at the bottom of the page. Use the Data Plot option to plot the data points with the calculated linear regression best fit.

Tool Input

  • sptype : Sample Period Type
    • Su : User Defined Sample Period
  • offtype : Parameter Type
    • Aou : User Defined Amplitude Offset
  • rtype : Regression Probability Distribution Type
  • Rdata : Return Period Data
  • Adata : Amplitude Data
  • R : Return Period

Tool Output

  • A : Amplitude
  • Ao : Amplitude Offset
  • Md : Median Amplitude
  • Mn : Mean Amplitude
  • Mo : Mode Amplitude
  • S : Sample Period
  • r : Correlation Coefficient
CALCULATOR : Extreme Event Amplitude From Return Period Data Weibull Gumbel And Frechet Distribution (Array Data) [FREE]   ±

Calculate the best fit from extreme value return period array data points, using Weibull, Gumbel or Frechet probability distributions.

Enter data points separated by commas. Extreme value events may include wave height, wave period, current velocity, and wind velocity etc... The regression output is displayed at the bottom of the page. Use the Data Plot option to plot the data points with the calculated linear regression best fit.

Tool Input

  • sptype : Sample Period Type
    • Su : User Defined Sample Period
  • offtype : Parameter Type
    • Aou : User Defined Extreme Event Amplitude Offset
  • rtype : Regression Probability Distribution Type
  • Rdata : Return Period Data
  • Adata : Amplitude Data
  • R : Return Period

Tool Output

  • A : Amplitude
  • Ao : Amplitude Offset
  • Md : Median Amplitude
  • Mn : Mean Amplitude
  • Mo : Mode Amplitude
  • S : Sample Period
  • r : Correlation Coefficient
CALCULATOR : Extreme Event Amplitude From Return Period Data Weibull Gumbel And Frechet Distribution (File Data - Modern Browser Required) [FREE]   ±

Calculate the best fit from extreme value return period text file data points, using Weibull, Gumbel or Frechet probability distributions (a modern browser is required).

Save the data to a text file as comma separated pairs (R,E), with each pair on a new line. Extreme value events may include wave height, wave period, current velocity, and wind velocity etc... The regression output is displayed at the bottom of the page. Use the Data Plot option to plot the data points with the calculated linear regression best fit. Refer to the example text file in resources. Change units on the setup page.

Tool Input

  • sptype : Sample Period Type
    • Su : User Defined Sample Period
  • offtype : Parameter Type
    • Aou : User Defined Amplitude Offset
  • rtype : Regression Probability Distribution Type
  • Rdata : Return Period Data
  • Adata : Amplitude Data
  • R : Return Period

Tool Output

  • A : Amplitude
  • Ao : Amplitude Offset
  • Md : Median Amplitude
  • Mn : Mean Amplitude
  • Mo : Mode Amplitude
  • S : Sample Period
  • r : Correlation Coefficient
CALCULATOR : Extreme Event Exceedance Probability Cumulative Probability And Encounter Probability From Return Period [FREE]   ±

Calculate extreme event probability from return period (exceedance probability, cumulative probability, and encounter probability).

The exceedance probability is the probability of the return period event occurring in any sample period (for example the probability of a 20 year event occurring in any sample period). The cumulative probability is the probability of the return period event not occurring in any sample period (for example the probability of a 20 year event not occurring in any sample period). The encounter probability is the probability of the return period event occurring in the design period (for example the probability of a 20 year event occurring in a 30 year design period).

Tool Input

  • sptype : Sample Period Type
    • su : User Defined Sample Period
  • R : Return Period
  • D : Design Period

Tool Output

  • Pc : Cumulative Probability
  • Pe : Encounter Probability
  • Px : Exceedance Probability
  • S : Sample Period
  • nd : No Of Samples In Design Period
  • nr : No Of Samples In Return Period
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